SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 8 steps t=0.032000 (8.082393e-03) L2 error at time of violation: 0.0285197 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 ---TVD Violated after 25 steps t=0.087500 (4.228795e-11) L2 error at time of violation: 0.0220034 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00341 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00341-0.00224 (0.00117) Potential Increase in error ---TVD Preserved --Testing dt=0.00342 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00342-0.00188 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00343 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00343-0.00152 (0.00191) Potential Increase in error ---TVD Preserved --Testing dt=0.00344 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00344-0.00116 (0.00228) Potential Increase in error ---TVD Preserved --Testing dt=0.00345 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00345-0.0008 (0.00265) Potential Increase in error ---TVD Preserved --Testing dt=0.00346 ---TVD Violated after 31 steps t=0.107260 (1.549871e-13) L2 error at time of violation: 0.0231698 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003451-0.000764 (0.002687) Potential Increase in error ---TVD Preserved --Testing dt=0.003452 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003452-0.000728 (0.002724) Potential Increase in error ---TVD Preserved --Testing dt=0.003453 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003453-0.000692 (0.002761) Potential Increase in error ---TVD Preserved --Testing dt=0.003454 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003454-0.000656 (0.002798) Potential Increase in error ---TVD Preserved --Testing dt=0.003455 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003455-0.00062 (0.002835) Potential Increase in error ---TVD Preserved --Testing dt=0.003456 ---TVD Violated after 31 steps t=0.107136 (1.392220e-13) L2 error at time of violation: 0.0226485 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003455 Theoretial Max dt=0.004795 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 13 steps t=0.104000 (-9.046192e-03) L2 error at time of violation: 0.0568996 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.0078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0078-0.0002 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0079 ---POS Violated after 15 steps t=0.118500 (-1.725678e-02) L2 error at time of violation: 0.0555083 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00781 ---POS Violated after 15 steps t=0.117150 (-3.087262e-04) L2 error at time of violation: 0.0530487 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007801 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007801-0.000184 (0.007617) Potential Increase in error ---POS Preserved --Testing dt=0.007802 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007802-0.000168 (0.007634) Potential Increase in error ---POS Preserved --Testing dt=0.007803 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007803-0.000152 (0.007651) Potential Increase in error ---POS Preserved --Testing dt=0.007804 ---POS Violated after 15 steps t=0.117060 (-2.799383e-05) L2 error at time of violation: 0.0529746 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007803 Theoretial Max dt=0.004795 results_pos = max_dt: 0.0078 s: 6 k: 4 p: [] dx: 0.0100 r: 0.4795 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 6 steps t=0.072000 (3.189871e-02) L2 error at time of violation: 0.0917242 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 ---TVD Violated after 6 steps t=0.066600 (2.797283e-03) L2 error at time of violation: 0.0866489 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01101-0.00389 (0.00712) Potential Increase in error ---TVD Preserved --Testing dt=0.01102 ---TVD Violated after 6 steps t=0.066120 (7.893183e-05) L2 error at time of violation: 0.086644 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011011-0.003879 (0.007132) Potential Increase in error ---TVD Preserved --Testing dt=0.011012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011012-0.003868 (0.007144) Potential Increase in error ---TVD Preserved --Testing dt=0.011013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011013-0.003857 (0.007156) Potential Increase in error ---TVD Preserved --Testing dt=0.011014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011014-0.003846 (0.007168) Potential Increase in error ---TVD Preserved --Testing dt=0.011015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011015-0.003835 (0.00718) Potential Increase in error ---TVD Preserved --Testing dt=0.011016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011016-0.003824 (0.007192) Potential Increase in error ---TVD Preserved --Testing dt=0.011017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011017-0.003813 (0.007204) Potential Increase in error ---TVD Preserved --Testing dt=0.011018 ---TVD Violated after 6 steps t=0.066108 (9.014603e-06) L2 error at time of violation: 0.0866439 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011017 Theoretial Max dt=0.030930 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 ---POS Violated after 5 steps t=0.110000 (-4.671857e-03) L2 error at time of violation: 0.138929 Refining dt search increment 0.001->0.0001 --Testing dt=0.0211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0211-0.0195 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.0212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0212-0.019 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0213-0.0185 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0214 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0214-0.018 (0.0034) Potential Increase in error ---POS Preserved --Testing dt=0.0215 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0215-0.0175 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0216 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0216-0.017 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0217 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0217-0.0165 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0218 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0218-0.016 (0.0058) Potential Increase in error ---POS Preserved --Testing dt=0.0219 ---POS Violated after 5 steps t=0.109500 (-1.447801e-03) L2 error at time of violation: 0.138923 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02181-0.01595 (0.00586) Potential Increase in error ---POS Preserved --Testing dt=0.02182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02182-0.0159 (0.00592) Potential Increase in error ---POS Preserved --Testing dt=0.02183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02183-0.01585 (0.00598) Potential Increase in error ---POS Preserved --Testing dt=0.02184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02184-0.0158 (0.00604) Potential Increase in error ---POS Preserved --Testing dt=0.02185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02185-0.01575 (0.0061) Potential Increase in error ---POS Preserved --Testing dt=0.02186 ---POS Violated after 5 steps t=0.109300 (-1.832030e-04) L2 error at time of violation: 0.138912 Refining dt search increment 1e-05->1e-06 --Testing dt=0.021851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021851-0.015745 (0.006106) Potential Increase in error ---POS Preserved --Testing dt=0.021852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021852-0.01574 (0.006112) Potential Increase in error ---POS Preserved --Testing dt=0.021853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021853-0.015735 (0.006118) Potential Increase in error ---POS Preserved --Testing dt=0.021854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021854-0.01573 (0.006124) Potential Increase in error ---POS Preserved --Testing dt=0.021855 ---POS Violated after 5 steps t=0.109275 (-2.611773e-05) L2 error at time of violation: 0.138911 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.021854 Theoretial Max dt=0.030930 results_pos = max_dt: 0.0219 s: 6 k: 5 p: [] dx: 0.0100 r: 3.0930 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 7 steps t=0.049000 (3.365227e-04) L2 error at time of violation: 0.0500636 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 ---TVD Violated after 7 steps t=0.042700 (4.559286e-06) L2 error at time of violation: 0.0459362 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00601-0.0048 (0.00121) Potential Increase in error ---TVD Preserved --Testing dt=0.00602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00602-0.0046 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00603-0.0044 (0.00163) Potential Increase in error ---TVD Preserved --Testing dt=0.00604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00604-0.0042 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00605 ---TVD Violated after 8 steps t=0.048400 (1.105163e-06) L2 error at time of violation: 0.0434743 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006041 ---TVD Violated after 8 steps t=0.048328 (5.737600e-08) L2 error at time of violation: 0.0436393 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006040 Theoretial Max dt=0.020027 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 8 steps t=0.104000 (-4.252522e-02) L2 error at time of violation: 0.100958 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---POS Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---POS Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---POS Preserved --Testing dt=0.0125 ---POS Violated after 9 steps t=0.112500 (-8.024395e-03) L2 error at time of violation: 0.0861627 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01241-0.0009 (0.01151) Potential Increase in error ---POS Preserved --Testing dt=0.01242 ---POS Violated after 9 steps t=0.111780 (-9.345371e-04) L2 error at time of violation: 0.0837286 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012411 ---POS Violated after 9 steps t=0.111699 (-9.300673e-05) L2 error at time of violation: 0.0835561 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012410 Theoretial Max dt=0.020027 results_pos = max_dt: 0.0124 s: 5 k: 4 p: [] dx: 0.0100 r: 2.0027 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 27 steps t=0.081000 (8.223831e-09) L2 error at time of violation: 0.0157 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0025 ---TVD Preserved --Testing dt=0.0026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0026-0.0002 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0027-0.0008 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0028-0.0018 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0029 ---TVD Violated after 23 steps t=0.066700 (2.944661e-08) L2 error at time of violation: 0.0177432 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00281 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00281-0.00136 (0.00145) Potential Increase in error ---TVD Preserved --Testing dt=0.00282 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00282-0.00092 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00283 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00283-0.00048 (0.00235) Potential Increase in error ---TVD Preserved --Testing dt=0.00284 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00284-4e-05 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.00285 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00285-0.00245 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.00286 ---TVD Violated after 27 steps t=0.077220 (1.810542e-09) L2 error at time of violation: 0.0195418 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002851-0.002407 (0.000444) Potential Increase in error ---TVD Preserved --Testing dt=0.002852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002852-0.002364 (0.000488) Potential Increase in error ---TVD Preserved --Testing dt=0.002853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002853-0.002321 (0.000532) Potential Increase in error ---TVD Preserved --Testing dt=0.002854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002854-0.002278 (0.000576) Potential Increase in error ---TVD Preserved --Testing dt=0.002855 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002855-0.002235 (0.00062) Potential Increase in error ---TVD Preserved --Testing dt=0.002856 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002856-0.002192 (0.000664) Potential Increase in error ---TVD Preserved --Testing dt=0.002857 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002857-0.002149 (0.000708) Potential Increase in error ---TVD Preserved --Testing dt=0.002858 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002858-0.002106 (0.000752) Potential Increase in error ---TVD Preserved --Testing dt=0.002859 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002859-0.002063 (0.000796) Potential Increase in error ---TVD Preserved --Testing dt=0.00286 ---TVD Violated after 27 steps t=0.077220 (1.810542e-09) L2 error at time of violation: 0.0195418 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002859 Theoretial Max dt=0.003358 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Violated after 5 steps t=0.030000 (-6.541803e-02) L2 error at time of violation: 0.0564501 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0053 ---POS Violated after 5 steps t=0.026500 (-2.676608e-03) L2 error at time of violation: 0.0460673 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00521 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00521-0.00517 (4e-05) Potential Increase in error ---POS Preserved --Testing dt=0.00522 ---POS Violated after 10 steps t=0.052200 (-2.644596e-04) L2 error at time of violation: 0.0305299 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005211-0.005147 (6.4e-05) Potential Increase in error ---POS Preserved --Testing dt=0.005212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005212-0.005124 (8.8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.005213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005213-0.005101 (0.000112) Potential Increase in error ---POS Preserved --Testing dt=0.005214 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005214-0.005078 (0.000136) Potential Increase in error ---POS Preserved --Testing dt=0.005215 ---POS Violated after 10 steps t=0.052150 (-2.760640e-05) L2 error at time of violation: 0.030624 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005214 Theoretial Max dt=0.003358 results_pos = max_dt: 0.0052 s: 3 k: 4 p: [] dx: 0.0100 r: 0.3358 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 15 steps t=0.060000 (2.352100e-08) L2 error at time of violation: 0.0173436 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0037-0.0029 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0038-0.0034 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0039-0.0002 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 15 steps t=0.060000 (2.352100e-08) L2 error at time of violation: 0.0173436 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00391-0.00379 (0.00012) Potential Increase in error ---TVD Preserved --Testing dt=0.00392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00392-0.00348 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00393-0.00317 (0.00076) Potential Increase in error ---TVD Preserved --Testing dt=0.00394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00394-0.00286 (0.00108) Potential Increase in error ---TVD Preserved --Testing dt=0.00395 ---TVD Violated after 24 steps t=0.094800 (5.261347e-13) L2 error at time of violation: 0.0140065 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003941 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003941-0.002829 (0.001112) Potential Increase in error ---TVD Preserved --Testing dt=0.003942 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003942-0.002798 (0.001144) Potential Increase in error ---TVD Preserved --Testing dt=0.003943 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003943-0.002767 (0.001176) Potential Increase in error ---TVD Preserved --Testing dt=0.003944 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003944-0.002736 (0.001208) Potential Increase in error ---TVD Preserved --Testing dt=0.003945 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003945-0.002705 (0.00124) Potential Increase in error ---TVD Preserved --Testing dt=0.003946 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003946-0.002674 (0.001272) Potential Increase in error ---TVD Preserved --Testing dt=0.003947 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003947-0.002643 (0.001304) Potential Increase in error ---TVD Preserved --Testing dt=0.003948 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003948-0.002612 (0.001336) Potential Increase in error ---TVD Preserved --Testing dt=0.003949 ---TVD Violated after 24 steps t=0.094776 (2.506884e-13) L2 error at time of violation: 0.0139414 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003948 Theoretial Max dt=0.011637 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 3 steps t=0.027000 (-3.845994e-02) L2 error at time of violation: 0.0555363 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0085 ---POS Violated after 3 steps t=0.025500 (-5.763040e-03) L2 error at time of violation: 0.0453724 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00841 ---POS Violated after 3 steps t=0.025230 (-3.644361e-04) L2 error at time of violation: 0.0454122 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008401-0.007386 (0.001015) Potential Increase in error ---POS Preserved --Testing dt=0.008402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008402-0.007372 (0.00103) Potential Increase in error ---POS Preserved --Testing dt=0.008403 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008403-0.007358 (0.001045) Potential Increase in error ---POS Preserved --Testing dt=0.008404 ---POS Violated after 3 steps t=0.025212 (-1.282671e-05) L2 error at time of violation: 0.045416 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008403 Theoretial Max dt=0.011637 results_pos = max_dt: 0.0084 s: 3 k: 3 p: [] dx: 0.0100 r: 1.1637 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 6 steps t=0.036000 (1.187197e-02) L2 error at time of violation: 0.0495203 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 ---TVD Violated after 6 steps t=0.033600 (1.822970e-03) L2 error at time of violation: 0.0530261 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00551 ---TVD Violated after 12 steps t=0.066120 (8.879720e-04) L2 error at time of violation: 0.0266274 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005501-0.003978 (0.001523) Potential Increase in error ---TVD Preserved --Testing dt=0.005502 ---TVD Violated after 12 steps t=0.066024 (9.988430e-05) L2 error at time of violation: 0.0263407 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005501 Theoretial Max dt=0.019327 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 4 steps t=0.052000 (-2.905387e-03) L2 error at time of violation: 0.0852022 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 ---POS Violated after 10 steps t=0.122000 (-5.190586e-04) L2 error at time of violation: 0.0846391 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01211-0.0039 (0.00821) Potential Increase in error ---POS Preserved --Testing dt=0.01212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01212-0.0038 (0.00832) Potential Increase in error ---POS Preserved --Testing dt=0.01213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01213-0.0037 (0.00843) Potential Increase in error ---POS Preserved --Testing dt=0.01214 ---POS Violated after 10 steps t=0.121400 (-8.736100e-03) L2 error at time of violation: 0.08392 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012131-0.00369 (0.008441) Potential Increase in error ---POS Preserved --Testing dt=0.012132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012132-0.00368 (0.008452) Potential Increase in error ---POS Preserved --Testing dt=0.012133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012133-0.00367 (0.008463) Potential Increase in error ---POS Preserved --Testing dt=0.012134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012134-0.00366 (0.008474) Potential Increase in error ---POS Preserved --Testing dt=0.012135 ---POS Violated after 10 steps t=0.121350 (-1.690335e-02) L2 error at time of violation: 0.0841581 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012134 Theoretial Max dt=0.019327 results_pos = max_dt: 0.0121 s: 4 k: 4 p: [] dx: 0.0100 r: 1.9327 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 8 steps t=0.112000 (3.188524e-03) L2 error at time of violation: 0.127831 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0134 ---TVD Violated after 9 steps t=0.120600 (5.178985e-04) L2 error at time of violation: 0.120806 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01331-0.00521 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.01332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01332-0.00512 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.01333 ---TVD Violated after 9 steps t=0.119970 (3.863097e-05) L2 error at time of violation: 0.116619 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013321-0.005111 (0.00821) Potential Increase in error ---TVD Preserved --Testing dt=0.013322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013322-0.005102 (0.00822) Potential Increase in error ---TVD Preserved --Testing dt=0.013323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013323-0.005093 (0.00823) Potential Increase in error ---TVD Preserved --Testing dt=0.013324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013324-0.005084 (0.00824) Potential Increase in error ---TVD Preserved --Testing dt=0.013325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013325-0.005075 (0.00825) Potential Increase in error ---TVD Preserved --Testing dt=0.013326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013326-0.005066 (0.00826) Potential Increase in error ---TVD Preserved --Testing dt=0.013327 ---TVD Violated after 9 steps t=0.119943 (5.802043e-06) L2 error at time of violation: 0.116623 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013326 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.210000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.012 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.023 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.220000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.013 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.024 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.230000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.014 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.025 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.240000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025-0.015 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.026 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.250000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.016 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.027 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260000 ---POS Violated after 9 steps t=0.243000 (-6.438914e-02) L2 error at time of violation: 0.178107 Refining dt search increment 0.001->0.0001 --Testing dt=0.0261 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0261-0.0251 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0262 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261000 ---POS Violated after 9 steps t=0.235800 (-1.678365e-02) L2 error at time of violation: 0.172222 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02611 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02611-0.02601 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02612 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261100 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02612-0.02602 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02613 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261200 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02613-0.02603 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02614 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261300 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02614-0.02604 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02615 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02615-0.02605 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02616 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261500 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02616-0.02606 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02617 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261600 ---POS Violated after 9 steps t=0.235530 (-1.061654e-03) L2 error at time of violation: 0.17175 Refining dt search increment 1e-05->1e-06 --Testing dt=0.026161 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026161-0.026151 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026162 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261610 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026162-0.026152 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026163 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261620 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026163-0.026153 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026164 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261630 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026164-0.026154 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026165 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261640 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026165-0.026155 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026166 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261650 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026166-0.026156 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026167 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261660 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026167-0.026157 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026168 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.261670 ---POS Violated after 9 steps t=0.235512 (-9.212046e-05) L2 error at time of violation: 0.171734 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.026167 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0262 s: 7 k: 7 p: [] dx: 0.0100 r: 4.4835 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 7 steps t=0.098000 (3.188524e-03) L2 error at time of violation: 0.114621 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 ---TVD Violated after 9 steps t=0.119700 (5.492757e-04) L2 error at time of violation: 0.0963342 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01321-0.00611 (0.0071) Potential Increase in error ---TVD Preserved --Testing dt=0.01322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01322-0.00602 (0.0072) Potential Increase in error ---TVD Preserved --Testing dt=0.01323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01323-0.00593 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.01324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01324-0.00584 (0.0074) Potential Increase in error ---TVD Preserved --Testing dt=0.01325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01325-0.00575 (0.0075) Potential Increase in error ---TVD Preserved --Testing dt=0.01326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01326-0.00566 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.01327 ---TVD Violated after 9 steps t=0.119430 (7.019878e-05) L2 error at time of violation: 0.0964569 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013261-0.005651 (0.00761) Potential Increase in error ---TVD Preserved --Testing dt=0.013262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013262-0.005642 (0.00762) Potential Increase in error ---TVD Preserved --Testing dt=0.013263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013263-0.005633 (0.00763) Potential Increase in error ---TVD Preserved --Testing dt=0.013264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013264-0.005624 (0.00764) Potential Increase in error ---TVD Preserved --Testing dt=0.013265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013265-0.005615 (0.00765) Potential Increase in error ---TVD Preserved --Testing dt=0.013266 ---TVD Violated after 9 steps t=0.119394 (1.623484e-06) L2 error at time of violation: 0.0964732 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013265 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.017 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.027 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.234000 ---POS Violated after 8 steps t=0.216000 (-6.438914e-02) L2 error at time of violation: 0.160144 Refining dt search increment 0.001->0.0001 --Testing dt=0.0261 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.234000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0261-0.0252 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0262 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.234900 ---POS Violated after 8 steps t=0.209600 (-1.678365e-02) L2 error at time of violation: 0.153786 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02611 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.234900 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02611-0.02602 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02612 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.234990 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02612-0.02603 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02613 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235080 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02613-0.02604 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02614 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235170 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02614-0.02605 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02615 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235260 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02615-0.02606 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02616 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235350 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02616-0.02607 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02617 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235440 ---POS Violated after 8 steps t=0.209360 (-1.061654e-03) L2 error at time of violation: 0.15327 Refining dt search increment 1e-05->1e-06 --Testing dt=0.026161 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235440 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026161-0.026152 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.026162 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235449 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026162-0.026153 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.026163 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235458 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026163-0.026154 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.026164 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235467 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026164-0.026155 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.026165 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235476 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026165-0.026156 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.026166 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026166-0.026157 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.026167 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026167-0.026158 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.026168 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.235503 ---POS Violated after 8 steps t=0.209344 (-9.212047e-05) L2 error at time of violation: 0.153254 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.026167 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0262 s: 7 k: 6 p: [] dx: 0.0100 r: 4.4835 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k9pT2copy.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 8 steps t=0.064000 (4.869469e-06) L2 error at time of violation: 0.0453836 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 ---TVD Violated after 12 steps t=0.091200 (3.917028e-10) L2 error at time of violation: 0.0235359 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00751 ---TVD Violated after 12 steps t=0.090120 (3.043787e-12) L2 error at time of violation: 0.023558 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007501-0.004984 (0.002517) Potential Increase in error ---TVD Preserved --Testing dt=0.007502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007502-0.004968 (0.002534) Potential Increase in error ---TVD Preserved --Testing dt=0.007503 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007503-0.004952 (0.002551) Potential Increase in error ---TVD Preserved --Testing dt=0.007504 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007504-0.004936 (0.002568) Potential Increase in error ---TVD Preserved --Testing dt=0.007505 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007505-0.00492 (0.002585) Potential Increase in error ---TVD Preserved --Testing dt=0.007506 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007506-0.004904 (0.002602) Potential Increase in error ---TVD Preserved --Testing dt=0.007507 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007507-0.004888 (0.002619) Potential Increase in error ---TVD Preserved --Testing dt=0.007508 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007508-0.004872 (0.002636) Potential Increase in error ---TVD Preserved --Testing dt=0.007509 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007509-0.004856 (0.002653) Potential Increase in error ---TVD Preserved --Testing dt=0.00751 ---TVD Violated after 12 steps t=0.090120 (3.043565e-12) L2 error at time of violation: 0.023558 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007509 Theoretial Max dt=0.016480 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k9pT2copy.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 ---POS Violated after 5 steps t=0.095000 (-4.089572e-03) L2 error at time of violation: 0.0994818 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---POS Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---POS Preserved --Testing dt=0.0186 ---POS Violated after 5 steps t=0.093000 (-3.948439e-04) L2 error at time of violation: 0.0951972 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01851-0.01394 (0.00457) Potential Increase in error ---POS Preserved --Testing dt=0.01852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01852-0.01388 (0.00464) Potential Increase in error ---POS Preserved --Testing dt=0.01853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01853-0.01382 (0.00471) Potential Increase in error ---POS Preserved --Testing dt=0.01854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01854-0.01376 (0.00478) Potential Increase in error ---POS Preserved --Testing dt=0.01855 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01855-0.0137 (0.00485) Potential Increase in error ---POS Preserved --Testing dt=0.01856 ---POS Violated after 5 steps t=0.092800 (-6.059579e-05) L2 error at time of violation: 0.095264 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018551 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018551-0.013694 (0.004857) Potential Increase in error ---POS Preserved --Testing dt=0.018552 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018552-0.013688 (0.004864) Potential Increase in error ---POS Preserved --Testing dt=0.018553 ---POS Violated after 5 steps t=0.092765 (-2.764310e-06) L2 error at time of violation: 0.0952759 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018552 Theoretial Max dt=0.016480 results_pos = max_dt: 0.0186 s: 10 k: 4 p: [] dx: 0.0100 r: 1.6480 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s8k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 12 steps t=0.072000 (2.905380e-05) L2 error at time of violation: 0.0778224 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0058 ---TVD Violated after 12 steps t=0.069600 (7.371626e-06) L2 error at time of violation: 0.0796669 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00571 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00571-0.00509 (0.00062) Potential Increase in error ---TVD Preserved --Testing dt=0.00572 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00572-0.00488 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.00573 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00573-0.00467 (0.00106) Potential Increase in error ---TVD Preserved --Testing dt=0.00574 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00574-0.00446 (0.00128) Potential Increase in error ---TVD Preserved --Testing dt=0.00575 ---TVD Violated after 12 steps t=0.069000 (4.069187e-07) L2 error at time of violation: 0.0802161 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005741-0.004439 (0.001302) Potential Increase in error ---TVD Preserved --Testing dt=0.005742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005742-0.004418 (0.001324) Potential Increase in error ---TVD Preserved --Testing dt=0.005743 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005743-0.004397 (0.001346) Potential Increase in error ---TVD Preserved --Testing dt=0.005744 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005744-0.004376 (0.001368) Potential Increase in error ---TVD Preserved --Testing dt=0.005745 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005745-0.004355 (0.00139) Potential Increase in error ---TVD Preserved --Testing dt=0.005746 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005746-0.004334 (0.001412) Potential Increase in error ---TVD Preserved --Testing dt=0.005747 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005747-0.004313 (0.001434) Potential Increase in error ---TVD Preserved --Testing dt=0.005748 ---TVD Violated after 12 steps t=0.068976 (1.165547e-07) L2 error at time of violation: 0.0802389 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005747 Theoretial Max dt=0.016901 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s8k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 8 steps t=0.096000 (-2.813973e-02) L2 error at time of violation: 0.134474 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 ---POS Violated after 8 steps t=0.092000 (-3.324889e-03) L2 error at time of violation: 0.129456 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01141-0.0109 (0.00051) Potential Increase in error ---POS Preserved --Testing dt=0.01142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01142-0.0108 (0.00062) Potential Increase in error ---POS Preserved --Testing dt=0.01143 ---POS Violated after 8 steps t=0.091440 (-1.030593e-04) L2 error at time of violation: 0.129312 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011421-0.01079 (0.000631) Potential Increase in error ---POS Preserved --Testing dt=0.011422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011422-0.01078 (0.000642) Potential Increase in error ---POS Preserved --Testing dt=0.011423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011423-0.01077 (0.000653) Potential Increase in error ---POS Preserved --Testing dt=0.011424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011424-0.01076 (0.000664) Potential Increase in error ---POS Preserved --Testing dt=0.011425 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011425-0.01075 (0.000675) Potential Increase in error ---POS Preserved --Testing dt=0.011426 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011426-0.01074 (0.000686) Potential Increase in error ---POS Preserved --Testing dt=0.011427 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011427-0.01073 (0.000697) Potential Increase in error ---POS Preserved --Testing dt=0.011428 ---POS Violated after 8 steps t=0.091424 (-1.186313e-05) L2 error at time of violation: 0.129308 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011427 Theoretial Max dt=0.016901 results_pos = max_dt: 0.0114 s: 5 k: 8 p: [] dx: 0.0100 r: 1.6901 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 2 steps t=0.022000 (1.679760e-02) L2 error at time of violation: 0.0470014 TV Norm History: 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---TVD Violated after 11 steps t=0.111100 (9.919288e-03) L2 error at time of violation: 0.0139524 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01001-0.00488 (0.00513) Potential Increase in error ---TVD Preserved --Testing dt=0.01002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01002-0.00476 (0.00526) Potential Increase in error ---TVD Preserved --Testing dt=0.01003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01003-0.00464 (0.00539) Potential Increase in error ---TVD Preserved --Testing dt=0.01004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01004-0.00452 (0.00552) Potential Increase in error ---TVD Preserved --Testing dt=0.01005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01005-0.0044 (0.00565) Potential Increase in error ---TVD Preserved --Testing dt=0.01006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01006-0.00428 (0.00578) Potential Increase in error ---TVD Preserved --Testing dt=0.01007 ---TVD Violated after 11 steps t=0.110770 (1.968757e-04) L2 error at time of violation: 0.0135937 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010061-0.004268 (0.005793) Potential Increase in error ---TVD Preserved --Testing dt=0.010062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010062-0.004256 (0.005806) Potential Increase in error ---TVD Preserved --Testing dt=0.010063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010063-0.004244 (0.005819) Potential Increase in error ---TVD Preserved --Testing dt=0.010064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010064-0.004232 (0.005832) Potential Increase in error ---TVD Preserved --Testing dt=0.010065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010065-0.00422 (0.005845) Potential Increase in error ---TVD Preserved --Testing dt=0.010066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010066-0.004208 (0.005858) Potential Increase in error ---TVD Preserved --Testing dt=0.010067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010067-0.004196 (0.005871) Potential Increase in error ---TVD Preserved --Testing dt=0.010068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010068-0.004184 (0.005884) Potential Increase in error ---TVD Preserved --Testing dt=0.010069 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010069-0.004172 (0.005897) Potential Increase in error ---TVD Preserved --Testing dt=0.01007 ---TVD Violated after 11 steps t=0.110770 (1.968757e-04) L2 error at time of violation: 0.0135937 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010069 Theoretial Max dt=0.030559 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 ---POS Violated after 5 steps t=0.090000 (-1.095904e-02) L2 error at time of violation: 0.0647929 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0171-0.0053 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0172-0.0046 (0.0126) Potential Increase in error ---POS Preserved --Testing dt=0.0173 ---POS Violated after 5 steps t=0.086500 (-3.654362e-03) L2 error at time of violation: 0.0562308 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01721 ---POS Violated after 7 steps t=0.120470 (-1.606486e-03) L2 error at time of violation: 0.058687 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017201-0.004593 (0.012608) Potential Increase in error ---POS Preserved --Testing dt=0.017202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017202-0.004586 (0.012616) Potential Increase in error ---POS Preserved --Testing dt=0.017203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017203-0.004579 (0.012624) Potential Increase in error ---POS Preserved --Testing dt=0.017204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017204-0.004572 (0.012632) Potential Increase in error ---POS Preserved --Testing dt=0.017205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017205-0.004565 (0.01264) Potential Increase in error ---POS Preserved --Testing dt=0.017206 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017206-0.004558 (0.012648) Potential Increase in error ---POS Preserved --Testing dt=0.017207 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017207-0.004551 (0.012656) Potential Increase in error ---POS Preserved --Testing dt=0.017208 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017208-0.004544 (0.012664) Potential Increase in error ---POS Preserved --Testing dt=0.017209 ---POS Violated after 7 steps t=0.120463 (-5.660454e-05) L2 error at time of violation: 0.0581086 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017208 Theoretial Max dt=0.030559 results_pos = max_dt: 0.0172 s: 6 k: 2 p: [] dx: 0.0100 r: 3.0559 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s8k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 16 steps t=0.048000 (3.102216e-04) L2 error at time of violation: 0.0418835 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0025 ---TVD Preserved --Testing dt=0.0026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0026-0.0002 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0027 ---TVD Violated after 16 steps t=0.043200 (6.571375e-05) L2 error at time of violation: 0.0361091 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00261-0.00233 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00262 ---TVD Violated after 16 steps t=0.041920 (6.372623e-06) L2 error at time of violation: 0.0375339 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002611-0.002283 (0.000328) Potential Increase in error ---TVD Preserved --Testing dt=0.002612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002612-0.002236 (0.000376) Potential Increase in error ---TVD Preserved --Testing dt=0.002613 ---TVD Violated after 16 steps t=0.041808 (5.947481e-07) L2 error at time of violation: 0.0376999 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002612 Theoretial Max dt=0.007997 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s8k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Violated after 8 steps t=0.048000 (-4.532624e-02) L2 error at time of violation: 0.0803309 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0055 ---POS Violated after 8 steps t=0.044000 (-7.462170e-04) L2 error at time of violation: 0.072557 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00541 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00541-0.00057 (0.00484) Potential Increase in error ---POS Preserved --Testing dt=0.00542 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00542-0.00034 (0.00508) Potential Increase in error ---POS Preserved --Testing dt=0.00543 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00543-0.00011 (0.00532) Potential Increase in error ---POS Preserved --Testing dt=0.00544 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00544-0.00532 (0.00012) Potential Increase in error ---POS Preserved --Testing dt=0.00545 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00545-0.0051 (0.00035) Potential Increase in error ---POS Preserved --Testing dt=0.00546 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00546-0.00488 (0.00058) Potential Increase in error ---POS Preserved --Testing dt=0.00547 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00547-0.00466 (0.00081) Potential Increase in error ---POS Preserved --Testing dt=0.00548 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00548-0.00444 (0.00104) Potential Increase in error ---POS Preserved --Testing dt=0.00549 ---POS Violated after 8 steps t=0.043920 (-8.194774e-05) L2 error at time of violation: 0.0725571 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005481-0.004418 (0.001063) Potential Increase in error ---POS Preserved --Testing dt=0.005482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005482-0.004396 (0.001086) Potential Increase in error ---POS Preserved --Testing dt=0.005483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005483-0.004374 (0.001109) Potential Increase in error ---POS Preserved --Testing dt=0.005484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005484-0.004352 (0.001132) Potential Increase in error ---POS Preserved --Testing dt=0.005485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005485-0.00433 (0.001155) Potential Increase in error ---POS Preserved --Testing dt=0.005486 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005486-0.004308 (0.001178) Potential Increase in error ---POS Preserved --Testing dt=0.005487 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005487-0.004286 (0.001201) Potential Increase in error ---POS Preserved --Testing dt=0.005488 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005488-0.004264 (0.001224) Potential Increase in error ---POS Preserved --Testing dt=0.005489 ---POS Violated after 8 steps t=0.043912 (-1.610999e-05) L2 error at time of violation: 0.0725572 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005488 Theoretial Max dt=0.007997 results_pos = max_dt: 0.0055 s: 7 k: 8 p: [] dx: 0.0100 r: 0.7997 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 4 steps t=0.032000 (7.382524e-03) L2 error at time of violation: 0.0248542 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 ---TVD Violated after 14 steps t=0.099400 (6.698333e-04) L2 error at time of violation: 0.0193135 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00701-0.00583 (0.00118) Potential Increase in error ---TVD Preserved --Testing dt=0.00702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00702-0.00566 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00703-0.00549 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00704-0.00532 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00705-0.00515 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00706 ---TVD Violated after 15 steps t=0.105900 (5.858693e-05) L2 error at time of violation: 0.0198997 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007051-0.005133 (0.001918) Potential Increase in error ---TVD Preserved --Testing dt=0.007052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007052-0.005116 (0.001936) Potential Increase in error ---TVD Preserved --Testing dt=0.007053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007053-0.005099 (0.001954) Potential Increase in error ---TVD Preserved --Testing dt=0.007054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007054-0.005082 (0.001972) Potential Increase in error ---TVD Preserved --Testing dt=0.007055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007055-0.005065 (0.00199) Potential Increase in error ---TVD Preserved --Testing dt=0.007056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007056-0.005048 (0.002008) Potential Increase in error ---TVD Preserved --Testing dt=0.007057 ---TVD Violated after 15 steps t=0.105855 (1.369018e-05) L2 error at time of violation: 0.0200352 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007056 Theoretial Max dt=0.012720 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 7 steps t=0.091000 (-7.391812e-03) L2 error at time of violation: 0.0600279 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---POS Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---POS Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---POS Preserved --Testing dt=0.0125 ---POS Preserved --Testing dt=0.0126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0126-0.0116 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0127 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0127-0.0107 (0.002) Potential Increase in error ---POS Preserved --Testing dt=0.0128 ---POS Violated after 9 steps t=0.115200 (-5.650430e-03) L2 error at time of violation: 0.0750711 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01271-0.01061 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.01272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01272-0.01052 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.01273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01273-0.01043 (0.0023) Potential Increase in error ---POS Preserved --Testing dt=0.01274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01274-0.01034 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.01275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01275-0.01025 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.01276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01276-0.01016 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.01277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01277-0.01007 (0.0027) Potential Increase in error ---POS Preserved --Testing dt=0.01278 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01278-0.00998 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.01279 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01279-0.00989 (0.0029) Potential Increase in error ---POS Preserved --Testing dt=0.0128 ---POS Violated after 9 steps t=0.115200 (-5.650430e-03) L2 error at time of violation: 0.0750711 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012791-0.009881 (0.00291) Potential Increase in error ---POS Preserved --Testing dt=0.012792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012792-0.009872 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.012793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012793-0.009863 (0.00293) Potential Increase in error ---POS Preserved --Testing dt=0.012794 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012794-0.009854 (0.00294) Potential Increase in error ---POS Preserved --Testing dt=0.012795 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012795-0.009845 (0.00295) Potential Increase in error ---POS Preserved --Testing dt=0.012796 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012796-0.009836 (0.00296) Potential Increase in error ---POS Preserved --Testing dt=0.012797 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012797-0.009827 (0.00297) Potential Increase in error ---POS Preserved --Testing dt=0.012798 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012798-0.009818 (0.00298) Potential Increase in error ---POS Preserved --Testing dt=0.012799 ---POS Violated after 9 steps t=0.115191 (-3.830490e-03) L2 error at time of violation: 0.0750702 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012798 Theoretial Max dt=0.012720 results_pos = max_dt: 0.0128 s: 7 k: 2 p: [] dx: 0.0100 r: 1.2720 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 8 steps t=0.040000 (5.735178e-05) L2 error at time of violation: 0.023639 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 ---TVD Violated after 9 steps t=0.042300 (2.819088e-06) L2 error at time of violation: 0.0185493 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00461-0.00053 (0.00408) Potential Increase in error ---TVD Preserved --Testing dt=0.00462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00462-0.00026 (0.00436) Potential Increase in error ---TVD Preserved --Testing dt=0.00463 ---TVD Violated after 12 steps t=0.055560 (5.971224e-11) L2 error at time of violation: 0.0197344 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004621-0.000233 (0.004388) Potential Increase in error ---TVD Preserved --Testing dt=0.004622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004622-0.000206 (0.004416) Potential Increase in error ---TVD Preserved --Testing dt=0.004623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004623-0.000179 (0.004444) Potential Increase in error ---TVD Preserved --Testing dt=0.004624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004624-0.000152 (0.004472) Potential Increase in error ---TVD Preserved --Testing dt=0.004625 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004625-0.000125 (0.0045) Potential Increase in error ---TVD Preserved --Testing dt=0.004626 ---TVD Violated after 15 steps t=0.069390 (4.924949e-13) L2 error at time of violation: 0.0152161 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004625 Theoretial Max dt=0.013663 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 4 steps t=0.044000 (-7.681181e-03) L2 error at time of violation: 0.0529227 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---POS Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0107 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0107-0.0073 (0.0034) Potential Increase in error ---POS Preserved --Testing dt=0.0108 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0108-0.0062 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0109 ---POS Violated after 4 steps t=0.043600 (-2.466988e-03) L2 error at time of violation: 0.0527669 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01081-0.00609 (0.00472) Potential Increase in error ---POS Preserved --Testing dt=0.01082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01082-0.00598 (0.00484) Potential Increase in error ---POS Preserved --Testing dt=0.01083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01083-0.00587 (0.00496) Potential Increase in error ---POS Preserved --Testing dt=0.01084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01084-0.00576 (0.00508) Potential Increase in error ---POS Preserved --Testing dt=0.01085 ---POS Violated after 4 steps t=0.043400 (-1.016848e-04) L2 error at time of violation: 0.0526696 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010841 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010841-0.005749 (0.005092) Potential Increase in error ---POS Preserved --Testing dt=0.010842 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010842-0.005738 (0.005104) Potential Increase in error ---POS Preserved --Testing dt=0.010843 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010843-0.005727 (0.005116) Potential Increase in error ---POS Preserved --Testing dt=0.010844 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010844-0.005716 (0.005128) Potential Increase in error ---POS Preserved --Testing dt=0.010845 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010845-0.005705 (0.00514) Potential Increase in error ---POS Preserved --Testing dt=0.010846 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010846-0.005694 (0.005152) Potential Increase in error ---POS Preserved --Testing dt=0.010847 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010847-0.005683 (0.005164) Potential Increase in error ---POS Preserved --Testing dt=0.010848 ---POS Violated after 4 steps t=0.043392 (-1.028796e-05) L2 error at time of violation: 0.0526621 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010847 Theoretial Max dt=0.013663 results_pos = max_dt: 0.0108 s: 4 k: 3 p: [] dx: 0.0100 r: 1.3663 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 6 steps t=0.054000 (1.798905e-02) L2 error at time of violation: 0.094449 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 ---TVD Violated after 6 steps t=0.050400 (2.201219e-03) L2 error at time of violation: 0.088975 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00831 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00831-0.00035 (0.00796) Potential Increase in error ---TVD Preserved --Testing dt=0.00832 ---TVD Violated after 6 steps t=0.049920 (1.933461e-04) L2 error at time of violation: 0.0890033 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008311-0.000335 (0.007976) Potential Increase in error ---TVD Preserved --Testing dt=0.008312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008312-0.00032 (0.007992) Potential Increase in error ---TVD Preserved --Testing dt=0.008313 ---TVD Violated after 6 steps t=0.049878 (1.556379e-05) L2 error at time of violation: 0.0890059 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008312 Theoretial Max dt=0.025275 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 6 steps t=0.102000 (-4.071036e-03) L2 error at time of violation: 0.128533 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 ---POS Violated after 7 steps t=0.115500 (-5.567352e-04) L2 error at time of violation: 0.124968 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01641-0.01013 (0.00628) Potential Increase in error ---POS Preserved --Testing dt=0.01642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01642-0.01006 (0.00636) Potential Increase in error ---POS Preserved --Testing dt=0.01643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01643-0.00999 (0.00644) Potential Increase in error ---POS Preserved --Testing dt=0.01644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01644-0.00992 (0.00652) Potential Increase in error ---POS Preserved --Testing dt=0.01645 ---POS Violated after 7 steps t=0.115150 (-6.987283e-05) L2 error at time of violation: 0.124864 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016441-0.009913 (0.006528) Potential Increase in error ---POS Preserved --Testing dt=0.016442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016442-0.009906 (0.006536) Potential Increase in error ---POS Preserved --Testing dt=0.016443 ---POS Violated after 7 steps t=0.115101 (-2.022845e-06) L2 error at time of violation: 0.124849 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016442 Theoretial Max dt=0.025275 results_pos = max_dt: 0.0164 s: 12 k: 6 p: [] dx: 0.0100 r: 2.5275 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 16 steps t=0.112000 (1.293174e-03) L2 error at time of violation: 0.0225971 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0068-0.0026 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0069 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0069-0.0008 (0.0061) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 16 steps t=0.112000 (1.293174e-03) L2 error at time of violation: 0.0225971 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00691-0.00062 (0.00629) Potential Increase in error ---TVD Preserved --Testing dt=0.00692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00692-0.00044 (0.00648) Potential Increase in error ---TVD Preserved --Testing dt=0.00693 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00693-0.00026 (0.00667) Potential Increase in error ---TVD Preserved --Testing dt=0.00694 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00694-8e-05 (0.00686) Potential Increase in error ---TVD Preserved --Testing dt=0.00695 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00695-0.00685 (0.0001) Potential Increase in error ---TVD Preserved --Testing dt=0.00696 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00696-0.00668 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00697 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00697-0.00651 (0.00046) Potential Increase in error ---TVD Preserved --Testing dt=0.00698 ---TVD Violated after 17 steps t=0.118660 (2.608359e-03) L2 error at time of violation: 0.0228092 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006971 ---TVD Violated after 17 steps t=0.118507 (5.693956e-05) L2 error at time of violation: 0.023178 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006970 Theoretial Max dt=0.025453 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 7 steps t=0.105000 (-1.403336e-02) L2 error at time of violation: 0.0807494 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.0148 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0148-0.0066 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0149 ---POS Violated after 7 steps t=0.104300 (-5.372095e-03) L2 error at time of violation: 0.0800871 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01481-0.00652 (0.00829) Potential Increase in error ---POS Preserved --Testing dt=0.01482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01482-0.00644 (0.00838) Potential Increase in error ---POS Preserved --Testing dt=0.01483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01483-0.00636 (0.00847) Potential Increase in error ---POS Preserved --Testing dt=0.01484 ---POS Violated after 7 steps t=0.103880 (-1.323090e-04) L2 error at time of violation: 0.0796941 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014831 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014831-0.006352 (0.008479) Potential Increase in error ---POS Preserved --Testing dt=0.014832 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014832-0.006344 (0.008488) Potential Increase in error ---POS Preserved --Testing dt=0.014833 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014833-0.006336 (0.008497) Potential Increase in error ---POS Preserved --Testing dt=0.014834 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014834-0.006328 (0.008506) Potential Increase in error ---POS Preserved --Testing dt=0.014835 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014835-0.00632 (0.008515) Potential Increase in error ---POS Preserved --Testing dt=0.014836 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014836-0.006312 (0.008524) Potential Increase in error ---POS Preserved --Testing dt=0.014837 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014837-0.006304 (0.008533) Potential Increase in error ---POS Preserved --Testing dt=0.014838 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014838-0.006296 (0.008542) Potential Increase in error ---POS Preserved --Testing dt=0.014839 ---POS Violated after 7 steps t=0.103873 (-4.442010e-05) L2 error at time of violation: 0.0796876 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014838 Theoretial Max dt=0.025453 results_pos = max_dt: 0.0148 s: 5 k: 4 p: [] dx: 0.0100 r: 2.5453 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 5 steps t=0.055000 (7.621687e-03) L2 error at time of violation: 0.096087 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---TVD Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0107 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0107-0.0073 (0.0034) Potential Increase in error ---TVD Preserved --Testing dt=0.0108 ---TVD Violated after 5 steps t=0.054000 (1.816453e-03) L2 error at time of violation: 0.0961194 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01071-0.00719 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.01072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01072-0.00708 (0.00364) Potential Increase in error ---TVD Preserved --Testing dt=0.01073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01073-0.00697 (0.00376) Potential Increase in error ---TVD Preserved --Testing dt=0.01074 ---TVD Violated after 5 steps t=0.053700 (3.610334e-05) L2 error at time of violation: 0.0961297 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010731 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010731-0.006959 (0.003772) Potential Increase in error ---TVD Preserved --Testing dt=0.010732 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010732-0.006948 (0.003784) Potential Increase in error ---TVD Preserved --Testing dt=0.010733 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010733-0.006937 (0.003796) Potential Increase in error ---TVD Preserved --Testing dt=0.010734 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010734-0.006926 (0.003808) Potential Increase in error ---TVD Preserved --Testing dt=0.010735 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010735-0.006915 (0.00382) Potential Increase in error ---TVD Preserved --Testing dt=0.010736 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010736-0.006904 (0.003832) Potential Increase in error ---TVD Preserved --Testing dt=0.010737 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010737-0.006893 (0.003844) Potential Increase in error ---TVD Preserved --Testing dt=0.010738 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010738-0.006882 (0.003856) Potential Increase in error ---TVD Preserved --Testing dt=0.010739 ---TVD Violated after 5 steps t=0.053695 (6.278148e-06) L2 error at time of violation: 0.0961299 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010738 Theoretial Max dt=0.031530 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 5 steps t=0.100000 (-6.493441e-04) L2 error at time of violation: 0.130711 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 5 steps t=0.100000 (-6.493441e-04) L2 error at time of violation: 0.126787 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01991-0.00554 (0.01437) Potential Increase in error ---POS Preserved --Testing dt=0.01992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01992-0.00548 (0.01444) Potential Increase in error ---POS Preserved --Testing dt=0.01993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01993-0.00542 (0.01451) Potential Increase in error ---POS Preserved --Testing dt=0.01994 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01994-0.00536 (0.01458) Potential Increase in error ---POS Preserved --Testing dt=0.01995 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01995-0.0053 (0.01465) Potential Increase in error ---POS Preserved --Testing dt=0.01996 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01996-0.00524 (0.01472) Potential Increase in error ---POS Preserved --Testing dt=0.01997 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01997-0.00518 (0.01479) Potential Increase in error ---POS Preserved --Testing dt=0.01998 ---POS Violated after 5 steps t=0.099900 (-5.560512e-06) L2 error at time of violation: 0.126805 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019971-0.005174 (0.014797) Potential Increase in error ---POS Preserved --Testing dt=0.019972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019972-0.005168 (0.014804) Potential Increase in error ---POS Preserved --Testing dt=0.019973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019973-0.005162 (0.014811) Potential Increase in error ---POS Preserved --Testing dt=0.019974 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019974-0.005156 (0.014818) Potential Increase in error ---POS Preserved --Testing dt=0.019975 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019975-0.00515 (0.014825) Potential Increase in error ---POS Preserved --Testing dt=0.019976 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019976-0.005144 (0.014832) Potential Increase in error ---POS Preserved --Testing dt=0.019977 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019977-0.005138 (0.014839) Potential Increase in error ---POS Preserved --Testing dt=0.019978 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019978-0.005132 (0.014846) Potential Increase in error ---POS Preserved --Testing dt=0.019979 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019979-0.005126 (0.014853) Potential Increase in error ---POS Preserved --Testing dt=0.01998 ---POS Violated after 5 steps t=0.099900 (-5.560512e-06) L2 error at time of violation: 0.126805 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019979 Theoretial Max dt=0.031530 results_pos = max_dt: 0.0200 s: 9 k: 5 p: [] dx: 0.0100 r: 3.1530 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k7pT3.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 8 steps t=0.056000 (1.308490e-05) L2 error at time of violation: 0.0451527 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 ---TVD Violated after 14 steps t=0.093800 (4.183320e-13) L2 error at time of violation: 0.019389 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00661-0.00602 (0.00059) Potential Increase in error ---TVD Preserved --Testing dt=0.00662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00662-0.00584 (0.00078) Potential Increase in error ---TVD Preserved --Testing dt=0.00663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00663-0.00566 (0.00097) Potential Increase in error ---TVD Preserved --Testing dt=0.00664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00664-0.00548 (0.00116) Potential Increase in error ---TVD Preserved --Testing dt=0.00665 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00665-0.0053 (0.00135) Potential Increase in error ---TVD Preserved --Testing dt=0.00666 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00666-0.00512 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00667 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00667-0.00494 (0.00173) Potential Increase in error ---TVD Preserved --Testing dt=0.00668 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00668-0.00476 (0.00192) Potential Increase in error ---TVD Preserved --Testing dt=0.00669 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00669-0.00458 (0.00211) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 ---TVD Violated after 14 steps t=0.093800 (4.189982e-13) L2 error at time of violation: 0.019389 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006691-0.004562 (0.002129) Potential Increase in error ---TVD Preserved --Testing dt=0.006692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006692-0.004544 (0.002148) Potential Increase in error ---TVD Preserved --Testing dt=0.006693 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006693-0.004526 (0.002167) Potential Increase in error ---TVD Preserved --Testing dt=0.006694 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006694-0.004508 (0.002186) Potential Increase in error ---TVD Preserved --Testing dt=0.006695 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006695-0.00449 (0.002205) Potential Increase in error ---TVD Preserved --Testing dt=0.006696 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006696-0.004472 (0.002224) Potential Increase in error ---TVD Preserved --Testing dt=0.006697 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006697-0.004454 (0.002243) Potential Increase in error ---TVD Preserved --Testing dt=0.006698 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006698-0.004436 (0.002262) Potential Increase in error ---TVD Preserved --Testing dt=0.006699 ---TVD Violated after 14 steps t=0.093786 (2.564615e-13) L2 error at time of violation: 0.0193901 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006698 Theoretial Max dt=0.019994 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k7pT3.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 4 steps t=0.060000 (-1.969173e-02) L2 error at time of violation: 0.0978241 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 ---POS Violated after 4 steps t=0.056800 (-2.026290e-03) L2 error at time of violation: 0.0916719 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01411-0.01212 (0.00199) Potential Increase in error ---POS Preserved --Testing dt=0.01412 ---POS Violated after 4 steps t=0.056480 (-1.093134e-04) L2 error at time of violation: 0.0915865 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014111-0.012112 (0.001999) Potential Increase in error ---POS Preserved --Testing dt=0.014112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014112-0.012104 (0.002008) Potential Increase in error ---POS Preserved --Testing dt=0.014113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014113-0.012096 (0.002017) Potential Increase in error ---POS Preserved --Testing dt=0.014114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014114-0.012088 (0.002026) Potential Increase in error ---POS Preserved --Testing dt=0.014115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014115-0.01208 (0.002035) Potential Increase in error ---POS Preserved --Testing dt=0.014116 ---POS Violated after 4 steps t=0.056464 (-1.468470e-05) L2 error at time of violation: 0.0915823 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014115 Theoretial Max dt=0.019994 results_pos = max_dt: 0.0141 s: 7 k: 4 p: [] dx: 0.0100 r: 1.9994 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 10 steps t=0.070000 (1.757812e-06) L2 error at time of violation: 0.0536797 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 ---TVD Violated after 10 steps t=0.068000 (9.337002e-10) L2 error at time of violation: 0.054337 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00671-0.00422 (0.00249) Potential Increase in error ---TVD Preserved --Testing dt=0.00672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00672-0.00404 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00673 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00673-0.00386 (0.00287) Potential Increase in error ---TVD Preserved --Testing dt=0.00674 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00674-0.00368 (0.00306) Potential Increase in error ---TVD Preserved --Testing dt=0.00675 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00675-0.0035 (0.00325) Potential Increase in error ---TVD Preserved --Testing dt=0.00676 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00676-0.00332 (0.00344) Potential Increase in error ---TVD Preserved --Testing dt=0.00677 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00677-0.00314 (0.00363) Potential Increase in error ---TVD Preserved --Testing dt=0.00678 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00678-0.00296 (0.00382) Potential Increase in error ---TVD Preserved --Testing dt=0.00679 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00679-0.00278 (0.00401) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 ---TVD Violated after 10 steps t=0.068000 (9.336996e-10) L2 error at time of violation: 0.054337 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006791-0.002762 (0.004029) Potential Increase in error ---TVD Preserved --Testing dt=0.006792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006792-0.002744 (0.004048) Potential Increase in error ---TVD Preserved --Testing dt=0.006793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006793-0.002726 (0.004067) Potential Increase in error ---TVD Preserved --Testing dt=0.006794 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006794-0.002708 (0.004086) Potential Increase in error ---TVD Preserved --Testing dt=0.006795 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006795-0.00269 (0.004105) Potential Increase in error ---TVD Preserved --Testing dt=0.006796 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006796-0.002672 (0.004124) Potential Increase in error ---TVD Preserved --Testing dt=0.006797 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006797-0.002654 (0.004143) Potential Increase in error ---TVD Preserved --Testing dt=0.006798 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006798-0.002636 (0.004162) Potential Increase in error ---TVD Preserved --Testing dt=0.006799 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006799-0.002618 (0.004181) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 ---TVD Violated after 10 steps t=0.068000 (9.337002e-10) L2 error at time of violation: 0.054337 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006799 Theoretial Max dt=0.020464 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 6 steps t=0.084000 (-1.007349e-03) L2 error at time of violation: 0.0991305 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0137-0.0017 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0138-0.0008 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0139 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0139-0.0138 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 6 steps t=0.084000 (-1.007349e-03) L2 error at time of violation: 0.0991305 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01391-0.01372 (0.00019) Potential Increase in error ---POS Preserved --Testing dt=0.01392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01392-0.01364 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.01393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01393-0.01356 (0.00037) Potential Increase in error ---POS Preserved --Testing dt=0.01394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01394-0.01348 (0.00046) Potential Increase in error ---POS Preserved --Testing dt=0.01395 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01395-0.0134 (0.00055) Potential Increase in error ---POS Preserved --Testing dt=0.01396 ---POS Violated after 6 steps t=0.083760 (-1.973929e-04) L2 error at time of violation: 0.0992216 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013951 ---POS Violated after 6 steps t=0.083706 (-1.825972e-05) L2 error at time of violation: 0.0992427 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013950 Theoretial Max dt=0.020464 results_pos = max_dt: 0.0139 s: 7 k: 5 p: [] dx: 0.0100 r: 2.0464 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 6 steps t=0.048000 (1.187280e-04) L2 error at time of violation: 0.0371084 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 ---TVD Violated after 15 steps t=0.106500 (2.541241e-04) L2 error at time of violation: 0.0193964 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00701-0.00583 (0.00118) Potential Increase in error ---TVD Preserved --Testing dt=0.00702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00702-0.00566 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00703-0.00549 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00704-0.00532 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00705-0.00515 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00706 ---TVD Violated after 16 steps t=0.112960 (1.227042e-05) L2 error at time of violation: 0.0172217 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007051-0.005133 (0.001918) Potential Increase in error ---TVD Preserved --Testing dt=0.007052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007052-0.005116 (0.001936) Potential Increase in error ---TVD Preserved --Testing dt=0.007053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007053-0.005099 (0.001954) Potential Increase in error ---TVD Preserved --Testing dt=0.007054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007054-0.005082 (0.001972) Potential Increase in error ---TVD Preserved --Testing dt=0.007055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007055-0.005065 (0.00199) Potential Increase in error ---TVD Preserved --Testing dt=0.007056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007056-0.005048 (0.002008) Potential Increase in error ---TVD Preserved --Testing dt=0.007057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007057-0.005031 (0.002026) Potential Increase in error ---TVD Preserved --Testing dt=0.007058 ---TVD Violated after 16 steps t=0.112928 (3.295546e-06) L2 error at time of violation: 0.0173154 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007057 Theoretial Max dt=0.019381 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 3 steps t=0.042000 (-9.136073e-03) L2 error at time of violation: 0.0730732 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 ---POS Violated after 3 steps t=0.040800 (-1.220927e-03) L2 error at time of violation: 0.0726799 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01351-0.00341 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.01352 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01352-0.00332 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.01353 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01353-0.00323 (0.0103) Potential Increase in error ---POS Preserved --Testing dt=0.01354 ---POS Violated after 3 steps t=0.040620 (-9.598887e-05) L2 error at time of violation: 0.0726408 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013531-0.003221 (0.01031) Potential Increase in error ---POS Preserved --Testing dt=0.013532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013532-0.003212 (0.01032) Potential Increase in error ---POS Preserved --Testing dt=0.013533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013533-0.003203 (0.01033) Potential Increase in error ---POS Preserved --Testing dt=0.013534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013534-0.003194 (0.01034) Potential Increase in error ---POS Preserved --Testing dt=0.013535 ---POS Violated after 3 steps t=0.040605 (-2.933008e-06) L2 error at time of violation: 0.0726377 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013534 Theoretial Max dt=0.019381 results_pos = max_dt: 0.0135 s: 6 k: 3 p: [] dx: 0.0100 r: 1.9381 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 8 steps t=0.016000 (8.536969e-02) L2 error at time of violation: 0.0342914 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 ---TVD Violated after 21 steps t=0.023100 (4.645249e-04) L2 error at time of violation: 0.0181566 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00101 ---TVD Violated after 37 steps t=0.037370 (1.338351e-06) L2 error at time of violation: 0.0139396 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001001 ---TVD Violated after 47 steps t=0.047047 (2.134149e-07) L2 error at time of violation: 0.0214879 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001000 Theoretial Max dt=0.001226 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 ---POS Violated after 5 steps t=0.020000 (-5.115065e-02) L2 error at time of violation: 0.0369644 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0035 ---POS Violated after 31 steps t=0.108500 (-1.776906e-02) L2 error at time of violation: 0.0485006 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00341 ---POS Violated after 36 steps t=0.122760 (-8.766814e-03) L2 error at time of violation: 0.0425252 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003401-0.002564 (0.000837) Potential Increase in error ---POS Preserved --Testing dt=0.003402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003402-0.002528 (0.000874) Potential Increase in error ---POS Preserved --Testing dt=0.003403 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003403-0.002492 (0.000911) Potential Increase in error ---POS Preserved --Testing dt=0.003404 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003404-0.002456 (0.000948) Potential Increase in error ---POS Preserved --Testing dt=0.003405 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003405-0.00242 (0.000985) Potential Increase in error ---POS Preserved --Testing dt=0.003406 ---POS Violated after 36 steps t=0.122616 (-2.937430e-03) L2 error at time of violation: 0.0422003 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003405 Theoretial Max dt=0.001226 results_pos = max_dt: 0.0034 s: 8 k: 5 p: [] dx: 0.0100 r: 0.1226 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 9 steps t=0.036000 (3.882648e-04) L2 error at time of violation: 0.0280761 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0036 ---TVD Violated after 17 steps t=0.061200 (1.479479e-08) L2 error at time of violation: 0.0228186 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00351-0.00215 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00352 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00352-0.0018 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00353 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00353-0.00145 (0.00208) Potential Increase in error ---TVD Preserved --Testing dt=0.00354 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00354-0.0011 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00355 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00355-0.00075 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.00356 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00356-0.0004 (0.00316) Potential Increase in error ---TVD Preserved --Testing dt=0.00357 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00357-5e-05 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.00358 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00358-0.00328 (0.0003) Potential Increase in error ---TVD Preserved --Testing dt=0.00359 ---TVD Violated after 17 steps t=0.061030 (4.691390e-09) L2 error at time of violation: 0.0200909 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003581-0.003246 (0.000335) Potential Increase in error ---TVD Preserved --Testing dt=0.003582 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003582-0.003212 (0.00037) Potential Increase in error ---TVD Preserved --Testing dt=0.003583 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003583-0.003178 (0.000405) Potential Increase in error ---TVD Preserved --Testing dt=0.003584 ---TVD Violated after 21 steps t=0.075264 (1.769629e-11) L2 error at time of violation: 0.0172347 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003583 Theoretial Max dt=0.009712 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 4 steps t=0.032000 (-6.913531e-03) L2 error at time of violation: 0.0599993 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.0077 ---POS Violated after 5 steps t=0.038500 (-2.472476e-03) L2 error at time of violation: 0.0528676 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00761-0.00324 (0.00437) Potential Increase in error ---POS Preserved --Testing dt=0.00762 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00762-0.00308 (0.00454) Potential Increase in error ---POS Preserved --Testing dt=0.00763 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00763-0.00292 (0.00471) Potential Increase in error ---POS Preserved --Testing dt=0.00764 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00764-0.00276 (0.00488) Potential Increase in error ---POS Preserved --Testing dt=0.00765 ---POS Violated after 5 steps t=0.038250 (-2.867741e-04) L2 error at time of violation: 0.0530849 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007641-0.002744 (0.004897) Potential Increase in error ---POS Preserved --Testing dt=0.007642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007642-0.002728 (0.004914) Potential Increase in error ---POS Preserved --Testing dt=0.007643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007643-0.002712 (0.004931) Potential Increase in error ---POS Preserved --Testing dt=0.007644 ---POS Violated after 5 steps t=0.038220 (-3.129968e-05) L2 error at time of violation: 0.0531116 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007643 Theoretial Max dt=0.009712 results_pos = max_dt: 0.0076 s: 4 k: 4 p: [] dx: 0.0100 r: 0.9712 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 6 steps t=0.036000 (1.679965e-02) L2 error at time of violation: 0.06476 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 ---TVD Violated after 7 steps t=0.035700 (8.477420e-03) L2 error at time of violation: 0.0586542 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00501 ---TVD Violated after 7 steps t=0.035070 (2.243067e-04) L2 error at time of violation: 0.0585826 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005001-0.004976 (2.5e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.005002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005002-0.004952 (5e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.005003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005003-0.004928 (7.5e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.005004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005004-0.004904 (0.0001) Potential Increase in error ---TVD Preserved --Testing dt=0.005005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005005-0.00488 (0.000125) Potential Increase in error ---TVD Preserved --Testing dt=0.005006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005006-0.004856 (0.00015) Potential Increase in error ---TVD Preserved --Testing dt=0.005007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005007-0.004832 (0.000175) Potential Increase in error ---TVD Preserved --Testing dt=0.005008 ---TVD Violated after 7 steps t=0.035056 (3.380545e-05) L2 error at time of violation: 0.0585812 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005007 Theoretial Max dt=0.015627 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 5 steps t=0.055000 (-1.355526e-02) L2 error at time of violation: 0.0956442 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---POS Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.0105 ---POS Violated after 8 steps t=0.084000 (-9.915602e-03) L2 error at time of violation: 0.0897321 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01041-8e-05 (0.01033) Potential Increase in error ---POS Preserved --Testing dt=0.01042 ---POS Violated after 8 steps t=0.083360 (-1.177620e-03) L2 error at time of violation: 0.0888566 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010411 ---POS Violated after 8 steps t=0.083288 (-1.145350e-04) L2 error at time of violation: 0.0887481 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010410 Theoretial Max dt=0.015627 results_pos = max_dt: 0.0104 s: 4 k: 5 p: [] dx: 0.0100 r: 1.5627 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 ---TVD Violated after 6 steps t=0.108000 (3.201817e-02) L2 error at time of violation: 0.0859767 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0171-0.0053 (0.0118) Potential Increase in error ---TVD Preserved --Testing dt=0.0172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0172-0.0046 (0.0126) Potential Increase in error ---TVD Preserved --Testing dt=0.0173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0173-0.0039 (0.0134) Potential Increase in error ---TVD Preserved --Testing dt=0.0174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0174-0.0032 (0.0142) Potential Increase in error ---TVD Preserved --Testing dt=0.0175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0175-0.0025 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.0176 ---TVD Violated after 6 steps t=0.105600 (2.411008e-03) L2 error at time of violation: 0.0815515 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01751-0.00243 (0.01508) Potential Increase in error ---TVD Preserved --Testing dt=0.01752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01752-0.00236 (0.01516) Potential Increase in error ---TVD Preserved --Testing dt=0.01753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01753-0.00229 (0.01524) Potential Increase in error ---TVD Preserved --Testing dt=0.01754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01754-0.00222 (0.01532) Potential Increase in error ---TVD Preserved --Testing dt=0.01755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01755-0.00215 (0.0154) Potential Increase in error ---TVD Preserved --Testing dt=0.01756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01756-0.00208 (0.01548) Potential Increase in error ---TVD Preserved --Testing dt=0.01757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01757-0.00201 (0.01556) Potential Increase in error ---TVD Preserved --Testing dt=0.01758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01758-0.00194 (0.01564) Potential Increase in error ---TVD Preserved --Testing dt=0.01759 ---TVD Violated after 6 steps t=0.105540 (1.203158e-03) L2 error at time of violation: 0.0815867 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017581 ---TVD Violated after 6 steps t=0.105486 (9.700825e-05) L2 error at time of violation: 0.0816188 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017580 Theoretial Max dt=0.052984 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---POS Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.04 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.04-0.005 (0.035) Potential Increase in error ---POS Preserved --Testing dt=0.041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.041-0.002 (0.039) Potential Increase in error ---POS Preserved --Testing dt=0.042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.042-0.041 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.043 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.172000 (-1.302494e-01) L2 error at time of violation: 0.195966 Refining dt search increment 0.001->0.0001 --Testing dt=0.0421 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.168400 (-1.179894e-01) L2 error at time of violation: 0.193221 Refining dt search increment 0.0001->1e-05 --Testing dt=0.04201 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.168040 (-1.187674e-01) L2 error at time of violation: 0.192732 Refining dt search increment 1e-05->1e-06 --Testing dt=0.042001 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.168004 (-1.188384e-01) L2 error at time of violation: 0.192691 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.042000 Theoretial Max dt=0.052984 results_pos = max_dt: 0.0420 s: 9 k: 4 p: [] dx: 0.0100 r: 5.2984 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 10 steps t=0.030000 (1.264251e-03) L2 error at time of violation: 0.0287854 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 ---TVD Violated after 20 steps t=0.046000 (2.698714e-07) L2 error at time of violation: 0.0203735 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00221-0.00124 (0.00097) Potential Increase in error ---TVD Preserved --Testing dt=0.00222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00222-0.00068 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00223-0.00012 (0.00211) Potential Increase in error ---TVD Preserved --Testing dt=0.00224 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00224-0.0018 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00225 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00225-0.00125 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00226 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00226-0.0007 (0.00156) Potential Increase in error ---TVD Preserved --Testing dt=0.00227 ---TVD Violated after 35 steps t=0.079450 (9.829138e-12) L2 error at time of violation: 0.01832 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002261-0.000645 (0.001616) Potential Increase in error ---TVD Preserved --Testing dt=0.002262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002262-0.00059 (0.001672) Potential Increase in error ---TVD Preserved --Testing dt=0.002263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002263-0.000535 (0.001728) Potential Increase in error ---TVD Preserved --Testing dt=0.002264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002264-0.00048 (0.001784) Potential Increase in error ---TVD Preserved --Testing dt=0.002265 ---TVD Violated after 40 steps t=0.090600 (2.288170e-13) L2 error at time of violation: 0.0203716 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002264 Theoretial Max dt=0.006567 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 5 steps t=0.025000 (-3.381079e-02) L2 error at time of violation: 0.0572276 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0047 ---POS Violated after 5 steps t=0.023500 (-7.392030e-04) L2 error at time of violation: 0.0558714 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00461-0.00053 (0.00408) Potential Increase in error ---POS Preserved --Testing dt=0.00462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00462-0.00026 (0.00436) Potential Increase in error ---POS Preserved --Testing dt=0.00463 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00463-0.00462 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.00464 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00464-0.00436 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.00465 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00465-0.0041 (0.00055) Potential Increase in error ---POS Preserved --Testing dt=0.00466 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00466-0.00384 (0.00082) Potential Increase in error ---POS Preserved --Testing dt=0.00467 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00467-0.00358 (0.00109) Potential Increase in error ---POS Preserved --Testing dt=0.00468 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00468-0.00332 (0.00136) Potential Increase in error ---POS Preserved --Testing dt=0.00469 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00469-0.00306 (0.00163) Potential Increase in error ---POS Preserved --Testing dt=0.0047 ---POS Violated after 5 steps t=0.023500 (-7.392030e-04) L2 error at time of violation: 0.0558714 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004691-0.003034 (0.001657) Potential Increase in error ---POS Preserved --Testing dt=0.004692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004692-0.003008 (0.001684) Potential Increase in error ---POS Preserved --Testing dt=0.004693 ---POS Violated after 5 steps t=0.023465 (-1.059232e-05) L2 error at time of violation: 0.0558419 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004692 Theoretial Max dt=0.006567 results_pos = max_dt: 0.0047 s: 3 k: 5 p: [] dx: 0.0100 r: 0.6567 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 ---TVD Violated after 2 steps t=0.036000 (2.821397e-04) L2 error at time of violation: 0.053737 TV Norm History: 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 ---TVD Violated after 7 steps t=0.119700 (1.321748e-03) L2 error at time of violation: 0.0255897 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01701-0.00593 (0.01108) Potential Increase in error ---TVD Preserved --Testing dt=0.01702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01702-0.00586 (0.01116) Potential Increase in error ---TVD Preserved --Testing dt=0.01703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01703-0.00579 (0.01124) Potential Increase in error ---TVD Preserved --Testing dt=0.01704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01704-0.00572 (0.01132) Potential Increase in error ---TVD Preserved --Testing dt=0.01705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01705-0.00565 (0.0114) Potential Increase in error ---TVD Preserved --Testing dt=0.01706 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01706-0.00558 (0.01148) Potential Increase in error ---TVD Preserved --Testing dt=0.01707 ---TVD Violated after 7 steps t=0.119490 (3.115053e-04) L2 error at time of violation: 0.0254295 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017061-0.005573 (0.011488) Potential Increase in error ---TVD Preserved --Testing dt=0.017062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017062-0.005566 (0.011496) Potential Increase in error ---TVD Preserved --Testing dt=0.017063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017063-0.005559 (0.011504) Potential Increase in error ---TVD Preserved --Testing dt=0.017064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017064-0.005552 (0.011512) Potential Increase in error ---TVD Preserved --Testing dt=0.017065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017065-0.005545 (0.01152) Potential Increase in error ---TVD Preserved --Testing dt=0.017066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017066-0.005538 (0.011528) Potential Increase in error ---TVD Preserved --Testing dt=0.017067 ---TVD Violated after 7 steps t=0.119469 (3.404777e-05) L2 error at time of violation: 0.0254132 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017066 Theoretial Max dt=0.061039 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---POS Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.04 ---POS Violated after 3 steps t=0.120000 (-5.613943e-02) L2 error at time of violation: 0.11597 Refining dt search increment 0.001->0.0001 --Testing dt=0.0391 ---POS Violated after 3 steps t=0.117300 (-1.421950e-02) L2 error at time of violation: 0.104027 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03901-0.00797 (0.03104) Potential Increase in error ---POS Preserved --Testing dt=0.03902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03902-0.00794 (0.03108) Potential Increase in error ---POS Preserved --Testing dt=0.03903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03903-0.00791 (0.03112) Potential Increase in error ---POS Preserved --Testing dt=0.03904 ---POS Violated after 3 steps t=0.117120 (-5.707828e-02) L2 error at time of violation: 0.102795 Refining dt search increment 1e-05->1e-06 --Testing dt=0.039031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039031-0.007907 (0.031124) Potential Increase in error ---POS Preserved --Testing dt=0.039032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039032-0.007904 (0.031128) Potential Increase in error ---POS Preserved --Testing dt=0.039033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039033-0.007901 (0.031132) Potential Increase in error ---POS Preserved --Testing dt=0.039034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039034-0.007898 (0.031136) Potential Increase in error ---POS Preserved --Testing dt=0.039035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039035-0.007895 (0.03114) Potential Increase in error ---POS Preserved --Testing dt=0.039036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039036-0.007892 (0.031144) Potential Increase in error ---POS Preserved --Testing dt=0.039037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039037-0.007889 (0.031148) Potential Increase in error ---POS Preserved --Testing dt=0.039038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039038-0.007886 (0.031152) Potential Increase in error ---POS Preserved --Testing dt=0.039039 ---POS Violated after 3 steps t=0.117117 (-1.318235e-02) L2 error at time of violation: 0.102682 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.039038 Theoretial Max dt=0.061039 results_pos = max_dt: 0.0390 s: 10 k: 2 p: [] dx: 0.0100 r: 6.1039 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 4 steps t=0.068000 (7.411147e-03) L2 error at time of violation: 0.0691353 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0167 ---TVD Violated after 6 steps t=0.100200 (6.444940e-03) L2 error at time of violation: 0.0501937 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01661-0.00873 (0.00788) Potential Increase in error ---TVD Preserved --Testing dt=0.01662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01662-0.00866 (0.00796) Potential Increase in error ---TVD Preserved --Testing dt=0.01663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01663-0.00859 (0.00804) Potential Increase in error ---TVD Preserved --Testing dt=0.01664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01664-0.00852 (0.00812) Potential Increase in error ---TVD Preserved --Testing dt=0.01665 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01665-0.00845 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.01666 ---TVD Violated after 6 steps t=0.099960 (2.165479e-04) L2 error at time of violation: 0.0394208 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016651-0.008443 (0.008208) Potential Increase in error ---TVD Preserved --Testing dt=0.016652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016652-0.008436 (0.008216) Potential Increase in error ---TVD Preserved --Testing dt=0.016653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016653-0.008429 (0.008224) Potential Increase in error ---TVD Preserved --Testing dt=0.016654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016654-0.008422 (0.008232) Potential Increase in error ---TVD Preserved --Testing dt=0.016655 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016655-0.008415 (0.00824) Potential Increase in error ---TVD Preserved --Testing dt=0.016656 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016656-0.008408 (0.008248) Potential Increase in error ---TVD Preserved --Testing dt=0.016657 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016657-0.008401 (0.008256) Potential Increase in error ---TVD Preserved --Testing dt=0.016658 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016658-0.008394 (0.008264) Potential Increase in error ---TVD Preserved --Testing dt=0.016659 ---TVD Violated after 6 steps t=0.099954 (4.446034e-05) L2 error at time of violation: 0.0394307 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016658 Theoretial Max dt=0.045000 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 ---POS Violated after 4 steps t=0.108000 (-1.062209e-02) L2 error at time of violation: 0.103862 Refining dt search increment 0.001->0.0001 --Testing dt=0.0261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0261-0.0206 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0262 ---POS Violated after 4 steps t=0.104800 (-2.034014e-04) L2 error at time of violation: 0.0969619 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02611-0.02056 (0.00555) Potential Increase in error ---POS Preserved --Testing dt=0.02612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02612-0.02052 (0.0056) Potential Increase in error ---POS Preserved --Testing dt=0.02613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02613-0.02048 (0.00565) Potential Increase in error ---POS Preserved --Testing dt=0.02614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02614-0.02044 (0.0057) Potential Increase in error ---POS Preserved --Testing dt=0.02615 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02615-0.0204 (0.00575) Potential Increase in error ---POS Preserved --Testing dt=0.02616 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02616-0.02036 (0.0058) Potential Increase in error ---POS Preserved --Testing dt=0.02617 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02617-0.02032 (0.00585) Potential Increase in error ---POS Preserved --Testing dt=0.02618 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02618-0.02028 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.02619 ---POS Violated after 4 steps t=0.104760 (-1.202080e-04) L2 error at time of violation: 0.0968541 Refining dt search increment 1e-05->1e-06 --Testing dt=0.026181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026181-0.020276 (0.005905) Potential Increase in error ---POS Preserved --Testing dt=0.026182 ---POS Violated after 4 steps t=0.104728 (-3.413038e-06) L2 error at time of violation: 0.096767 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.026181 Theoretial Max dt=0.045000 results_pos = max_dt: 0.0262 s: 8 k: 3 p: [] dx: 0.0100 r: 4.5000 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 8 steps t=0.080000 (8.254197e-11) L2 error at time of violation: 0.0199998 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0098 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0098-0.0074 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0099 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0099-0.0062 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 8 steps t=0.080000 (8.254242e-11) L2 error at time of violation: 0.0199998 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00991 ---TVD Violated after 10 steps t=0.099100 (2.011724e-13) L2 error at time of violation: 0.0178348 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009901-0.006188 (0.003713) Potential Increase in error ---TVD Preserved --Testing dt=0.009902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009902-0.006176 (0.003726) Potential Increase in error ---TVD Preserved --Testing dt=0.009903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009903-0.006164 (0.003739) Potential Increase in error ---TVD Preserved --Testing dt=0.009904 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009904-0.006152 (0.003752) Potential Increase in error ---TVD Preserved --Testing dt=0.009905 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009905-0.00614 (0.003765) Potential Increase in error ---TVD Preserved --Testing dt=0.009906 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009906-0.006128 (0.003778) Potential Increase in error ---TVD Preserved --Testing dt=0.009907 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009907-0.006116 (0.003791) Potential Increase in error ---TVD Preserved --Testing dt=0.009908 ---TVD Violated after 10 steps t=0.099080 (1.283418e-13) L2 error at time of violation: 0.0178482 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009907 Theoretial Max dt=0.029522 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 3 steps t=0.060000 (-2.277493e-03) L2 error at time of violation: 0.0866704 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 3 steps t=0.060000 (-2.277493e-03) L2 error at time of violation: 0.0866704 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 ---POS Violated after 3 steps t=0.059730 (-1.520637e-04) L2 error at time of violation: 0.0807577 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019901-0.005594 (0.014307) Potential Increase in error ---POS Preserved --Testing dt=0.019902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019902-0.005588 (0.014314) Potential Increase in error ---POS Preserved --Testing dt=0.019903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019903-0.005582 (0.014321) Potential Increase in error ---POS Preserved --Testing dt=0.019904 ---POS Violated after 3 steps t=0.059712 (-1.077043e-05) L2 error at time of violation: 0.0807673 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019903 Theoretial Max dt=0.029522 results_pos = max_dt: 0.0199 s: 10 k: 3 p: [] dx: 0.0100 r: 2.9522 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s7k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 13 steps t=0.026000 (3.176353e-03) L2 error at time of violation: 0.0281843 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 ---TVD Violated after 28 steps t=0.033600 (4.208709e-05) L2 error at time of violation: 0.0178085 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00111-0.00068 (0.00043) Potential Increase in error ---TVD Preserved --Testing dt=0.00112 ---TVD Violated after 70 steps t=0.078400 (1.431699e-11) L2 error at time of violation: 0.0149917 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001111-0.000568 (0.000543) Potential Increase in error ---TVD Preserved --Testing dt=0.001112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001112-0.000456 (0.000656) Potential Increase in error ---TVD Preserved --Testing dt=0.001113 ---TVD Violated after 84 steps t=0.093492 (1.421085e-13) L2 error at time of violation: 0.0143245 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001112 Theoretial Max dt=0.003191 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s7k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 ---POS Violated after 7 steps t=0.021000 (-8.416567e-02) L2 error at time of violation: 0.0568664 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0025 ---POS Violated after 7 steps t=0.017500 (-8.216449e-04) L2 error at time of violation: 0.0432697 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00241-0.00209 (0.00032) Potential Increase in error ---POS Preserved --Testing dt=0.00242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00242-0.00158 (0.00084) Potential Increase in error ---POS Preserved --Testing dt=0.00243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00243-0.00107 (0.00136) Potential Increase in error ---POS Preserved --Testing dt=0.00244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00244-0.00056 (0.00188) Potential Increase in error ---POS Preserved --Testing dt=0.00245 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00245-5e-05 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.00246 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00246-0.002 (0.00046) Potential Increase in error ---POS Preserved --Testing dt=0.00247 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00247-0.0015 (0.00097) Potential Increase in error ---POS Preserved --Testing dt=0.00248 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00248-0.001 (0.00148) Potential Increase in error ---POS Preserved --Testing dt=0.00249 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00249-0.0005 (0.00199) Potential Increase in error ---POS Preserved --Testing dt=0.0025 ---POS Violated after 7 steps t=0.017500 (-8.216449e-04) L2 error at time of violation: 0.0432697 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002491-0.00045 (0.002041) Potential Increase in error ---POS Preserved --Testing dt=0.002492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002492-0.0004 (0.002092) Potential Increase in error ---POS Preserved --Testing dt=0.002493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002493-0.00035 (0.002143) Potential Increase in error ---POS Preserved --Testing dt=0.002494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002494-0.0003 (0.002194) Potential Increase in error ---POS Preserved --Testing dt=0.002495 ---POS Violated after 7 steps t=0.017465 (-3.903918e-05) L2 error at time of violation: 0.0432565 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002494 Theoretial Max dt=0.003191 results_pos = max_dt: 0.0025 s: 8 k: 7 p: [] dx: 0.0100 r: 0.3191 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 6 steps t=0.012000 (1.467854e-02) L2 error at time of violation: 0.0317367 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 ---TVD Violated after 55 steps t=0.071500 (5.584133e-11) L2 error at time of violation: 0.0139516 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00121-0.00037 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.00122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00122-0.00056 (0.00066) Potential Increase in error ---TVD Preserved --Testing dt=0.00123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00123-0.00077 (0.00046) Potential Increase in error ---TVD Preserved --Testing dt=0.00124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00124-0.001 (0.00024) Potential Increase in error ---TVD Preserved --Testing dt=0.00125 ---TVD Preserved --Testing dt=0.00126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00126-0.00026 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00127 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00127-0.00054 (0.00073) Potential Increase in error ---TVD Preserved --Testing dt=0.00128 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00128-0.00084 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00129 ---TVD Violated after 67 steps t=0.086430 (5.950795e-13) L2 error at time of violation: 0.0128107 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001281 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001281-0.000743 (0.000538) Potential Increase in error ---TVD Preserved --Testing dt=0.001282 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001282-0.000646 (0.000636) Potential Increase in error ---TVD Preserved --Testing dt=0.001283 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001283-0.000549 (0.000734) Potential Increase in error ---TVD Preserved --Testing dt=0.001284 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001284-0.000452 (0.000832) Potential Increase in error ---TVD Preserved --Testing dt=0.001285 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001285-0.000355 (0.00093) Potential Increase in error ---TVD Preserved --Testing dt=0.001286 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001286-0.000258 (0.001028) Potential Increase in error ---TVD Preserved --Testing dt=0.001287 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001287-0.000161 (0.001126) Potential Increase in error ---TVD Preserved --Testing dt=0.001288 ---TVD Violated after 73 steps t=0.094024 (1.194600e-13) L2 error at time of violation: 0.0156557 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001287 Theoretial Max dt=0.003472 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 ---POS Violated after 6 steps t=0.018000 (-3.295560e-02) L2 error at time of violation: 0.0461591 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0025 ---POS Violated after 6 steps t=0.015000 (-1.088207e-02) L2 error at time of violation: 0.0454422 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00241 ---POS Violated after 6 steps t=0.014460 (-1.103815e-03) L2 error at time of violation: 0.0450163 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002401 ---POS Violated after 6 steps t=0.014406 (-8.981769e-05) L2 error at time of violation: 0.044965 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002400 Theoretial Max dt=0.003472 results_pos = max_dt: 0.0024 s: 4 k: 6 p: [] dx: 0.0100 r: 0.3472 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 ---TVD Violated after 4 steps t=0.052000 (1.632385e-04) L2 error at time of violation: 0.0235286 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---TVD Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---TVD Preserved --Testing dt=0.0124 ---TVD Violated after 4 steps t=0.049600 (4.944158e-06) L2 error at time of violation: 0.0299711 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01231-0.0019 (0.01041) Potential Increase in error ---TVD Preserved --Testing dt=0.01232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01232-0.0018 (0.01052) Potential Increase in error ---TVD Preserved --Testing dt=0.01233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01233-0.0017 (0.01063) Potential Increase in error ---TVD Preserved --Testing dt=0.01234 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01234-0.0016 (0.01074) Potential Increase in error ---TVD Preserved --Testing dt=0.01235 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01235-0.0015 (0.01085) Potential Increase in error ---TVD Preserved --Testing dt=0.01236 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01236-0.0014 (0.01096) Potential Increase in error ---TVD Preserved --Testing dt=0.01237 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01237-0.0013 (0.01107) Potential Increase in error ---TVD Preserved --Testing dt=0.01238 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01238-0.0012 (0.01118) Potential Increase in error ---TVD Preserved --Testing dt=0.01239 ---TVD Violated after 4 steps t=0.049560 (3.788840e-07) L2 error at time of violation: 0.0299439 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012381-0.00119 (0.011191) Potential Increase in error ---TVD Preserved --Testing dt=0.012382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012382-0.00118 (0.011202) Potential Increase in error ---TVD Preserved --Testing dt=0.012383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012383-0.00117 (0.011213) Potential Increase in error ---TVD Preserved --Testing dt=0.012384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012384-0.00116 (0.011224) Potential Increase in error ---TVD Preserved --Testing dt=0.012385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012385-0.00115 (0.011235) Potential Increase in error ---TVD Preserved --Testing dt=0.012386 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012386-0.00114 (0.011246) Potential Increase in error ---TVD Preserved --Testing dt=0.012387 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012387-0.00113 (0.011257) Potential Increase in error ---TVD Preserved --Testing dt=0.012388 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012388-0.00112 (0.011268) Potential Increase in error ---TVD Preserved --Testing dt=0.012389 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012389-0.00111 (0.011279) Potential Increase in error ---TVD Preserved --Testing dt=0.01239 ---TVD Violated after 4 steps t=0.049560 (3.788840e-07) L2 error at time of violation: 0.0299439 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012389 Theoretial Max dt=0.039415 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 2 steps t=0.056000 (-6.785577e-03) L2 error at time of violation: 0.0734383 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0166 (0.0105) Potential Increase in error ---POS Preserved --Testing dt=0.0272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0162 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0158 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0154 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.015 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.0276 ---POS Violated after 3 steps t=0.082800 (-1.512280e-04) L2 error at time of violation: 0.0717651 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02751-0.01496 (0.01255) Potential Increase in error ---POS Preserved --Testing dt=0.02752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02752-0.01492 (0.0126) Potential Increase in error ---POS Preserved --Testing dt=0.02753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02753-0.01488 (0.01265) Potential Increase in error ---POS Preserved --Testing dt=0.02754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02754-0.01484 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.02755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02755-0.0148 (0.01275) Potential Increase in error ---POS Preserved --Testing dt=0.02756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02756-0.01476 (0.0128) Potential Increase in error ---POS Preserved --Testing dt=0.02757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02757-0.01472 (0.01285) Potential Increase in error ---POS Preserved --Testing dt=0.02758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02758-0.01468 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.02759 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02759-0.01464 (0.01295) Potential Increase in error ---POS Preserved --Testing dt=0.0276 ---POS Violated after 3 steps t=0.082800 (-1.512280e-04) L2 error at time of violation: 0.0717651 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027591-0.014636 (0.012955) Potential Increase in error ---POS Preserved --Testing dt=0.027592 ---POS Violated after 3 steps t=0.082776 (-1.013455e-05) L2 error at time of violation: 0.0716459 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027591 Theoretial Max dt=0.039415 results_pos = max_dt: 0.0276 s: 9 k: 2 p: [] dx: 0.0100 r: 3.9415 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 8 steps t=0.056000 (8.490131e-03) L2 error at time of violation: 0.0773052 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 ---TVD Violated after 11 steps t=0.067100 (4.970845e-04) L2 error at time of violation: 0.0645862 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00601-0.0048 (0.00121) Potential Increase in error ---TVD Preserved --Testing dt=0.00602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00602-0.0046 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00603-0.0044 (0.00163) Potential Increase in error ---TVD Preserved --Testing dt=0.00604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00604-0.0042 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00605-0.004 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00606-0.0038 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.00607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00607-0.0036 (0.00247) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 11 steps t=0.066880 (1.994258e-05) L2 error at time of violation: 0.0649105 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006071-0.00358 (0.002491) Potential Increase in error ---TVD Preserved --Testing dt=0.006072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006072-0.00356 (0.002512) Potential Increase in error ---TVD Preserved --Testing dt=0.006073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006073-0.00354 (0.002533) Potential Increase in error ---TVD Preserved --Testing dt=0.006074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006074-0.00352 (0.002554) Potential Increase in error ---TVD Preserved --Testing dt=0.006075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006075-0.0035 (0.002575) Potential Increase in error ---TVD Preserved --Testing dt=0.006076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006076-0.00348 (0.002596) Potential Increase in error ---TVD Preserved --Testing dt=0.006077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006077-0.00346 (0.002617) Potential Increase in error ---TVD Preserved --Testing dt=0.006078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006078-0.00344 (0.002638) Potential Increase in error ---TVD Preserved --Testing dt=0.006079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006079-0.00342 (0.002659) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 11 steps t=0.066880 (1.994258e-05) L2 error at time of violation: 0.0649105 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006079 Theoretial Max dt=0.023027 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 6 steps t=0.096000 (-2.290854e-02) L2 error at time of violation: 0.130803 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 ---POS Violated after 6 steps t=0.092400 (-1.600373e-03) L2 error at time of violation: 0.125895 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01531-0.00252 (0.01279) Potential Increase in error ---POS Preserved --Testing dt=0.01532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01532-0.00244 (0.01288) Potential Increase in error ---POS Preserved --Testing dt=0.01533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01533-0.00236 (0.01297) Potential Increase in error ---POS Preserved --Testing dt=0.01534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01534-0.00228 (0.01306) Potential Increase in error ---POS Preserved --Testing dt=0.01535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01535-0.0022 (0.01315) Potential Increase in error ---POS Preserved --Testing dt=0.01536 ---POS Violated after 6 steps t=0.092160 (-2.884273e-04) L2 error at time of violation: 0.125841 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015351-0.002192 (0.013159) Potential Increase in error ---POS Preserved --Testing dt=0.015352 ---POS Violated after 6 steps t=0.092112 (-2.755587e-05) L2 error at time of violation: 0.125831 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015351 Theoretial Max dt=0.023027 results_pos = max_dt: 0.0154 s: 4 k: 6 p: [] dx: 0.0100 r: 2.3027 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 3 steps t=0.042000 (7.059631e-07) L2 error at time of violation: 0.0362496 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0134 ---TVD Violated after 4 steps t=0.053600 (1.361442e-04) L2 error at time of violation: 0.0282946 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01331-0.00521 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.01332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01332-0.00512 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.01333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01333-0.00503 (0.0083) Potential Increase in error ---TVD Preserved --Testing dt=0.01334 ---TVD Violated after 4 steps t=0.053360 (8.974434e-06) L2 error at time of violation: 0.0289359 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013331-0.005021 (0.00831) Potential Increase in error ---TVD Preserved --Testing dt=0.013332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013332-0.005012 (0.00832) Potential Increase in error ---TVD Preserved --Testing dt=0.013333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013333-0.005003 (0.00833) Potential Increase in error ---TVD Preserved --Testing dt=0.013334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013334-0.004994 (0.00834) Potential Increase in error ---TVD Preserved --Testing dt=0.013335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013335-0.004985 (0.00835) Potential Increase in error ---TVD Preserved --Testing dt=0.013336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013336-0.004976 (0.00836) Potential Increase in error ---TVD Preserved --Testing dt=0.013337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013337-0.004967 (0.00837) Potential Increase in error ---TVD Preserved --Testing dt=0.013338 ---TVD Violated after 4 steps t=0.053352 (1.724201e-06) L2 error at time of violation: 0.028958 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013337 Theoretial Max dt=0.031992 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 ---POS Violated after 3 steps t=0.078000 (-1.217695e-02) L2 error at time of violation: 0.0645093 Refining dt search increment 0.001->0.0001 --Testing dt=0.0251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0251-0.0246 (0.0005) Potential Increase in error ---POS Preserved --Testing dt=0.0252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0252-0.0242 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0253-0.0238 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0254-0.0234 (0.002) Potential Increase in error ---POS Preserved --Testing dt=0.0255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0255-0.023 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0256 ---POS Violated after 3 steps t=0.076800 (-2.311880e-03) L2 error at time of violation: 0.0622997 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02551 ---POS Violated after 3 steps t=0.076530 (-1.093983e-04) L2 error at time of violation: 0.0617978 Refining dt search increment 1e-05->1e-06 --Testing dt=0.025501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025501-0.022996 (0.002505) Potential Increase in error ---POS Preserved --Testing dt=0.025502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025502-0.022992 (0.00251) Potential Increase in error ---POS Preserved --Testing dt=0.025503 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025503-0.022988 (0.002515) Potential Increase in error ---POS Preserved --Testing dt=0.025504 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025504-0.022984 (0.00252) Potential Increase in error ---POS Preserved --Testing dt=0.025505 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025505-0.02298 (0.002525) Potential Increase in error ---POS Preserved --Testing dt=0.025506 ---POS Violated after 3 steps t=0.076518 (-9.029900e-06) L2 error at time of violation: 0.061775 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.025505 Theoretial Max dt=0.031992 results_pos = max_dt: 0.0255 s: 10 k: 2 p: [] dx: 0.0100 r: 3.1992 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 8 steps t=0.040000 (1.364757e-03) L2 error at time of violation: 0.0438338 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 ---TVD Violated after 8 steps t=0.036000 (1.162182e-04) L2 error at time of violation: 0.0477514 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00441-0.00152 (0.00289) Potential Increase in error ---TVD Preserved --Testing dt=0.00442 ---TVD Violated after 13 steps t=0.057460 (6.629649e-05) L2 error at time of violation: 0.0262832 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004411-0.001492 (0.002919) Potential Increase in error ---TVD Preserved --Testing dt=0.004412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004412-0.001464 (0.002948) Potential Increase in error ---TVD Preserved --Testing dt=0.004413 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004413-0.001436 (0.002977) Potential Increase in error ---TVD Preserved --Testing dt=0.004414 ---TVD Violated after 13 steps t=0.057382 (2.475638e-06) L2 error at time of violation: 0.0263566 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004413 Theoretial Max dt=0.014622 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 9 steps t=0.081000 (-3.238778e-02) L2 error at time of violation: 0.0844068 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 ---POS Violated after 15 steps t=0.121500 (-2.619187e-02) L2 error at time of violation: 0.0722579 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00801 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00801-0.00485 (0.00316) Potential Increase in error ---POS Preserved --Testing dt=0.00802 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00802-0.0047 (0.00332) Potential Increase in error ---POS Preserved --Testing dt=0.00803 ---POS Violated after 15 steps t=0.120450 (-5.964204e-03) L2 error at time of violation: 0.0659239 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008021-0.004685 (0.003336) Potential Increase in error ---POS Preserved --Testing dt=0.008022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008022-0.00467 (0.003352) Potential Increase in error ---POS Preserved --Testing dt=0.008023 ---POS Violated after 15 steps t=0.120345 (-6.492993e-04) L2 error at time of violation: 0.0664371 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008022 Theoretial Max dt=0.014622 results_pos = max_dt: 0.0080 s: 3 k: 5 p: [] dx: 0.0100 r: 1.4622 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 5 steps t=0.050000 (1.879136e-02) L2 error at time of violation: 0.0906214 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 ---TVD Violated after 5 steps t=0.047500 (1.716521e-03) L2 error at time of violation: 0.0909924 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00941 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00941-0.00267 (0.00674) Potential Increase in error ---TVD Preserved --Testing dt=0.00942 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00942-0.00254 (0.00688) Potential Increase in error ---TVD Preserved --Testing dt=0.00943 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00943-0.00241 (0.00702) Potential Increase in error ---TVD Preserved --Testing dt=0.00944 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00944-0.00228 (0.00716) Potential Increase in error ---TVD Preserved --Testing dt=0.00945 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00945-0.00215 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.00946 ---TVD Violated after 5 steps t=0.047300 (2.811473e-04) L2 error at time of violation: 0.0910213 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009451-0.002137 (0.007314) Potential Increase in error ---TVD Preserved --Testing dt=0.009452 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009452-0.002124 (0.007328) Potential Increase in error ---TVD Preserved --Testing dt=0.009453 ---TVD Violated after 5 steps t=0.047265 (2.887925e-05) L2 error at time of violation: 0.0910263 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009452 Theoretial Max dt=0.027744 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 ---POS Violated after 5 steps t=0.090000 (-3.262784e-03) L2 error at time of violation: 0.121496 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0171-0.0053 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0172-0.0046 (0.0126) Potential Increase in error ---POS Preserved --Testing dt=0.0173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0173-0.0039 (0.0134) Potential Increase in error ---POS Preserved --Testing dt=0.0174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0174-0.0032 (0.0142) Potential Increase in error ---POS Preserved --Testing dt=0.0175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0175-0.0025 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.0176 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0176-0.0018 (0.0158) Potential Increase in error ---POS Preserved --Testing dt=0.0177 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0177-0.0011 (0.0166) Potential Increase in error ---POS Preserved --Testing dt=0.0178 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0178-0.0004 (0.0174) Potential Increase in error ---POS Preserved --Testing dt=0.0179 ---POS Violated after 5 steps t=0.089500 (-5.910106e-04) L2 error at time of violation: 0.121352 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01781-0.00033 (0.01748) Potential Increase in error ---POS Preserved --Testing dt=0.01782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01782-0.00026 (0.01756) Potential Increase in error ---POS Preserved --Testing dt=0.01783 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01783-0.00019 (0.01764) Potential Increase in error ---POS Preserved --Testing dt=0.01784 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01784-0.00012 (0.01772) Potential Increase in error ---POS Preserved --Testing dt=0.01785 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01785-5e-05 (0.0178) Potential Increase in error ---POS Preserved --Testing dt=0.01786 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01786-0.01784 (2e-05) Potential Increase in error ---POS Preserved --Testing dt=0.01787 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01787-0.01778 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.01788 ---POS Violated after 5 steps t=0.089400 (-4.721694e-05) L2 error at time of violation: 0.121323 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017871-0.017774 (9.7e-05) Potential Increase in error ---POS Preserved --Testing dt=0.017872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017872-0.017768 (0.000104) Potential Increase in error ---POS Preserved --Testing dt=0.017873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017873-0.017762 (0.000111) Potential Increase in error ---POS Preserved --Testing dt=0.017874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017874-0.017756 (0.000118) Potential Increase in error ---POS Preserved --Testing dt=0.017875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017875-0.01775 (0.000125) Potential Increase in error ---POS Preserved --Testing dt=0.017876 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017876-0.017744 (0.000132) Potential Increase in error ---POS Preserved --Testing dt=0.017877 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017877-0.017738 (0.000139) Potential Increase in error ---POS Preserved --Testing dt=0.017878 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017878-0.017732 (0.000146) Potential Increase in error ---POS Preserved --Testing dt=0.017879 ---POS Violated after 5 steps t=0.089395 (-1.994753e-05) L2 error at time of violation: 0.121322 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017878 Theoretial Max dt=0.027744 results_pos = max_dt: 0.0179 s: 8 k: 5 p: [] dx: 0.0100 r: 2.7744 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 9 steps t=0.045000 (4.084089e-03) L2 error at time of violation: 0.0699246 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 ---TVD Violated after 9 steps t=0.040500 (3.813931e-04) L2 error at time of violation: 0.0712808 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00441-0.00152 (0.00289) Potential Increase in error ---TVD Preserved --Testing dt=0.00442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00442-0.00124 (0.00318) Potential Increase in error ---TVD Preserved --Testing dt=0.00443 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00443-0.00096 (0.00347) Potential Increase in error ---TVD Preserved --Testing dt=0.00444 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00444-0.00068 (0.00376) Potential Increase in error ---TVD Preserved --Testing dt=0.00445 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00445-0.0004 (0.00405) Potential Increase in error ---TVD Preserved --Testing dt=0.00446 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00446-0.00012 (0.00434) Potential Increase in error ---TVD Preserved --Testing dt=0.00447 ---TVD Violated after 9 steps t=0.040230 (7.765504e-05) L2 error at time of violation: 0.0712169 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004461-9.2e-05 (0.004369) Potential Increase in error ---TVD Preserved --Testing dt=0.004462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004462-6.4e-05 (0.004398) Potential Increase in error ---TVD Preserved --Testing dt=0.004463 ---TVD Violated after 9 steps t=0.040167 (5.167533e-06) L2 error at time of violation: 0.0712028 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004462 Theoretial Max dt=0.014631 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 7 steps t=0.063000 (-9.261785e-03) L2 error at time of violation: 0.105938 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0086 ---POS Violated after 7 steps t=0.060200 (-1.362507e-03) L2 error at time of violation: 0.10507 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00851-0.00586 (0.00265) Potential Increase in error ---POS Preserved --Testing dt=0.00852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00852-0.00572 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.00853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00853-0.00558 (0.00295) Potential Increase in error ---POS Preserved --Testing dt=0.00854 ---POS Violated after 7 steps t=0.059780 (-2.806677e-05) L2 error at time of violation: 0.100035 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008531-0.005566 (0.002965) Potential Increase in error ---POS Preserved --Testing dt=0.008532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008532-0.005552 (0.00298) Potential Increase in error ---POS Preserved --Testing dt=0.008533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008533-0.005538 (0.002995) Potential Increase in error ---POS Preserved --Testing dt=0.008534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008534-0.005524 (0.00301) Potential Increase in error ---POS Preserved --Testing dt=0.008535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008535-0.00551 (0.003025) Potential Increase in error ---POS Preserved --Testing dt=0.008536 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008536-0.005496 (0.00304) Potential Increase in error ---POS Preserved --Testing dt=0.008537 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008537-0.005482 (0.003055) Potential Increase in error ---POS Preserved --Testing dt=0.008538 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008538-0.005468 (0.00307) Potential Increase in error ---POS Preserved --Testing dt=0.008539 ---POS Violated after 7 steps t=0.059773 (-5.518048e-06) L2 error at time of violation: 0.100034 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008538 Theoretial Max dt=0.014631 results_pos = max_dt: 0.0085 s: 9 k: 7 p: [] dx: 0.0100 r: 1.4631 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 18 steps t=0.036000 (2.561580e-05) L2 error at time of violation: 0.019229 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0017-0.0009 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0018-0.0008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0019-0.0015 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.002 ---TVD Violated after 18 steps t=0.036000 (2.561580e-05) L2 error at time of violation: 0.019229 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00191-0.00085 (0.00106) Potential Increase in error ---TVD Preserved --Testing dt=0.00192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00192-0.0002 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00193 ---TVD Violated after 46 steps t=0.088780 (2.553513e-12) L2 error at time of violation: 0.0135047 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001921-0.000135 (0.001786) Potential Increase in error ---TVD Preserved --Testing dt=0.001922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001922-7e-05 (0.001852) Potential Increase in error ---TVD Preserved --Testing dt=0.001923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001923-5e-06 (0.001918) Potential Increase in error ---TVD Preserved --Testing dt=0.001924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001924-0.001864 (6e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.001925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001925-0.0018 (0.000125) Potential Increase in error ---TVD Preserved --Testing dt=0.001926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001926-0.001736 (0.00019) Potential Increase in error ---TVD Preserved --Testing dt=0.001927 ---TVD Violated after 46 steps t=0.088642 (3.428369e-13) L2 error at time of violation: 0.0132276 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001926 Theoretial Max dt=0.005332 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 6 steps t=0.030000 (-1.473734e-01) L2 error at time of violation: 0.0611521 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 ---POS Violated after 6 steps t=0.024600 (-1.199715e-02) L2 error at time of violation: 0.0466864 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00401 ---POS Violated after 6 steps t=0.024060 (-7.449543e-04) L2 error at time of violation: 0.0465467 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004001-0.000969 (0.003032) Potential Increase in error ---POS Preserved --Testing dt=0.004002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004002-0.000938 (0.003064) Potential Increase in error ---POS Preserved --Testing dt=0.004003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004003-0.000907 (0.003096) Potential Increase in error ---POS Preserved --Testing dt=0.004004 ---POS Violated after 6 steps t=0.024024 (-1.116025e-05) L2 error at time of violation: 0.0465405 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004003 Theoretial Max dt=0.005332 results_pos = max_dt: 0.0040 s: 7 k: 6 p: [] dx: 0.0100 r: 0.5332 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s6k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 8 steps t=0.016000 (5.852736e-05) L2 error at time of violation: 0.040266 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 ---TVD Violated after 15 steps t=0.016500 (3.345754e-03) L2 error at time of violation: 0.0244471 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00101 ---TVD Violated after 21 steps t=0.021210 (9.845188e-04) L2 error at time of violation: 0.0246902 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001001 ---TVD Violated after 21 steps t=0.021021 (6.517547e-04) L2 error at time of violation: 0.0255271 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001000 Theoretial Max dt=0.000412 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s6k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 ---POS Violated after 9 steps t=0.027000 (-4.226048e-02) L2 error at time of violation: 0.0461476 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0024 ---POS Violated after 9 steps t=0.021600 (-6.690669e-03) L2 error at time of violation: 0.0426549 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00231-0.00026 (0.00205) Potential Increase in error ---POS Preserved --Testing dt=0.00232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00232-0.00204 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.00233 ---POS Violated after 9 steps t=0.020970 (-7.407254e-04) L2 error at time of violation: 0.0429383 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002321-0.001987 (0.000334) Potential Increase in error ---POS Preserved --Testing dt=0.002322 ---POS Violated after 9 steps t=0.020898 (-3.774754e-05) L2 error at time of violation: 0.0429899 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002321 Theoretial Max dt=0.000412 results_pos = max_dt: 0.0023 s: 8 k: 6 p: [] dx: 0.0100 r: 0.0412 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 4 steps t=0.016000 (9.027044e-03) L2 error at time of violation: 0.0222483 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 ---TVD Violated after 27 steps t=0.086400 (7.133783e-03) L2 error at time of violation: 0.0169923 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00311-0.0006 (0.00251) Potential Increase in error ---TVD Preserved --Testing dt=0.00312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00312-0.0002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00313-0.00293 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.00314 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00314-0.00254 (0.0006) Potential Increase in error ---TVD Preserved --Testing dt=0.00315 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00315-0.00215 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00316 ---TVD Violated after 36 steps t=0.113760 (9.592505e-06) L2 error at time of violation: 0.0156983 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003151-0.002111 (0.00104) Potential Increase in error ---TVD Preserved --Testing dt=0.003152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003152-0.002072 (0.00108) Potential Increase in error ---TVD Preserved --Testing dt=0.003153 ---TVD Violated after 39 steps t=0.122967 (1.551519e-05) L2 error at time of violation: 0.0136079 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003152 Theoretial Max dt=0.007321 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 8 steps t=0.040000 (-4.857658e-02) L2 error at time of violation: 0.0464955 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0042 ---POS Violated after 27 steps t=0.113400 (-2.463694e-03) L2 error at time of violation: 0.0400691 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00411 ---POS Violated after 28 steps t=0.115080 (-2.448980e-03) L2 error at time of violation: 0.0394516 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004101 ---POS Violated after 28 steps t=0.114828 (-2.106451e-04) L2 error at time of violation: 0.038604 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004100 Theoretial Max dt=0.007321 results_pos = max_dt: 0.0041 s: 2 k: 2 p: [] dx: 0.0100 r: 0.7321 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 18 steps t=0.036000 (5.742538e-06) L2 error at time of violation: 0.0196267 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0017-0.0009 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0018-0.0008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0019-0.0015 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.002 ---TVD Violated after 18 steps t=0.036000 (5.742538e-06) L2 error at time of violation: 0.0196267 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00191-0.00085 (0.00106) Potential Increase in error ---TVD Preserved --Testing dt=0.00192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00192-0.0002 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00193-0.00148 (0.00045) Potential Increase in error ---TVD Preserved --Testing dt=0.00194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00194-0.00084 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.00195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00195-0.0002 (0.00175) Potential Increase in error ---TVD Preserved --Testing dt=0.00196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00196-0.00152 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00197 ---TVD Violated after 34 steps t=0.066980 (1.006297e-10) L2 error at time of violation: 0.0171165 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001961 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001961-0.001457 (0.000504) Potential Increase in error ---TVD Preserved --Testing dt=0.001962 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001962-0.001394 (0.000568) Potential Increase in error ---TVD Preserved --Testing dt=0.001963 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001963-0.001331 (0.000632) Potential Increase in error ---TVD Preserved --Testing dt=0.001964 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001964-0.001268 (0.000696) Potential Increase in error ---TVD Preserved --Testing dt=0.001965 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001965-0.001205 (0.00076) Potential Increase in error ---TVD Preserved --Testing dt=0.001966 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001966-0.001142 (0.000824) Potential Increase in error ---TVD Preserved --Testing dt=0.001967 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001967-0.001079 (0.000888) Potential Increase in error ---TVD Preserved --Testing dt=0.001968 ---TVD Violated after 42 steps t=0.082656 (1.826761e-12) L2 error at time of violation: 0.0181708 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001967 Theoretial Max dt=0.003711 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 ---POS Violated after 22 steps t=0.066000 (-2.012301e-02) L2 error at time of violation: 0.0422763 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0025 ---POS Preserved --Testing dt=0.0026 ---POS Violated after 43 steps t=0.111800 (-3.230960e-03) L2 error at time of violation: 0.0404559 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00251-0.00201 (0.0005) Potential Increase in error ---POS Preserved --Testing dt=0.00252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00252-0.00152 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.00253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00253-0.00103 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.00254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00254-0.00054 (0.002) Potential Increase in error ---POS Preserved --Testing dt=0.00255 ---POS Violated after 39 steps t=0.099450 (-6.319439e-03) L2 error at time of violation: 0.0336485 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002541 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002541-0.000491 (0.00205) Potential Increase in error ---POS Preserved --Testing dt=0.002542 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002542-0.000442 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.002543 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002543-0.000393 (0.00215) Potential Increase in error ---POS Preserved --Testing dt=0.002544 ---POS Violated after 39 steps t=0.099216 (-3.013648e-04) L2 error at time of violation: 0.0333707 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002543 Theoretial Max dt=0.003711 results_pos = max_dt: 0.0025 s: 2 k: 4 p: [] dx: 0.0100 r: 0.3711 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 3 steps t=0.045000 (3.588226e-03) L2 error at time of violation: 0.0328906 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0145 ---TVD Violated after 7 steps t=0.101500 (2.254552e-05) L2 error at time of violation: 0.0216139 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01441-0.00972 (0.00469) Potential Increase in error ---TVD Preserved --Testing dt=0.01442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01442-0.00964 (0.00478) Potential Increase in error ---TVD Preserved --Testing dt=0.01443 ---TVD Violated after 8 steps t=0.115440 (6.055464e-05) L2 error at time of violation: 0.019103 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014421 ---TVD Violated after 8 steps t=0.115368 (5.324509e-06) L2 error at time of violation: 0.0191141 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014420 Theoretial Max dt=0.052227 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 2 steps t=0.050000 (-4.368785e-03) L2 error at time of violation: 0.0662223 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 2 steps t=0.048600 (-7.776489e-04) L2 error at time of violation: 0.0655775 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 ---POS Violated after 2 steps t=0.048420 (-7.153180e-05) L2 error at time of violation: 0.0655134 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024201 ---POS Violated after 2 steps t=0.048402 (-9.474903e-07) L2 error at time of violation: 0.0655073 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024200 Theoretial Max dt=0.052227 results_pos = max_dt: 0.0242 s: 8 k: 2 p: [] dx: 0.0100 r: 5.2227 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 4 steps t=0.028000 (8.490131e-03) L2 error at time of violation: 0.0230372 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 ---TVD Violated after 7 steps t=0.042700 (4.970845e-04) L2 error at time of violation: 0.0239243 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00601-0.0048 (0.00121) Potential Increase in error ---TVD Preserved --Testing dt=0.00602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00602-0.0046 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00603-0.0044 (0.00163) Potential Increase in error ---TVD Preserved --Testing dt=0.00604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00604-0.0042 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00605-0.004 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00606-0.0038 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.00607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00607-0.0036 (0.00247) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 7 steps t=0.042560 (1.994258e-05) L2 error at time of violation: 0.0237022 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006071-0.00358 (0.002491) Potential Increase in error ---TVD Preserved --Testing dt=0.006072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006072-0.00356 (0.002512) Potential Increase in error ---TVD Preserved --Testing dt=0.006073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006073-0.00354 (0.002533) Potential Increase in error ---TVD Preserved --Testing dt=0.006074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006074-0.00352 (0.002554) Potential Increase in error ---TVD Preserved --Testing dt=0.006075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006075-0.0035 (0.002575) Potential Increase in error ---TVD Preserved --Testing dt=0.006076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006076-0.00348 (0.002596) Potential Increase in error ---TVD Preserved --Testing dt=0.006077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006077-0.00346 (0.002617) Potential Increase in error ---TVD Preserved --Testing dt=0.006078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006078-0.00344 (0.002638) Potential Increase in error ---TVD Preserved --Testing dt=0.006079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006079-0.00342 (0.002659) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 7 steps t=0.042560 (1.994258e-05) L2 error at time of violation: 0.0237022 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006079 Theoretial Max dt=0.023027 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 8 steps t=0.120000 (-3.292079e-03) L2 error at time of violation: 0.068129 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 ---POS Violated after 8 steps t=0.113600 (-7.472551e-03) L2 error at time of violation: 0.061781 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01411 ---POS Violated after 8 steps t=0.112880 (-5.176645e-05) L2 error at time of violation: 0.0651535 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014101-0.012192 (0.001909) Potential Increase in error ---POS Preserved --Testing dt=0.014102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014102-0.012184 (0.001918) Potential Increase in error ---POS Preserved --Testing dt=0.014103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014103-0.012176 (0.001927) Potential Increase in error ---POS Preserved --Testing dt=0.014104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014104-0.012168 (0.001936) Potential Increase in error ---POS Preserved --Testing dt=0.014105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014105-0.01216 (0.001945) Potential Increase in error ---POS Preserved --Testing dt=0.014106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014106-0.012152 (0.001954) Potential Increase in error ---POS Preserved --Testing dt=0.014107 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014107-0.012144 (0.001963) Potential Increase in error ---POS Preserved --Testing dt=0.014108 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014108-0.012136 (0.001972) Potential Increase in error ---POS Preserved --Testing dt=0.014109 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014109-0.012128 (0.001981) Potential Increase in error ---POS Preserved --Testing dt=0.01411 ---POS Violated after 8 steps t=0.112880 (-5.176645e-05) L2 error at time of violation: 0.0651535 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014109 Theoretial Max dt=0.023027 results_pos = max_dt: 0.0141 s: 4 k: 2 p: [] dx: 0.0100 r: 2.3027 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 4 steps t=0.020000 (1.082091e-02) L2 error at time of violation: 0.0442802 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0049 ---TVD Violated after 4 steps t=0.019600 (1.391949e-03) L2 error at time of violation: 0.0444966 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00481-0.00475 (6e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00482-0.0045 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.00483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00483-0.00425 (0.00058) Potential Increase in error ---TVD Preserved --Testing dt=0.00484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00484-0.004 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.00485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00485-0.00375 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.00486 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00486-0.0035 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00487 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00487-0.00325 (0.00162) Potential Increase in error ---TVD Preserved --Testing dt=0.00488 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00488-0.003 (0.00188) Potential Increase in error ---TVD Preserved --Testing dt=0.00489 ---TVD Violated after 4 steps t=0.019560 (4.369772e-04) L2 error at time of violation: 0.0445195 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004881-0.002975 (0.001906) Potential Increase in error ---TVD Preserved --Testing dt=0.004882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004882-0.00295 (0.001932) Potential Increase in error ---TVD Preserved --Testing dt=0.004883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004883-0.002925 (0.001958) Potential Increase in error ---TVD Preserved --Testing dt=0.004884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004884-0.0029 (0.001984) Potential Increase in error ---TVD Preserved --Testing dt=0.004885 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004885-0.002875 (0.00201) Potential Increase in error ---TVD Preserved --Testing dt=0.004886 ---TVD Violated after 4 steps t=0.019544 (5.435918e-05) L2 error at time of violation: 0.0445287 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004885 Theoretial Max dt=0.013058 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 4 steps t=0.040000 (-3.066306e-02) L2 error at time of violation: 0.0695238 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 ---POS Violated after 4 steps t=0.037600 (-3.014096e-03) L2 error at time of violation: 0.0677349 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00931-0.00397 (0.00534) Potential Increase in error ---POS Preserved --Testing dt=0.00932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00932-0.00384 (0.00548) Potential Increase in error ---POS Preserved --Testing dt=0.00933 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00933-0.00371 (0.00562) Potential Increase in error ---POS Preserved --Testing dt=0.00934 ---POS Violated after 4 steps t=0.037360 (-2.241485e-04) L2 error at time of violation: 0.0675814 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009331-0.003697 (0.005634) Potential Increase in error ---POS Preserved --Testing dt=0.009332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009332-0.003684 (0.005648) Potential Increase in error ---POS Preserved --Testing dt=0.009333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009333-0.003671 (0.005662) Potential Increase in error ---POS Preserved --Testing dt=0.009334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009334-0.003658 (0.005676) Potential Increase in error ---POS Preserved --Testing dt=0.009335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009335-0.003645 (0.00569) Potential Increase in error ---POS Preserved --Testing dt=0.009336 ---POS Violated after 4 steps t=0.037344 (-3.788306e-05) L2 error at time of violation: 0.0675714 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009335 Theoretial Max dt=0.013058 results_pos = max_dt: 0.0093 s: 8 k: 4 p: [] dx: 0.0100 r: 1.3058 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 3 steps t=0.036000 (1.365923e-02) L2 error at time of violation: 0.0658326 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 ---TVD Violated after 3 steps t=0.033600 (1.206350e-03) L2 error at time of violation: 0.0666584 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01111-0.00279 (0.00832) Potential Increase in error ---TVD Preserved --Testing dt=0.01112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01112-0.00268 (0.00844) Potential Increase in error ---TVD Preserved --Testing dt=0.01113 ---TVD Violated after 3 steps t=0.033390 (1.343303e-04) L2 error at time of violation: 0.0667602 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011121-0.002669 (0.008452) Potential Increase in error ---TVD Preserved --Testing dt=0.011122 ---TVD Violated after 3 steps t=0.033366 (1.132101e-05) L2 error at time of violation: 0.066772 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011121 Theoretial Max dt=0.035422 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 ---POS Violated after 3 steps t=0.072000 (-1.517695e-02) L2 error at time of violation: 0.0912661 Refining dt search increment 0.001->0.0001 --Testing dt=0.0231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0231-0.0095 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0232 ---POS Violated after 3 steps t=0.069600 (-1.195996e-03) L2 error at time of violation: 0.090273 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02311-0.00945 (0.01366) Potential Increase in error ---POS Preserved --Testing dt=0.02312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02312-0.0094 (0.01372) Potential Increase in error ---POS Preserved --Testing dt=0.02313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02313-0.00935 (0.01378) Potential Increase in error ---POS Preserved --Testing dt=0.02314 ---POS Violated after 3 steps t=0.069420 (-7.025888e-05) L2 error at time of violation: 0.0902046 Refining dt search increment 1e-05->1e-06 --Testing dt=0.023131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023131-0.009345 (0.013786) Potential Increase in error ---POS Preserved --Testing dt=0.023132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023132-0.00934 (0.013792) Potential Increase in error ---POS Preserved --Testing dt=0.023133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023133-0.009335 (0.013798) Potential Increase in error ---POS Preserved --Testing dt=0.023134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023134-0.00933 (0.013804) Potential Increase in error ---POS Preserved --Testing dt=0.023135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023135-0.009325 (0.01381) Potential Increase in error ---POS Preserved --Testing dt=0.023136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023136-0.00932 (0.013816) Potential Increase in error ---POS Preserved --Testing dt=0.023137 ---POS Violated after 3 steps t=0.069411 (-1.381774e-05) L2 error at time of violation: 0.0902013 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.023136 Theoretial Max dt=0.035422 results_pos = max_dt: 0.0231 s: 10 k: 3 p: [] dx: 0.0100 r: 3.5422 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 8 steps t=0.056000 (2.325748e-04) L2 error at time of violation: 0.0631124 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 ---TVD Violated after 8 steps t=0.052000 (4.245380e-05) L2 error at time of violation: 0.0564194 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00641-0.00321 (0.0032) Potential Increase in error ---TVD Preserved --Testing dt=0.00642 ---TVD Violated after 8 steps t=0.051360 (2.775748e-06) L2 error at time of violation: 0.0570054 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006411-0.003191 (0.00322) Potential Increase in error ---TVD Preserved --Testing dt=0.006412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006412-0.003172 (0.00324) Potential Increase in error ---TVD Preserved --Testing dt=0.006413 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006413-0.003153 (0.00326) Potential Increase in error ---TVD Preserved --Testing dt=0.006414 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006414-0.003134 (0.00328) Potential Increase in error ---TVD Preserved --Testing dt=0.006415 ---TVD Violated after 8 steps t=0.051320 (1.833237e-07) L2 error at time of violation: 0.0570442 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006414 Theoretial Max dt=0.020672 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 5 steps t=0.070000 (-7.212737e-04) L2 error at time of violation: 0.107544 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0137-0.0017 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0138-0.0008 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0139 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0139-0.0138 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 5 steps t=0.070000 (-7.212737e-04) L2 error at time of violation: 0.107544 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01391-0.01372 (0.00019) Potential Increase in error ---POS Preserved --Testing dt=0.01392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01392-0.01364 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.01393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01393-0.01356 (0.00037) Potential Increase in error ---POS Preserved --Testing dt=0.01394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01394-0.01348 (0.00046) Potential Increase in error ---POS Preserved --Testing dt=0.01395 ---POS Violated after 6 steps t=0.083700 (-3.997826e-05) L2 error at time of violation: 0.101714 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013941 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013941-0.013472 (0.000469) Potential Increase in error ---POS Preserved --Testing dt=0.013942 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013942-0.013464 (0.000478) Potential Increase in error ---POS Preserved --Testing dt=0.013943 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013943-0.013456 (0.000487) Potential Increase in error ---POS Preserved --Testing dt=0.013944 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013944-0.013448 (0.000496) Potential Increase in error ---POS Preserved --Testing dt=0.013945 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013945-0.01344 (0.000505) Potential Increase in error ---POS Preserved --Testing dt=0.013946 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013946-0.013432 (0.000514) Potential Increase in error ---POS Preserved --Testing dt=0.013947 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013947-0.013424 (0.000523) Potential Increase in error ---POS Preserved --Testing dt=0.013948 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013948-0.013416 (0.000532) Potential Increase in error ---POS Preserved --Testing dt=0.013949 ---POS Violated after 6 steps t=0.083694 (-1.069623e-05) L2 error at time of violation: 0.10171 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013948 Theoretial Max dt=0.020672 results_pos = max_dt: 0.0139 s: 6 k: 5 p: [] dx: 0.0100 r: 2.0672 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 13s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 5 steps t=0.040000 (8.437169e-03) L2 error at time of violation: 0.0397468 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 ---TVD Violated after 6 steps t=0.043200 (3.407749e-04) L2 error at time of violation: 0.0349425 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00711 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00711-0.00413 (0.00298) Potential Increase in error ---TVD Preserved --Testing dt=0.00712 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00712-0.00396 (0.00316) Potential Increase in error ---TVD Preserved --Testing dt=0.00713 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00713-0.00379 (0.00334) Potential Increase in error ---TVD Preserved --Testing dt=0.00714 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00714-0.00362 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.00715 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00715-0.00345 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.00716 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00716-0.00328 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.00717 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00717-0.00311 (0.00406) Potential Increase in error ---TVD Preserved --Testing dt=0.00718 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00718-0.00294 (0.00424) Potential Increase in error ---TVD Preserved --Testing dt=0.00719 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00719-0.00277 (0.00442) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 ---TVD Violated after 6 steps t=0.043200 (3.407749e-04) L2 error at time of violation: 0.0349425 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007191-0.002753 (0.004438) Potential Increase in error ---TVD Preserved --Testing dt=0.007192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007192-0.002736 (0.004456) Potential Increase in error ---TVD Preserved --Testing dt=0.007193 ---TVD Violated after 6 steps t=0.043158 (2.485762e-05) L2 error at time of violation: 0.0349629 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007192 Theoretial Max dt=0.001714 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 13s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 7 steps t=0.084000 (-4.945546e-02) L2 error at time of violation: 0.0657919 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 ---POS Violated after 8 steps t=0.088800 (-3.281546e-03) L2 error at time of violation: 0.0301033 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01101-0.00389 (0.00712) Potential Increase in error ---POS Preserved --Testing dt=0.01102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01102-0.00378 (0.00724) Potential Increase in error ---POS Preserved --Testing dt=0.01103 ---POS Violated after 10 steps t=0.110300 (-2.291775e-03) L2 error at time of violation: 0.0253472 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011021-0.003769 (0.007252) Potential Increase in error ---POS Preserved --Testing dt=0.011022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011022-0.003758 (0.007264) Potential Increase in error ---POS Preserved --Testing dt=0.011023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011023-0.003747 (0.007276) Potential Increase in error ---POS Preserved --Testing dt=0.011024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011024-0.003736 (0.007288) Potential Increase in error ---POS Preserved --Testing dt=0.011025 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011025-0.003725 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.011026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011026-0.003714 (0.007312) Potential Increase in error ---POS Preserved --Testing dt=0.011027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011027-0.003703 (0.007324) Potential Increase in error ---POS Preserved --Testing dt=0.011028 ---POS Violated after 10 steps t=0.110280 (-6.078544e-04) L2 error at time of violation: 0.0251714 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011027 Theoretial Max dt=0.001714 results_pos = max_dt: 0.0110 s: 13 k: 3 p: [] dx: 0.0100 r: 0.1714 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 6 steps t=0.048000 (1.961511e-03) L2 error at time of violation: 0.077098 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 ---TVD Violated after 9 steps t=0.069300 (1.664693e-06) L2 error at time of violation: 0.058131 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00761-0.00324 (0.00437) Potential Increase in error ---TVD Preserved --Testing dt=0.00762 ---TVD Violated after 10 steps t=0.076200 (5.282163e-09) L2 error at time of violation: 0.0529695 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007611-0.003224 (0.004387) Potential Increase in error ---TVD Preserved --Testing dt=0.007612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007612-0.003208 (0.004404) Potential Increase in error ---TVD Preserved --Testing dt=0.007613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007613-0.003192 (0.004421) Potential Increase in error ---TVD Preserved --Testing dt=0.007614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007614-0.003176 (0.004438) Potential Increase in error ---TVD Preserved --Testing dt=0.007615 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007615-0.00316 (0.004455) Potential Increase in error ---TVD Preserved --Testing dt=0.007616 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007616-0.003144 (0.004472) Potential Increase in error ---TVD Preserved --Testing dt=0.007617 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007617-0.003128 (0.004489) Potential Increase in error ---TVD Preserved --Testing dt=0.007618 ---TVD Violated after 10 steps t=0.076180 (1.232843e-09) L2 error at time of violation: 0.0529875 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007617 Theoretial Max dt=0.022972 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 5 steps t=0.075000 (-8.277004e-03) L2 error at time of violation: 0.111051 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.0148 ---POS Violated after 5 steps t=0.074000 (-1.103670e-03) L2 error at time of violation: 0.110885 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01471 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01471-0.00732 (0.00739) Potential Increase in error ---POS Preserved --Testing dt=0.01472 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01472-0.00724 (0.00748) Potential Increase in error ---POS Preserved --Testing dt=0.01473 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01473-0.00716 (0.00757) Potential Increase in error ---POS Preserved --Testing dt=0.01474 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01474-0.00708 (0.00766) Potential Increase in error ---POS Preserved --Testing dt=0.01475 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01475-0.007 (0.00775) Potential Increase in error ---POS Preserved --Testing dt=0.01476 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01476-0.00692 (0.00784) Potential Increase in error ---POS Preserved --Testing dt=0.01477 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01477-0.00684 (0.00793) Potential Increase in error ---POS Preserved --Testing dt=0.01478 ---POS Violated after 5 steps t=0.073900 (-3.626833e-04) L2 error at time of violation: 0.110873 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014771 ---POS Violated after 5 steps t=0.073855 (-2.788769e-05) L2 error at time of violation: 0.110867 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014770 Theoretial Max dt=0.022972 results_pos = max_dt: 0.0148 s: 8 k: 5 p: [] dx: 0.0100 r: 2.2972 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 3 steps t=0.033000 (1.188780e-04) L2 error at time of violation: 0.0290843 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 ---TVD Violated after 10 steps t=0.102000 (1.211174e-03) L2 error at time of violation: 0.024482 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01011-0.00368 (0.00643) Potential Increase in error ---TVD Preserved --Testing dt=0.01012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01012-0.00356 (0.00656) Potential Increase in error ---TVD Preserved --Testing dt=0.01013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01013-0.00344 (0.00669) Potential Increase in error ---TVD Preserved --Testing dt=0.01014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01014-0.00332 (0.00682) Potential Increase in error ---TVD Preserved --Testing dt=0.01015 ---TVD Violated after 12 steps t=0.121800 (4.973484e-04) L2 error at time of violation: 0.0237279 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010141 ---TVD Violated after 12 steps t=0.121692 (9.823367e-05) L2 error at time of violation: 0.0230849 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010140 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 2 steps t=0.050000 (-8.227728e-04) L2 error at time of violation: 0.0636068 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0243-0.0035 (0.0208) Potential Increase in error ---POS Preserved --Testing dt=0.0244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0244-0.003 (0.0214) Potential Increase in error ---POS Preserved --Testing dt=0.0245 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0245-0.0025 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.0246 ---POS Violated after 5 steps t=0.123000 (-3.241527e-03) L2 error at time of violation: 0.0681915 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02451-0.00245 (0.02206) Potential Increase in error ---POS Preserved --Testing dt=0.02452 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02452-0.0024 (0.02212) Potential Increase in error ---POS Preserved --Testing dt=0.02453 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02453-0.00235 (0.02218) Potential Increase in error ---POS Preserved --Testing dt=0.02454 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02454-0.0023 (0.02224) Potential Increase in error ---POS Preserved --Testing dt=0.02455 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02455-0.00225 (0.0223) Potential Increase in error ---POS Preserved --Testing dt=0.02456 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02456-0.0022 (0.02236) Potential Increase in error ---POS Preserved --Testing dt=0.02457 ---POS Violated after 5 steps t=0.122850 (-1.034310e-03) L2 error at time of violation: 0.070329 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024561 ---POS Violated after 5 steps t=0.122805 (-5.315922e-05) L2 error at time of violation: 0.0696605 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024560 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0246 s: 6 k: 2 p: [] dx: 0.0100 r: 3.7767 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 4 steps t=0.068000 (2.180850e-04) L2 error at time of violation: 0.0318279 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 ---TVD Violated after 5 steps t=0.081000 (1.291201e-03) L2 error at time of violation: 0.029426 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01611-0.01223 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.01612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01612-0.01216 (0.00396) Potential Increase in error ---TVD Preserved --Testing dt=0.01613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01613-0.01209 (0.00404) Potential Increase in error ---TVD Preserved --Testing dt=0.01614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01614-0.01202 (0.00412) Potential Increase in error ---TVD Preserved --Testing dt=0.01615 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01615-0.01195 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.01616 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01616-0.01188 (0.00428) Potential Increase in error ---TVD Preserved --Testing dt=0.01617 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01617-0.01181 (0.00436) Potential Increase in error ---TVD Preserved --Testing dt=0.01618 ---TVD Violated after 5 steps t=0.080900 (1.271466e-04) L2 error at time of violation: 0.0291469 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016171-0.011803 (0.004368) Potential Increase in error ---TVD Preserved --Testing dt=0.016172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016172-0.011796 (0.004376) Potential Increase in error ---TVD Preserved --Testing dt=0.016173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016173-0.011789 (0.004384) Potential Increase in error ---TVD Preserved --Testing dt=0.016174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016174-0.011782 (0.004392) Potential Increase in error ---TVD Preserved --Testing dt=0.016175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016175-0.011775 (0.0044) Potential Increase in error ---TVD Preserved --Testing dt=0.016176 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016176-0.011768 (0.004408) Potential Increase in error ---TVD Preserved --Testing dt=0.016177 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016177-0.011761 (0.004416) Potential Increase in error ---TVD Preserved --Testing dt=0.016178 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016178-0.011754 (0.004424) Potential Increase in error ---TVD Preserved --Testing dt=0.016179 ---TVD Violated after 5 steps t=0.080895 (2.081819e-05) L2 error at time of violation: 0.0291358 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016178 Theoretial Max dt=0.060498 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 2 steps t=0.056000 (-1.627588e-03) L2 error at time of violation: 0.0657166 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0166 (0.0105) Potential Increase in error ---POS Preserved --Testing dt=0.0272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0162 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0158 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0154 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.015 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.0276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0146 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0277-0.0142 (0.0135) Potential Increase in error ---POS Preserved --Testing dt=0.0278 ---POS Violated after 2 steps t=0.055600 (-2.004368e-04) L2 error at time of violation: 0.0658715 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02771-0.01416 (0.01355) Potential Increase in error ---POS Preserved --Testing dt=0.02772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02772-0.01412 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.02773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02773-0.01408 (0.01365) Potential Increase in error ---POS Preserved --Testing dt=0.02774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02774-0.01404 (0.0137) Potential Increase in error ---POS Preserved --Testing dt=0.02775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02775-0.014 (0.01375) Potential Increase in error ---POS Preserved --Testing dt=0.02776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02776-0.01396 (0.0138) Potential Increase in error ---POS Preserved --Testing dt=0.02777 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02777-0.01392 (0.01385) Potential Increase in error ---POS Preserved --Testing dt=0.02778 ---POS Violated after 2 steps t=0.055560 (-5.971009e-05) L2 error at time of violation: 0.0659024 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027771-0.013916 (0.013855) Potential Increase in error ---POS Preserved --Testing dt=0.027772 ---POS Violated after 2 steps t=0.055544 (-3.516360e-06) L2 error at time of violation: 0.0659134 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027771 Theoretial Max dt=0.060498 results_pos = max_dt: 0.0278 s: 9 k: 2 p: [] dx: 0.0100 r: 6.0498 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s8k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 11 steps t=0.077000 (2.668418e-04) L2 error at time of violation: 0.0922438 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 ---TVD Violated after 11 steps t=0.071500 (2.479439e-05) L2 error at time of violation: 0.0870962 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00641-0.00321 (0.0032) Potential Increase in error ---TVD Preserved --Testing dt=0.00642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00642-0.00302 (0.0034) Potential Increase in error ---TVD Preserved --Testing dt=0.00643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00643-0.00283 (0.0036) Potential Increase in error ---TVD Preserved --Testing dt=0.00644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00644-0.00264 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.00645 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00645-0.00245 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.00646 ---TVD Violated after 11 steps t=0.071060 (5.173330e-07) L2 error at time of violation: 0.0872216 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006451-0.002431 (0.00402) Potential Increase in error ---TVD Preserved --Testing dt=0.006452 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006452-0.002412 (0.00404) Potential Increase in error ---TVD Preserved --Testing dt=0.006453 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006453-0.002393 (0.00406) Potential Increase in error ---TVD Preserved --Testing dt=0.006454 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006454-0.002374 (0.00408) Potential Increase in error ---TVD Preserved --Testing dt=0.006455 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006455-0.002355 (0.0041) Potential Increase in error ---TVD Preserved --Testing dt=0.006456 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006456-0.002336 (0.00412) Potential Increase in error ---TVD Preserved --Testing dt=0.006457 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006457-0.002317 (0.00414) Potential Increase in error ---TVD Preserved --Testing dt=0.006458 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006458-0.002298 (0.00416) Potential Increase in error ---TVD Preserved --Testing dt=0.006459 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006459-0.002279 (0.00418) Potential Increase in error ---TVD Preserved --Testing dt=0.00646 ---TVD Violated after 11 steps t=0.071060 (5.173330e-07) L2 error at time of violation: 0.0872216 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006459 Theoretial Max dt=0.020918 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s8k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---POS Violated after 8 steps t=0.152000 (-1.830051e-01) L2 error at time of violation: 0.176623 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---POS Violated after 8 steps t=0.144800 (-1.220709e-01) L2 error at time of violation: 0.170349 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01801 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---POS Violated after 8 steps t=0.144080 (-1.166359e-01) L2 error at time of violation: 0.170119 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018001 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---POS Violated after 8 steps t=0.144008 (-1.160987e-01) L2 error at time of violation: 0.170096 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018000 Theoretial Max dt=0.020918 results_pos = max_dt: 0.0180 s: 6 k: 8 p: [] dx: 0.0100 r: 2.0918 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 7 steps t=0.077000 (1.188780e-04) L2 error at time of violation: 0.103118 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 ---TVD Violated after 12 steps t=0.123600 (2.066534e-03) L2 error at time of violation: 0.0718766 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01021-0.00248 (0.00773) Potential Increase in error ---TVD Preserved --Testing dt=0.01022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01022-0.00236 (0.00786) Potential Increase in error ---TVD Preserved --Testing dt=0.01023 ---TVD Violated after 12 steps t=0.122760 (1.022093e-03) L2 error at time of violation: 0.0728378 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010221-0.002348 (0.007873) Potential Increase in error ---TVD Preserved --Testing dt=0.010222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010222-0.002336 (0.007886) Potential Increase in error ---TVD Preserved --Testing dt=0.010223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010223-0.002324 (0.007899) Potential Increase in error ---TVD Preserved --Testing dt=0.010224 ---TVD Violated after 12 steps t=0.122688 (8.339727e-05) L2 error at time of violation: 0.0729121 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010223 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.156000 (-1.822258e-02) L2 error at time of violation: 0.167613 Refining dt search increment 0.001->0.0001 --Testing dt=0.0251 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.150600 (-2.099487e-03) L2 error at time of violation: 0.165182 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02501 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.150060 (-9.511486e-04) L2 error at time of violation: 0.165259 Refining dt search increment 1e-05->1e-06 --Testing dt=0.025001 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.150006 (-8.356143e-04) L2 error at time of violation: 0.165267 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.025000 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0250 s: 6 k: 6 p: [] dx: 0.0100 r: 3.7767 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 5 steps t=0.025000 (2.243499e-04) L2 error at time of violation: 0.0200907 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0049 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0049-0.0025 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 5 steps t=0.025000 (2.243499e-04) L2 error at time of violation: 0.0200907 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00491-0.00225 (0.00266) Potential Increase in error ---TVD Preserved --Testing dt=0.00492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00492-0.002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00493 ---TVD Violated after 5 steps t=0.024650 (2.411797e-05) L2 error at time of violation: 0.018225 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004921-0.001975 (0.002946) Potential Increase in error ---TVD Preserved --Testing dt=0.004922 ---TVD Violated after 5 steps t=0.024610 (3.736962e-07) L2 error at time of violation: 0.0181607 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004921 Theoretial Max dt=0.016506 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 11 steps t=0.099000 (-2.101425e-02) L2 error at time of violation: 0.0563796 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0085 ---POS Violated after 12 steps t=0.102000 (-4.704236e-03) L2 error at time of violation: 0.0426373 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00841 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00841-0.00726 (0.00115) Potential Increase in error ---POS Preserved --Testing dt=0.00842 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00842-0.00712 (0.0013) Potential Increase in error ---POS Preserved --Testing dt=0.00843 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00843-0.00698 (0.00145) Potential Increase in error ---POS Preserved --Testing dt=0.00844 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00844-0.00684 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.00845 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00845-0.0067 (0.00175) Potential Increase in error ---POS Preserved --Testing dt=0.00846 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00846-0.00656 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.00847 ---POS Violated after 12 steps t=0.101640 (-2.833019e-04) L2 error at time of violation: 0.0417589 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008461-0.006546 (0.001915) Potential Increase in error ---POS Preserved --Testing dt=0.008462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008462-0.006532 (0.00193) Potential Increase in error ---POS Preserved --Testing dt=0.008463 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008463-0.006518 (0.001945) Potential Increase in error ---POS Preserved --Testing dt=0.008464 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008464-0.006504 (0.00196) Potential Increase in error ---POS Preserved --Testing dt=0.008465 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008465-0.00649 (0.001975) Potential Increase in error ---POS Preserved --Testing dt=0.008466 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008466-0.006476 (0.00199) Potential Increase in error ---POS Preserved --Testing dt=0.008467 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008467-0.006462 (0.002005) Potential Increase in error ---POS Preserved --Testing dt=0.008468 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008468-0.006448 (0.00202) Potential Increase in error ---POS Preserved --Testing dt=0.008469 ---POS Violated after 12 steps t=0.101628 (-1.303914e-04) L2 error at time of violation: 0.0417445 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008468 Theoretial Max dt=0.016506 results_pos = max_dt: 0.0085 s: 3 k: 2 p: [] dx: 0.0100 r: 1.6506 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 10 steps t=0.070000 (6.163615e-07) L2 error at time of violation: 0.0502724 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0068-0.0026 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0069 ---TVD Violated after 15 steps t=0.103500 (3.075518e-11) L2 error at time of violation: 0.0264945 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00681 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00681-0.00242 (0.00439) Potential Increase in error ---TVD Preserved --Testing dt=0.00682 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00682-0.00224 (0.00458) Potential Increase in error ---TVD Preserved --Testing dt=0.00683 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00683-0.00206 (0.00477) Potential Increase in error ---TVD Preserved --Testing dt=0.00684 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00684-0.00188 (0.00496) Potential Increase in error ---TVD Preserved --Testing dt=0.00685 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00685-0.0017 (0.00515) Potential Increase in error ---TVD Preserved --Testing dt=0.00686 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00686-0.00152 (0.00534) Potential Increase in error ---TVD Preserved --Testing dt=0.00687 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00687-0.00134 (0.00553) Potential Increase in error ---TVD Preserved --Testing dt=0.00688 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00688-0.00116 (0.00572) Potential Increase in error ---TVD Preserved --Testing dt=0.00689 ---TVD Violated after 15 steps t=0.103350 (1.241585e-11) L2 error at time of violation: 0.0268868 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006881-0.001142 (0.005739) Potential Increase in error ---TVD Preserved --Testing dt=0.006882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006882-0.001124 (0.005758) Potential Increase in error ---TVD Preserved --Testing dt=0.006883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006883-0.001106 (0.005777) Potential Increase in error ---TVD Preserved --Testing dt=0.006884 ---TVD Violated after 15 steps t=0.103260 (1.010747e-12) L2 error at time of violation: 0.0271363 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006883 Theoretial Max dt=0.020582 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 5 steps t=0.070000 (-2.307103e-03) L2 error at time of violation: 0.103308 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0137-0.0017 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0138-0.0008 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0139 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0139-0.0138 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 5 steps t=0.070000 (-2.307103e-03) L2 error at time of violation: 0.103308 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01391-0.01372 (0.00019) Potential Increase in error ---POS Preserved --Testing dt=0.01392 ---POS Violated after 5 steps t=0.069600 (-1.574634e-04) L2 error at time of violation: 0.103289 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013911-0.013712 (0.000199) Potential Increase in error ---POS Preserved --Testing dt=0.013912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013912-0.013704 (0.000208) Potential Increase in error ---POS Preserved --Testing dt=0.013913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013913-0.013696 (0.000217) Potential Increase in error ---POS Preserved --Testing dt=0.013914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013914-0.013688 (0.000226) Potential Increase in error ---POS Preserved --Testing dt=0.013915 ---POS Violated after 5 steps t=0.069575 (-2.226645e-05) L2 error at time of violation: 0.103288 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013914 Theoretial Max dt=0.020582 results_pos = max_dt: 0.0139 s: 9 k: 5 p: [] dx: 0.0100 r: 2.0582 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 7 steps t=0.035000 (2.300574e-02) L2 error at time of violation: 0.0667045 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 ---TVD Violated after 9 steps t=0.036900 (2.083649e-03) L2 error at time of violation: 0.0613276 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00401-0.00069 (0.00332) Potential Increase in error ---TVD Preserved --Testing dt=0.00402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00402-0.00038 (0.00364) Potential Increase in error ---TVD Preserved --Testing dt=0.00403 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00403-7e-05 (0.00396) Potential Increase in error ---TVD Preserved --Testing dt=0.00404 ---TVD Violated after 21 steps t=0.084840 (1.086222e-09) L2 error at time of violation: 0.0236923 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004031-3.9e-05 (0.003992) Potential Increase in error ---TVD Preserved --Testing dt=0.004032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004032-8e-06 (0.004024) Potential Increase in error ---TVD Preserved --Testing dt=0.004033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004033-0.00401 (2.3e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.004034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004034-0.00398 (5.4e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.004035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004035-0.00395 (8.5e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.004036 ---TVD Violated after 21 steps t=0.084756 (1.200942e-10) L2 error at time of violation: 0.0238381 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004035 Theoretial Max dt=0.012099 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 7 steps t=0.056000 (-1.475719e-03) L2 error at time of violation: 0.085144 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.0078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0078-0.0002 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0079-0.0065 (0.0014) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 7 steps t=0.056000 (-1.475719e-03) L2 error at time of violation: 0.085144 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00791-0.00635 (0.00156) Potential Increase in error ---POS Preserved --Testing dt=0.00792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00792-0.0062 (0.00172) Potential Increase in error ---POS Preserved --Testing dt=0.00793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00793-0.00605 (0.00188) Potential Increase in error ---POS Preserved --Testing dt=0.00794 ---POS Violated after 8 steps t=0.063520 (-6.598221e-05) L2 error at time of violation: 0.0871587 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007931-0.006035 (0.001896) Potential Increase in error ---POS Preserved --Testing dt=0.007932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007932-0.00602 (0.001912) Potential Increase in error ---POS Preserved --Testing dt=0.007933 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007933-0.006005 (0.001928) Potential Increase in error ---POS Preserved --Testing dt=0.007934 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007934-0.00599 (0.001944) Potential Increase in error ---POS Preserved --Testing dt=0.007935 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007935-0.005975 (0.00196) Potential Increase in error ---POS Preserved --Testing dt=0.007936 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007936-0.00596 (0.001976) Potential Increase in error ---POS Preserved --Testing dt=0.007937 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007937-0.005945 (0.001992) Potential Increase in error ---POS Preserved --Testing dt=0.007938 ---POS Violated after 8 steps t=0.063504 (-1.410593e-05) L2 error at time of violation: 0.0871556 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007937 Theoretial Max dt=0.012099 results_pos = max_dt: 0.0079 s: 10 k: 7 p: [] dx: 0.0100 r: 1.2099 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 5 steps t=0.030000 (2.503391e-03) L2 error at time of violation: 0.029261 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 ---TVD Violated after 9 steps t=0.048600 (1.353760e-03) L2 error at time of violation: 0.0207906 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00531-0.00287 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00532-0.00264 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00533 ---TVD Violated after 9 steps t=0.047970 (2.434424e-05) L2 error at time of violation: 0.0210228 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005321-0.002617 (0.002704) Potential Increase in error ---TVD Preserved --Testing dt=0.005322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005322-0.002594 (0.002728) Potential Increase in error ---TVD Preserved --Testing dt=0.005323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005323-0.002571 (0.002752) Potential Increase in error ---TVD Preserved --Testing dt=0.005324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005324-0.002548 (0.002776) Potential Increase in error ---TVD Preserved --Testing dt=0.005325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005325-0.002525 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.005326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005326-0.002502 (0.002824) Potential Increase in error ---TVD Preserved --Testing dt=0.005327 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005327-0.002479 (0.002848) Potential Increase in error ---TVD Preserved --Testing dt=0.005328 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005328-0.002456 (0.002872) Potential Increase in error ---TVD Preserved --Testing dt=0.005329 ---TVD Violated after 9 steps t=0.047961 (9.918871e-06) L2 error at time of violation: 0.0210313 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005328 Theoretial Max dt=0.017350 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 7 steps t=0.070000 (-2.112155e-02) L2 error at time of violation: 0.0691613 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 ---POS Violated after 13 steps t=0.122200 (-5.458899e-03) L2 error at time of violation: 0.0527507 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00931-0.00397 (0.00534) Potential Increase in error ---POS Preserved --Testing dt=0.00932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00932-0.00384 (0.00548) Potential Increase in error ---POS Preserved --Testing dt=0.00933 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00933-0.00371 (0.00562) Potential Increase in error ---POS Preserved --Testing dt=0.00934 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00934-0.00358 (0.00576) Potential Increase in error ---POS Preserved --Testing dt=0.00935 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00935-0.00345 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.00936 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00936-0.00332 (0.00604) Potential Increase in error ---POS Preserved --Testing dt=0.00937 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00937-0.00319 (0.00618) Potential Increase in error ---POS Preserved --Testing dt=0.00938 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00938-0.00306 (0.00632) Potential Increase in error ---POS Preserved --Testing dt=0.00939 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00939-0.00293 (0.00646) Potential Increase in error ---POS Preserved --Testing dt=0.0094 ---POS Violated after 13 steps t=0.122200 (-5.458899e-03) L2 error at time of violation: 0.0527507 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009391-0.002917 (0.006474) Potential Increase in error ---POS Preserved --Testing dt=0.009392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009392-0.002904 (0.006488) Potential Increase in error ---POS Preserved --Testing dt=0.009393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009393-0.002891 (0.006502) Potential Increase in error ---POS Preserved --Testing dt=0.009394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009394-0.002878 (0.006516) Potential Increase in error ---POS Preserved --Testing dt=0.009395 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009395-0.002865 (0.00653) Potential Increase in error ---POS Preserved --Testing dt=0.009396 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009396-0.002852 (0.006544) Potential Increase in error ---POS Preserved --Testing dt=0.009397 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009397-0.002839 (0.006558) Potential Increase in error ---POS Preserved --Testing dt=0.009398 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009398-0.002826 (0.006572) Potential Increase in error ---POS Preserved --Testing dt=0.009399 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009399-0.002813 (0.006586) Potential Increase in error ---POS Preserved --Testing dt=0.0094 ---POS Violated after 13 steps t=0.122200 (-5.458899e-03) L2 error at time of violation: 0.0527507 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009399 Theoretial Max dt=0.017350 results_pos = max_dt: 0.0094 s: 3 k: 3 p: [] dx: 0.0100 r: 1.7350 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 14 steps t=0.056000 (1.897170e-07) L2 error at time of violation: 0.0201916 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 ---TVD Violated after 23 steps t=0.080500 (8.941736e-13) L2 error at time of violation: 0.0130976 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00341 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00341-0.00224 (0.00117) Potential Increase in error ---TVD Preserved --Testing dt=0.00342 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00342-0.00188 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00343 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00343-0.00152 (0.00191) Potential Increase in error ---TVD Preserved --Testing dt=0.00344 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00344-0.00116 (0.00228) Potential Increase in error ---TVD Preserved --Testing dt=0.00345 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00345-0.0008 (0.00265) Potential Increase in error ---TVD Preserved --Testing dt=0.00346 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00346-0.00044 (0.00302) Potential Increase in error ---TVD Preserved --Testing dt=0.00347 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00347-8e-05 (0.00339) Potential Increase in error ---TVD Preserved --Testing dt=0.00348 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00348-0.0032 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00349 ---TVD Violated after 25 steps t=0.087250 (1.116884e-13) L2 error at time of violation: 0.0120921 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003481-0.003165 (0.000316) Potential Increase in error ---TVD Preserved --Testing dt=0.003482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003482-0.00313 (0.000352) Potential Increase in error ---TVD Preserved --Testing dt=0.003483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003483-0.003095 (0.000388) Potential Increase in error ---TVD Preserved --Testing dt=0.003484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003484-0.00306 (0.000424) Potential Increase in error ---TVD Preserved --Testing dt=0.003485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003485-0.003025 (0.00046) Potential Increase in error ---TVD Preserved --Testing dt=0.003486 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003486-0.00299 (0.000496) Potential Increase in error ---TVD Preserved --Testing dt=0.003487 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003487-0.002955 (0.000532) Potential Increase in error ---TVD Preserved --Testing dt=0.003488 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003488-0.00292 (0.000568) Potential Increase in error ---TVD Preserved --Testing dt=0.003489 ---TVD Violated after 25 steps t=0.087225 (1.009193e-13) L2 error at time of violation: 0.0120988 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003488 Theoretial Max dt=0.006380 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 9 steps t=0.063000 (-2.827615e-04) L2 error at time of violation: 0.0473648 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---POS Preserved --Testing dt=0.0068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0068-0.0026 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.0069 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0069-0.0008 (0.0061) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 9 steps t=0.063000 (-2.827615e-04) L2 error at time of violation: 0.0473648 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00691-0.00062 (0.00629) Potential Increase in error ---POS Preserved --Testing dt=0.00692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00692-0.00044 (0.00648) Potential Increase in error ---POS Preserved --Testing dt=0.00693 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00693-0.00026 (0.00667) Potential Increase in error ---POS Preserved --Testing dt=0.00694 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00694-8e-05 (0.00686) Potential Increase in error ---POS Preserved --Testing dt=0.00695 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00695-0.00685 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.00696 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00696-0.00668 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.00697 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00697-0.00651 (0.00046) Potential Increase in error ---POS Preserved --Testing dt=0.00698 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00698-0.00634 (0.00064) Potential Increase in error ---POS Preserved --Testing dt=0.00699 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00699-0.00617 (0.00082) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 9 steps t=0.063000 (-2.827615e-04) L2 error at time of violation: 0.0473648 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006991-0.006153 (0.000838) Potential Increase in error ---POS Preserved --Testing dt=0.006992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006992-0.006136 (0.000856) Potential Increase in error ---POS Preserved --Testing dt=0.006993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006993-0.006119 (0.000874) Potential Increase in error ---POS Preserved --Testing dt=0.006994 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006994-0.006102 (0.000892) Potential Increase in error ---POS Preserved --Testing dt=0.006995 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006995-0.006085 (0.00091) Potential Increase in error ---POS Preserved --Testing dt=0.006996 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006996-0.006068 (0.000928) Potential Increase in error ---POS Preserved --Testing dt=0.006997 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006997-0.006051 (0.000946) Potential Increase in error ---POS Preserved --Testing dt=0.006998 ---POS Violated after 9 steps t=0.062982 (-4.359166e-05) L2 error at time of violation: 0.047345 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006997 Theoretial Max dt=0.006380 results_pos = max_dt: 0.0070 s: 3 k: 3 p: [] dx: 0.0100 r: 0.6380 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 7 steps t=0.028000 (2.732879e-04) L2 error at time of violation: 0.0229734 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 ---TVD Violated after 24 steps t=0.081600 (4.903922e-11) L2 error at time of violation: 0.0145846 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00331-0.00253 (0.00078) Potential Increase in error ---TVD Preserved --Testing dt=0.00332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00332-0.00216 (0.00116) Potential Increase in error ---TVD Preserved --Testing dt=0.00333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00333-0.00179 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00334-0.00142 (0.00192) Potential Increase in error ---TVD Preserved --Testing dt=0.00335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00335-0.00105 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.00336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00336-0.00068 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00337-0.00031 (0.00306) Potential Increase in error ---TVD Preserved --Testing dt=0.00338 ---TVD Violated after 24 steps t=0.081120 (8.036016e-12) L2 error at time of violation: 0.01312 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003371-0.000273 (0.003098) Potential Increase in error ---TVD Preserved --Testing dt=0.003372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003372-0.000236 (0.003136) Potential Increase in error ---TVD Preserved --Testing dt=0.003373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003373-0.000199 (0.003174) Potential Increase in error ---TVD Preserved --Testing dt=0.003374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003374-0.000162 (0.003212) Potential Increase in error ---TVD Preserved --Testing dt=0.003375 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003375-0.000125 (0.00325) Potential Increase in error ---TVD Preserved --Testing dt=0.003376 ---TVD Violated after 29 steps t=0.097904 (3.624878e-13) L2 error at time of violation: 0.0157422 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003375 Theoretial Max dt=0.003306 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 3 steps t=0.021000 (-7.927991e-02) L2 error at time of violation: 0.0540256 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 ---POS Violated after 3 steps t=0.018900 (-9.081878e-03) L2 error at time of violation: 0.044882 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00621 ---POS Violated after 3 steps t=0.018630 (-7.103757e-04) L2 error at time of violation: 0.0445045 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006201-0.00098 (0.005221) Potential Increase in error ---POS Preserved --Testing dt=0.006202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006202-0.00096 (0.005242) Potential Increase in error ---POS Preserved --Testing dt=0.006203 ---POS Violated after 3 steps t=0.018609 (-6.565514e-05) L2 error at time of violation: 0.0444768 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006202 Theoretial Max dt=0.003306 results_pos = max_dt: 0.0062 s: 5 k: 3 p: [] dx: 0.0100 r: 0.3306 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 5 steps t=0.060000 (9.062707e-04) L2 error at time of violation: 0.103784 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 5 steps t=0.060000 (9.062707e-04) L2 error at time of violation: 0.098797 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01191-0.0059 (0.00601) Potential Increase in error ---TVD Preserved --Testing dt=0.01192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01192-0.0058 (0.00612) Potential Increase in error ---TVD Preserved --Testing dt=0.01193 ---TVD Violated after 8 steps t=0.095440 (1.289225e-08) L2 error at time of violation: 0.0823921 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011921-0.00579 (0.006131) Potential Increase in error ---TVD Preserved --Testing dt=0.011922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011922-0.00578 (0.006142) Potential Increase in error ---TVD Preserved --Testing dt=0.011923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011923-0.00577 (0.006153) Potential Increase in error ---TVD Preserved --Testing dt=0.011924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011924-0.00576 (0.006164) Potential Increase in error ---TVD Preserved --Testing dt=0.011925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011925-0.00575 (0.006175) Potential Increase in error ---TVD Preserved --Testing dt=0.011926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011926-0.00574 (0.006186) Potential Increase in error ---TVD Preserved --Testing dt=0.011927 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011927-0.00573 (0.006197) Potential Increase in error ---TVD Preserved --Testing dt=0.011928 ---TVD Violated after 8 steps t=0.095424 (1.677487e-09) L2 error at time of violation: 0.0823947 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011927 Theoretial Max dt=0.035794 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-5.438594e-01) L2 error at time of violation: 0.208987 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-4.383009e-01) L2 error at time of violation: 0.20234 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-4.282238e-01) L2 error at time of violation: 0.201663 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-4.272217e-01) L2 error at time of violation: 0.201596 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.035794 results_pos = max_dt: 0.0320 s: 8 k: 5 p: [] dx: 0.0100 r: 3.5794 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k9p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 5 steps t=0.030000 (1.159505e-02) L2 error at time of violation: 0.0684979 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 ---TVD Violated after 8 steps t=0.045600 (5.384872e-05) L2 error at time of violation: 0.0486625 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00561-0.00158 (0.00403) Potential Increase in error ---TVD Preserved --Testing dt=0.00562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00562-0.00136 (0.00426) Potential Increase in error ---TVD Preserved --Testing dt=0.00563 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00563-0.00114 (0.00449) Potential Increase in error ---TVD Preserved --Testing dt=0.00564 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00564-0.00092 (0.00472) Potential Increase in error ---TVD Preserved --Testing dt=0.00565 ---TVD Violated after 8 steps t=0.045200 (2.260027e-06) L2 error at time of violation: 0.0492241 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005641-0.000898 (0.004743) Potential Increase in error ---TVD Preserved --Testing dt=0.005642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005642-0.000876 (0.004766) Potential Increase in error ---TVD Preserved --Testing dt=0.005643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005643-0.000854 (0.004789) Potential Increase in error ---TVD Preserved --Testing dt=0.005644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005644-0.000832 (0.004812) Potential Increase in error ---TVD Preserved --Testing dt=0.005645 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005645-0.00081 (0.004835) Potential Increase in error ---TVD Preserved --Testing dt=0.005646 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005646-0.000788 (0.004858) Potential Increase in error ---TVD Preserved --Testing dt=0.005647 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005647-0.000766 (0.004881) Potential Increase in error ---TVD Preserved --Testing dt=0.005648 ---TVD Violated after 8 steps t=0.045184 (1.497963e-07) L2 error at time of violation: 0.0492497 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005647 Theoretial Max dt=0.016950 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k9p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 5 steps t=0.055000 (-1.124139e-02) L2 error at time of violation: 0.0933959 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---POS Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0107 ---POS Violated after 5 steps t=0.053500 (-7.512458e-04) L2 error at time of violation: 0.0927956 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01061-0.00829 (0.00232) Potential Increase in error ---POS Preserved --Testing dt=0.01062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01062-0.00818 (0.00244) Potential Increase in error ---POS Preserved --Testing dt=0.01063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01063-0.00807 (0.00256) Potential Increase in error ---POS Preserved --Testing dt=0.01064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01064-0.00796 (0.00268) Potential Increase in error ---POS Preserved --Testing dt=0.01065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01065-0.00785 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.01066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01066-0.00774 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.01067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01067-0.00763 (0.00304) Potential Increase in error ---POS Preserved --Testing dt=0.01068 ---POS Violated after 5 steps t=0.053400 (-6.259807e-05) L2 error at time of violation: 0.0927578 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010671-0.007619 (0.003052) Potential Increase in error ---POS Preserved --Testing dt=0.010672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010672-0.007608 (0.003064) Potential Increase in error ---POS Preserved --Testing dt=0.010673 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010673-0.007597 (0.003076) Potential Increase in error ---POS Preserved --Testing dt=0.010674 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010674-0.007586 (0.003088) Potential Increase in error ---POS Preserved --Testing dt=0.010675 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010675-0.007575 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.010676 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010676-0.007564 (0.003112) Potential Increase in error ---POS Preserved --Testing dt=0.010677 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010677-0.007553 (0.003124) Potential Increase in error ---POS Preserved --Testing dt=0.010678 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010678-0.007542 (0.003136) Potential Increase in error ---POS Preserved --Testing dt=0.010679 ---POS Violated after 5 steps t=0.053395 (-2.821232e-05) L2 error at time of violation: 0.0927559 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010678 Theoretial Max dt=0.016950 results_pos = max_dt: 0.0107 s: 9 k: 5 p: [] dx: 0.0100 r: 1.6950 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s2k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 6 steps t=0.030000 (9.613050e-04) L2 error at time of violation: 0.0211252 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0049 ---TVD Violated after 17 steps t=0.083300 (6.775981e-08) L2 error at time of violation: 0.0203543 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00481-0.00475 (6e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00482-0.0045 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.00483 ---TVD Violated after 25 steps t=0.120750 (9.972889e-11) L2 error at time of violation: 0.0200408 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004821 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004821-0.004475 (0.000346) Potential Increase in error ---TVD Preserved --Testing dt=0.004822 ---TVD Violated after 25 steps t=0.120550 (8.964607e-12) L2 error at time of violation: 0.0206629 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004821 Theoretial Max dt=0.014142 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s2k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 13 steps t=0.104000 (-1.727684e-02) L2 error at time of violation: 0.0453839 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 ---POS Violated after 11 steps t=0.081400 (-2.090756e-02) L2 error at time of violation: 0.0304118 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00731 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00731-0.00073 (0.00658) Potential Increase in error ---POS Preserved --Testing dt=0.00732 ---POS Violated after 11 steps t=0.080520 (-5.297855e-03) L2 error at time of violation: 0.0308017 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007311-0.000713 (0.006598) Potential Increase in error ---POS Preserved --Testing dt=0.007312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007312-0.000696 (0.006616) Potential Increase in error ---POS Preserved --Testing dt=0.007313 ---POS Violated after 11 steps t=0.080443 (-4.609131e-04) L2 error at time of violation: 0.0307342 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007312 Theoretial Max dt=0.014142 results_pos = max_dt: 0.0073 s: 2 k: 2 p: [] dx: 0.0100 r: 1.4142 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 12 steps t=0.060000 (1.646144e-06) L2 error at time of violation: 0.0391383 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0049 ---TVD Violated after 20 steps t=0.098000 (3.936451e-11) L2 error at time of violation: 0.0254312 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00481-0.00475 (6e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00482-0.0045 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.00483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00483-0.00425 (0.00058) Potential Increase in error ---TVD Preserved --Testing dt=0.00484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00484-0.004 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.00485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00485-0.00375 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.00486 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00486-0.0035 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00487 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00487-0.00325 (0.00162) Potential Increase in error ---TVD Preserved --Testing dt=0.00488 ---TVD Violated after 20 steps t=0.097600 (2.898126e-12) L2 error at time of violation: 0.0242123 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004871-0.003225 (0.001646) Potential Increase in error ---TVD Preserved --Testing dt=0.004872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004872-0.0032 (0.001672) Potential Increase in error ---TVD Preserved --Testing dt=0.004873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004873-0.003175 (0.001698) Potential Increase in error ---TVD Preserved --Testing dt=0.004874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004874-0.00315 (0.001724) Potential Increase in error ---TVD Preserved --Testing dt=0.004875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004875-0.003125 (0.00175) Potential Increase in error ---TVD Preserved --Testing dt=0.004876 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004876-0.0031 (0.001776) Potential Increase in error ---TVD Preserved --Testing dt=0.004877 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004877-0.003075 (0.001802) Potential Increase in error ---TVD Preserved --Testing dt=0.004878 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004878-0.00305 (0.001828) Potential Increase in error ---TVD Preserved --Testing dt=0.004879 ---TVD Violated after 20 steps t=0.097580 (1.312506e-12) L2 error at time of violation: 0.0241544 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004878 Theoretial Max dt=0.014339 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 6 steps t=0.060000 (-1.197183e-02) L2 error at time of violation: 0.095037 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 6 steps t=0.058800 (-3.108665e-03) L2 error at time of violation: 0.0892402 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00971-0.00848 (0.00123) Potential Increase in error ---POS Preserved --Testing dt=0.00972 ---POS Violated after 12 steps t=0.116640 (-3.802864e-03) L2 error at time of violation: 0.0876341 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009711 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009711-0.008468 (0.001243) Potential Increase in error ---POS Preserved --Testing dt=0.009712 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009712-0.008456 (0.001256) Potential Increase in error ---POS Preserved --Testing dt=0.009713 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009713-0.008444 (0.001269) Potential Increase in error ---POS Preserved --Testing dt=0.009714 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009714-0.008432 (0.001282) Potential Increase in error ---POS Preserved --Testing dt=0.009715 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009715-0.00842 (0.001295) Potential Increase in error ---POS Preserved --Testing dt=0.009716 ---POS Violated after 12 steps t=0.116592 (-5.914218e-04) L2 error at time of violation: 0.0874291 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009715 Theoretial Max dt=0.014339 results_pos = max_dt: 0.0097 s: 8 k: 6 p: [] dx: 0.0100 r: 1.4339 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 9 steps t=0.081000 (5.367391e-10) L2 error at time of violation: 0.0249066 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0088-0.0018 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0089 ---TVD Violated after 11 steps t=0.097900 (5.986545e-12) L2 error at time of violation: 0.0185412 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00881-0.00166 (0.00715) Potential Increase in error ---TVD Preserved --Testing dt=0.00882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00882-0.00152 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.00883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00883-0.00138 (0.00745) Potential Increase in error ---TVD Preserved --Testing dt=0.00884 ---TVD Violated after 11 steps t=0.097240 (9.723333e-13) L2 error at time of violation: 0.0199961 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008831 ---TVD Violated after 11 steps t=0.097141 (1.467715e-13) L2 error at time of violation: 0.0202601 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008830 Theoretial Max dt=0.034714 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 ---POS Violated after 4 steps t=0.104000 (-2.040903e-03) L2 error at time of violation: 0.106593 Refining dt search increment 0.001->0.0001 --Testing dt=0.0251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0251-0.0246 (0.0005) Potential Increase in error ---POS Preserved --Testing dt=0.0252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0252-0.0242 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0253-0.0238 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0254-0.0234 (0.002) Potential Increase in error ---POS Preserved --Testing dt=0.0255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0255-0.023 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0256 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0256-0.0226 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0257 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0257-0.0222 (0.0035) Potential Increase in error ---POS Preserved --Testing dt=0.0258 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0258-0.0218 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0259 ---POS Violated after 4 steps t=0.103600 (-2.312217e-05) L2 error at time of violation: 0.104648 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02581-0.02176 (0.00405) Potential Increase in error ---POS Preserved --Testing dt=0.02582 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02582-0.02172 (0.0041) Potential Increase in error ---POS Preserved --Testing dt=0.02583 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02583-0.02168 (0.00415) Potential Increase in error ---POS Preserved --Testing dt=0.02584 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02584-0.02164 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.02585 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02585-0.0216 (0.00425) Potential Increase in error ---POS Preserved --Testing dt=0.02586 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02586-0.02156 (0.0043) Potential Increase in error ---POS Preserved --Testing dt=0.02587 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02587-0.02152 (0.00435) Potential Increase in error ---POS Preserved --Testing dt=0.02588 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02588-0.02148 (0.0044) Potential Increase in error ---POS Preserved --Testing dt=0.02589 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02589-0.02144 (0.00445) Potential Increase in error ---POS Preserved --Testing dt=0.0259 ---POS Violated after 4 steps t=0.103600 (-2.312217e-05) L2 error at time of violation: 0.104648 Refining dt search increment 1e-05->1e-06 --Testing dt=0.025891 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025891-0.021436 (0.004455) Potential Increase in error ---POS Preserved --Testing dt=0.025892 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025892-0.021432 (0.00446) Potential Increase in error ---POS Preserved --Testing dt=0.025893 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025893-0.021428 (0.004465) Potential Increase in error ---POS Preserved --Testing dt=0.025894 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025894-0.021424 (0.00447) Potential Increase in error ---POS Preserved --Testing dt=0.025895 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025895-0.02142 (0.004475) Potential Increase in error ---POS Preserved --Testing dt=0.025896 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025896-0.021416 (0.00448) Potential Increase in error ---POS Preserved --Testing dt=0.025897 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025897-0.021412 (0.004485) Potential Increase in error ---POS Preserved --Testing dt=0.025898 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025898-0.021408 (0.00449) Potential Increase in error ---POS Preserved --Testing dt=0.025899 ---POS Violated after 4 steps t=0.103596 (-1.028642e-06) L2 error at time of violation: 0.104642 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.025898 Theoretial Max dt=0.034714 results_pos = max_dt: 0.0259 s: 9 k: 3 p: [] dx: 0.0100 r: 3.4714 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 9 steps t=0.036000 (3.215972e-03) L2 error at time of violation: 0.0533291 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 ---TVD Violated after 9 steps t=0.028800 (9.696363e-04) L2 error at time of violation: 0.0491916 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00311-0.0006 (0.00251) Potential Increase in error ---TVD Preserved --Testing dt=0.00312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00312-0.0002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00313-0.00293 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.00314 ---TVD Violated after 9 steps t=0.028260 (3.437664e-05) L2 error at time of violation: 0.0494868 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003131-0.002891 (0.00024) Potential Increase in error ---TVD Preserved --Testing dt=0.003132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003132-0.002852 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.003133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003133-0.002813 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.003134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003134-0.002774 (0.00036) Potential Increase in error ---TVD Preserved --Testing dt=0.003135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003135-0.002735 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.003136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003136-0.002696 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.003137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003137-0.002657 (0.00048) Potential Increase in error ---TVD Preserved --Testing dt=0.003138 ---TVD Violated after 9 steps t=0.028242 (3.061478e-07) L2 error at time of violation: 0.0494976 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003137 Theoretial Max dt=0.011495 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 14 steps t=0.098000 (-4.308612e-02) L2 error at time of violation: 0.0986696 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 ---POS Violated after 19 steps t=0.119700 (-2.473048e-03) L2 error at time of violation: 0.0702912 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00621-0.0008 (0.00541) Potential Increase in error ---POS Preserved --Testing dt=0.00622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00622-0.0006 (0.00562) Potential Increase in error ---POS Preserved --Testing dt=0.00623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00623-0.0004 (0.00583) Potential Increase in error ---POS Preserved --Testing dt=0.00624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00624-0.0002 (0.00604) Potential Increase in error ---POS Preserved --Testing dt=0.00625 ---POS Preserved --Testing dt=0.00626 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00626-0.00606 (0.0002) Potential Increase in error ---POS Preserved --Testing dt=0.00627 ---POS Violated after 19 steps t=0.119130 (-1.968625e-03) L2 error at time of violation: 0.0674411 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006261 ---POS Violated after 19 steps t=0.118959 (-7.663596e-05) L2 error at time of violation: 0.0666278 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006260 Theoretial Max dt=0.011495 results_pos = max_dt: 0.0063 s: 2 k: 6 p: [] dx: 0.0100 r: 1.1495 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 9 steps t=0.081000 (6.018368e-03) L2 error at time of violation: 0.0849729 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 ---TVD Violated after 15 steps t=0.123000 (5.786407e-04) L2 error at time of violation: 0.051623 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00811 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00811-0.00335 (0.00476) Potential Increase in error ---TVD Preserved --Testing dt=0.00812 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00812-0.0032 (0.00492) Potential Increase in error ---TVD Preserved --Testing dt=0.00813 ---TVD Violated after 15 steps t=0.121950 (3.082575e-04) L2 error at time of violation: 0.0523584 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008121-0.003185 (0.004936) Potential Increase in error ---TVD Preserved --Testing dt=0.008122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008122-0.00317 (0.004952) Potential Increase in error ---TVD Preserved --Testing dt=0.008123 ---TVD Violated after 15 steps t=0.121845 (1.817601e-05) L2 error at time of violation: 0.0524397 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008122 Theoretial Max dt=0.029879 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 6 steps t=0.120000 (-2.074047e-03) L2 error at time of violation: 0.148675 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 6 steps t=0.120000 (-2.074047e-03) L2 error at time of violation: 0.145237 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01991-0.00554 (0.01437) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 6 steps t=0.119520 (-1.451902e-05) L2 error at time of violation: 0.145204 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019911-0.005534 (0.014377) Potential Increase in error ---POS Preserved --Testing dt=0.019912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019912-0.005528 (0.014384) Potential Increase in error ---POS Preserved --Testing dt=0.019913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019913-0.005522 (0.014391) Potential Increase in error ---POS Preserved --Testing dt=0.019914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019914-0.005516 (0.014398) Potential Increase in error ---POS Preserved --Testing dt=0.019915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019915-0.00551 (0.014405) Potential Increase in error ---POS Preserved --Testing dt=0.019916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019916-0.005504 (0.014412) Potential Increase in error ---POS Preserved --Testing dt=0.019917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019917-0.005498 (0.014419) Potential Increase in error ---POS Preserved --Testing dt=0.019918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019918-0.005492 (0.014426) Potential Increase in error ---POS Preserved --Testing dt=0.019919 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019919-0.005486 (0.014433) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 6 steps t=0.119520 (-1.451902e-05) L2 error at time of violation: 0.145204 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019919 Theoretial Max dt=0.029879 results_pos = max_dt: 0.0199 s: 5 k: 6 p: [] dx: 0.0100 r: 2.9879 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 3 steps t=0.036000 (4.978667e-04) L2 error at time of violation: 0.0677689 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 ---TVD Violated after 3 steps t=0.035700 (2.583791e-04) L2 error at time of violation: 0.0679351 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01181 ---TVD Violated after 3 steps t=0.035430 (9.232747e-06) L2 error at time of violation: 0.0680872 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011801 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011801-0.00699 (0.004811) Potential Increase in error ---TVD Preserved --Testing dt=0.011802 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011802-0.00698 (0.004822) Potential Increase in error ---TVD Preserved --Testing dt=0.011803 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011803-0.00697 (0.004833) Potential Increase in error ---TVD Preserved --Testing dt=0.011804 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011804-0.00696 (0.004844) Potential Increase in error ---TVD Preserved --Testing dt=0.011805 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011805-0.00695 (0.004855) Potential Increase in error ---TVD Preserved --Testing dt=0.011806 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011806-0.00694 (0.004866) Potential Increase in error ---TVD Preserved --Testing dt=0.011807 ---TVD Violated after 3 steps t=0.035421 (3.558883e-07) L2 error at time of violation: 0.0680923 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011806 Theoretial Max dt=0.043056 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 ---POS Violated after 3 steps t=0.087000 (-3.444058e-03) L2 error at time of violation: 0.110535 Refining dt search increment 0.001->0.0001 --Testing dt=0.0281 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0281-0.0126 (0.0155) Potential Increase in error ---POS Preserved --Testing dt=0.0282 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0282-0.0122 (0.016) Potential Increase in error ---POS Preserved --Testing dt=0.0283 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0283-0.0118 (0.0165) Potential Increase in error ---POS Preserved --Testing dt=0.0284 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0284-0.0114 (0.017) Potential Increase in error ---POS Preserved --Testing dt=0.0285 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0285-0.011 (0.0175) Potential Increase in error ---POS Preserved --Testing dt=0.0286 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0286-0.0106 (0.018) Potential Increase in error ---POS Preserved --Testing dt=0.0287 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0287-0.0102 (0.0185) Potential Increase in error ---POS Preserved --Testing dt=0.0288 ---POS Violated after 3 steps t=0.086400 (-9.195977e-04) L2 error at time of violation: 0.105459 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02871-0.01016 (0.01855) Potential Increase in error ---POS Preserved --Testing dt=0.02872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02872-0.01012 (0.0186) Potential Increase in error ---POS Preserved --Testing dt=0.02873 ---POS Violated after 3 steps t=0.086190 (-2.729982e-05) L2 error at time of violation: 0.10533 Refining dt search increment 1e-05->1e-06 --Testing dt=0.028721 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028721-0.010116 (0.018605) Potential Increase in error ---POS Preserved --Testing dt=0.028722 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028722-0.010112 (0.01861) Potential Increase in error ---POS Preserved --Testing dt=0.028723 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028723-0.010108 (0.018615) Potential Increase in error ---POS Preserved --Testing dt=0.028724 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028724-0.010104 (0.01862) Potential Increase in error ---POS Preserved --Testing dt=0.028725 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028725-0.0101 (0.018625) Potential Increase in error ---POS Preserved --Testing dt=0.028726 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028726-0.010096 (0.01863) Potential Increase in error ---POS Preserved --Testing dt=0.028727 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028727-0.010092 (0.018635) Potential Increase in error ---POS Preserved --Testing dt=0.028728 ---POS Violated after 3 steps t=0.086184 (-1.742201e-06) L2 error at time of violation: 0.105327 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.028727 Theoretial Max dt=0.043056 results_pos = max_dt: 0.0287 s: 10 k: 3 p: [] dx: 0.0100 r: 4.3056 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 5 steps t=0.075000 (9.862688e-04) L2 error at time of violation: 0.0577658 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 ---TVD Violated after 6 steps t=0.085800 (3.824535e-04) L2 error at time of violation: 0.0426913 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01421-0.01132 (0.00289) Potential Increase in error ---TVD Preserved --Testing dt=0.01422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01422-0.01124 (0.00298) Potential Increase in error ---TVD Preserved --Testing dt=0.01423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01423-0.01116 (0.00307) Potential Increase in error ---TVD Preserved --Testing dt=0.01424 ---TVD Violated after 6 steps t=0.085440 (1.633967e-05) L2 error at time of violation: 0.045346 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014231-0.011152 (0.003079) Potential Increase in error ---TVD Preserved --Testing dt=0.014232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014232-0.011144 (0.003088) Potential Increase in error ---TVD Preserved --Testing dt=0.014233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014233-0.011136 (0.003097) Potential Increase in error ---TVD Preserved --Testing dt=0.014234 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014234-0.011128 (0.003106) Potential Increase in error ---TVD Preserved --Testing dt=0.014235 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014235-0.01112 (0.003115) Potential Increase in error ---TVD Preserved --Testing dt=0.014236 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014236-0.011112 (0.003124) Potential Increase in error ---TVD Preserved --Testing dt=0.014237 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014237-0.011104 (0.003133) Potential Increase in error ---TVD Preserved --Testing dt=0.014238 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014238-0.011096 (0.003142) Potential Increase in error ---TVD Preserved --Testing dt=0.014239 ---TVD Violated after 6 steps t=0.085434 (5.476958e-06) L2 error at time of violation: 0.0453444 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014238 Theoretial Max dt=0.052821 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 ---POS Violated after 3 steps t=0.111000 (-4.186985e-03) L2 error at time of violation: 0.132524 Refining dt search increment 0.001->0.0001 --Testing dt=0.0361 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0361-0.0167 (0.0194) Potential Increase in error ---POS Preserved --Testing dt=0.0362 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0362-0.0164 (0.0198) Potential Increase in error ---POS Preserved --Testing dt=0.0363 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0363-0.0161 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0364 ---POS Violated after 3 steps t=0.109200 (-2.202113e-04) L2 error at time of violation: 0.129679 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03631-0.01607 (0.02024) Potential Increase in error ---POS Preserved --Testing dt=0.03632 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03632-0.01604 (0.02028) Potential Increase in error ---POS Preserved --Testing dt=0.03633 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03633-0.01601 (0.02032) Potential Increase in error ---POS Preserved --Testing dt=0.03634 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03634-0.01598 (0.02036) Potential Increase in error ---POS Preserved --Testing dt=0.03635 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03635-0.01595 (0.0204) Potential Increase in error ---POS Preserved --Testing dt=0.03636 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03636-0.01592 (0.02044) Potential Increase in error ---POS Preserved --Testing dt=0.03637 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03637-0.01589 (0.02048) Potential Increase in error ---POS Preserved --Testing dt=0.03638 ---POS Violated after 3 steps t=0.109140 (-5.932056e-05) L2 error at time of violation: 0.129515 Refining dt search increment 1e-05->1e-06 --Testing dt=0.036371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036371-0.015887 (0.020484) Potential Increase in error ---POS Preserved --Testing dt=0.036372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036372-0.015884 (0.020488) Potential Increase in error ---POS Preserved --Testing dt=0.036373 ---POS Violated after 3 steps t=0.109119 (-3.148476e-06) L2 error at time of violation: 0.129458 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.036372 Theoretial Max dt=0.052821 results_pos = max_dt: 0.0364 s: 9 k: 3 p: [] dx: 0.0100 r: 5.2821 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 6 steps t=0.048000 (6.547687e-04) L2 error at time of violation: 0.0797609 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 ---TVD Violated after 13 steps t=0.097500 (1.428723e-04) L2 error at time of violation: 0.0355286 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00741-0.00644 (0.00097) Potential Increase in error ---TVD Preserved --Testing dt=0.00742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00742-0.00628 (0.00114) Potential Increase in error ---TVD Preserved --Testing dt=0.00743 ---TVD Violated after 13 steps t=0.096590 (1.625444e-05) L2 error at time of violation: 0.0367781 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007421-0.006264 (0.001157) Potential Increase in error ---TVD Preserved --Testing dt=0.007422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007422-0.006248 (0.001174) Potential Increase in error ---TVD Preserved --Testing dt=0.007423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007423-0.006232 (0.001191) Potential Increase in error ---TVD Preserved --Testing dt=0.007424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007424-0.006216 (0.001208) Potential Increase in error ---TVD Preserved --Testing dt=0.007425 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007425-0.0062 (0.001225) Potential Increase in error ---TVD Preserved --Testing dt=0.007426 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007426-0.006184 (0.001242) Potential Increase in error ---TVD Preserved --Testing dt=0.007427 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007427-0.006168 (0.001259) Potential Increase in error ---TVD Preserved --Testing dt=0.007428 ---TVD Violated after 14 steps t=0.103992 (5.032531e-06) L2 error at time of violation: 0.0308904 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007427 Theoretial Max dt=0.025610 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 8 steps t=0.120000 (-6.326307e-03) L2 error at time of violation: 0.0996531 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.0148 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0148-0.0066 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0149 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0149-0.0058 (0.0091) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 8 steps t=0.120000 (-6.326307e-03) L2 error at time of violation: 0.0961396 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01491-0.00572 (0.00919) Potential Increase in error ---POS Preserved --Testing dt=0.01492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01492-0.00564 (0.00928) Potential Increase in error ---POS Preserved --Testing dt=0.01493 ---POS Violated after 8 steps t=0.119440 (-6.363770e-04) L2 error at time of violation: 0.0955445 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014921-0.005632 (0.009289) Potential Increase in error ---POS Preserved --Testing dt=0.014922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014922-0.005624 (0.009298) Potential Increase in error ---POS Preserved --Testing dt=0.014923 ---POS Violated after 8 steps t=0.119384 (-5.815157e-05) L2 error at time of violation: 0.095485 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014922 Theoretial Max dt=0.025610 results_pos = max_dt: 0.0149 s: 5 k: 5 p: [] dx: 0.0100 r: 2.5610 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 8 steps t=0.032000 (6.531985e-04) L2 error at time of violation: 0.0439321 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0037-0.0029 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0038-0.0034 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0039-0.0002 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 8 steps t=0.032000 (6.531985e-04) L2 error at time of violation: 0.0439321 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00391-0.00379 (0.00012) Potential Increase in error ---TVD Preserved --Testing dt=0.00392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00392-0.00348 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00393-0.00317 (0.00076) Potential Increase in error ---TVD Preserved --Testing dt=0.00394 ---TVD Violated after 8 steps t=0.031520 (8.901904e-05) L2 error at time of violation: 0.0451006 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003931-0.003139 (0.000792) Potential Increase in error ---TVD Preserved --Testing dt=0.003932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003932-0.003108 (0.000824) Potential Increase in error ---TVD Preserved --Testing dt=0.003933 ---TVD Violated after 8 steps t=0.031464 (6.286517e-06) L2 error at time of violation: 0.04524 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003932 Theoretial Max dt=0.010985 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 5 steps t=0.050000 (-3.283573e-02) L2 error at time of violation: 0.0866685 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 ---POS Violated after 7 steps t=0.064400 (-1.228412e-04) L2 error at time of violation: 0.071693 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00911-0.00657 (0.00254) Potential Increase in error ---POS Preserved --Testing dt=0.00912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00912-0.00644 (0.00268) Potential Increase in error ---POS Preserved --Testing dt=0.00913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00913-0.00631 (0.00282) Potential Increase in error ---POS Preserved --Testing dt=0.00914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00914-0.00618 (0.00296) Potential Increase in error ---POS Preserved --Testing dt=0.00915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00915-0.00605 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.00916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00916-0.00592 (0.00324) Potential Increase in error ---POS Preserved --Testing dt=0.00917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00917-0.00579 (0.00338) Potential Increase in error ---POS Preserved --Testing dt=0.00918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00918-0.00566 (0.00352) Potential Increase in error ---POS Preserved --Testing dt=0.00919 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00919-0.00553 (0.00366) Potential Increase in error ---POS Preserved --Testing dt=0.0092 ---POS Violated after 7 steps t=0.064400 (-1.228412e-04) L2 error at time of violation: 0.071693 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009191-0.005517 (0.003674) Potential Increase in error ---POS Preserved --Testing dt=0.009192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009192-0.005504 (0.003688) Potential Increase in error ---POS Preserved --Testing dt=0.009193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009193-0.005491 (0.003702) Potential Increase in error ---POS Preserved --Testing dt=0.009194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009194-0.005478 (0.003716) Potential Increase in error ---POS Preserved --Testing dt=0.009195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009195-0.005465 (0.00373) Potential Increase in error ---POS Preserved --Testing dt=0.009196 ---POS Violated after 7 steps t=0.064372 (-3.665683e-07) L2 error at time of violation: 0.0718354 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009195 Theoretial Max dt=0.010985 results_pos = max_dt: 0.0092 s: 4 k: 5 p: [] dx: 0.0100 r: 1.0985 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 10 steps t=0.060000 (4.521792e-05) L2 error at time of violation: 0.0409044 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 ---TVD Violated after 20 steps t=0.108000 (7.078782e-13) L2 error at time of violation: 0.020581 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00531-0.00287 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00532-0.00264 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00533-0.00241 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00534-0.00218 (0.00316) Potential Increase in error ---TVD Preserved --Testing dt=0.00535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00535-0.00195 (0.0034) Potential Increase in error ---TVD Preserved --Testing dt=0.00536 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00536-0.00172 (0.00364) Potential Increase in error ---TVD Preserved --Testing dt=0.00537 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00537-0.00149 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.00538 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00538-0.00126 (0.00412) Potential Increase in error ---TVD Preserved --Testing dt=0.00539 ---TVD Violated after 20 steps t=0.107800 (2.282619e-13) L2 error at time of violation: 0.0201359 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005381-0.001237 (0.004144) Potential Increase in error ---TVD Preserved --Testing dt=0.005382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005382-0.001214 (0.004168) Potential Increase in error ---TVD Preserved --Testing dt=0.005383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005383-0.001191 (0.004192) Potential Increase in error ---TVD Preserved --Testing dt=0.005384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005384-0.001168 (0.004216) Potential Increase in error ---TVD Preserved --Testing dt=0.005385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005385-0.001145 (0.00424) Potential Increase in error ---TVD Preserved --Testing dt=0.005386 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005386-0.001122 (0.004264) Potential Increase in error ---TVD Preserved --Testing dt=0.005387 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005387-0.001099 (0.004288) Potential Increase in error ---TVD Preserved --Testing dt=0.005388 ---TVD Violated after 20 steps t=0.107760 (1.298961e-13) L2 error at time of violation: 0.0200753 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005387 Theoretial Max dt=0.015630 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 5 steps t=0.055000 (-8.660021e-03) L2 error at time of violation: 0.0944485 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---POS Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0107 ---POS Violated after 6 steps t=0.064200 (-1.222805e-03) L2 error at time of violation: 0.0820378 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01061-0.00829 (0.00232) Potential Increase in error ---POS Preserved --Testing dt=0.01062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01062-0.00818 (0.00244) Potential Increase in error ---POS Preserved --Testing dt=0.01063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01063-0.00807 (0.00256) Potential Increase in error ---POS Preserved --Testing dt=0.01064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01064-0.00796 (0.00268) Potential Increase in error ---POS Preserved --Testing dt=0.01065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01065-0.00785 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.01066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01066-0.00774 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.01067 ---POS Violated after 6 steps t=0.064020 (-2.031674e-04) L2 error at time of violation: 0.0820749 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010661-0.007729 (0.002932) Potential Increase in error ---POS Preserved --Testing dt=0.010662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010662-0.007718 (0.002944) Potential Increase in error ---POS Preserved --Testing dt=0.010663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010663-0.007707 (0.002956) Potential Increase in error ---POS Preserved --Testing dt=0.010664 ---POS Violated after 6 steps t=0.063984 (-3.326363e-06) L2 error at time of violation: 0.0820821 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010663 Theoretial Max dt=0.015630 results_pos = max_dt: 0.0107 s: 8 k: 5 p: [] dx: 0.0100 r: 1.5630 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 6 steps t=0.102000 (2.180850e-04) L2 error at time of violation: 0.084756 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 ---TVD Violated after 7 steps t=0.113400 (1.291201e-03) L2 error at time of violation: 0.0766178 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01611-0.01223 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.01612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01612-0.01216 (0.00396) Potential Increase in error ---TVD Preserved --Testing dt=0.01613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01613-0.01209 (0.00404) Potential Increase in error ---TVD Preserved --Testing dt=0.01614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01614-0.01202 (0.00412) Potential Increase in error ---TVD Preserved --Testing dt=0.01615 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01615-0.01195 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.01616 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01616-0.01188 (0.00428) Potential Increase in error ---TVD Preserved --Testing dt=0.01617 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01617-0.01181 (0.00436) Potential Increase in error ---TVD Preserved --Testing dt=0.01618 ---TVD Violated after 7 steps t=0.113260 (1.271466e-04) L2 error at time of violation: 0.0698802 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016171-0.011803 (0.004368) Potential Increase in error ---TVD Preserved --Testing dt=0.016172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016172-0.011796 (0.004376) Potential Increase in error ---TVD Preserved --Testing dt=0.016173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016173-0.011789 (0.004384) Potential Increase in error ---TVD Preserved --Testing dt=0.016174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016174-0.011782 (0.004392) Potential Increase in error ---TVD Preserved --Testing dt=0.016175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016175-0.011775 (0.0044) Potential Increase in error ---TVD Preserved --Testing dt=0.016176 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016176-0.011768 (0.004408) Potential Increase in error ---TVD Preserved --Testing dt=0.016177 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016177-0.011761 (0.004416) Potential Increase in error ---TVD Preserved --Testing dt=0.016178 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016178-0.011754 (0.004424) Potential Increase in error ---TVD Preserved --Testing dt=0.016179 ---TVD Violated after 7 steps t=0.113253 (2.081819e-05) L2 error at time of violation: 0.0698876 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016178 Theoretial Max dt=0.060498 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 4 steps t=0.112000 (-1.627588e-03) L2 error at time of violation: 0.130119 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0166 (0.0105) Potential Increase in error ---POS Preserved --Testing dt=0.0272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0162 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0158 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0154 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.015 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.0276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0146 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0277-0.0142 (0.0135) Potential Increase in error ---POS Preserved --Testing dt=0.0278 ---POS Violated after 4 steps t=0.111200 (-2.004368e-04) L2 error at time of violation: 0.130053 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02771-0.01416 (0.01355) Potential Increase in error ---POS Preserved --Testing dt=0.02772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02772-0.01412 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.02773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02773-0.01408 (0.01365) Potential Increase in error ---POS Preserved --Testing dt=0.02774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02774-0.01404 (0.0137) Potential Increase in error ---POS Preserved --Testing dt=0.02775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02775-0.014 (0.01375) Potential Increase in error ---POS Preserved --Testing dt=0.02776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02776-0.01396 (0.0138) Potential Increase in error ---POS Preserved --Testing dt=0.02777 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02777-0.01392 (0.01385) Potential Increase in error ---POS Preserved --Testing dt=0.02778 ---POS Violated after 4 steps t=0.111120 (-5.971009e-05) L2 error at time of violation: 0.130054 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027771-0.013916 (0.013855) Potential Increase in error ---POS Preserved --Testing dt=0.027772 ---POS Violated after 4 steps t=0.111088 (-3.516360e-06) L2 error at time of violation: 0.130054 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027771 Theoretial Max dt=0.060498 results_pos = max_dt: 0.0278 s: 9 k: 4 p: [] dx: 0.0100 r: 6.0498 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 3 steps t=0.027000 (6.977875e-03) L2 error at time of violation: 0.0596682 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0088 ---TVD Violated after 8 steps t=0.070400 (4.676923e-08) L2 error at time of violation: 0.0201095 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00871 ---TVD Violated after 8 steps t=0.069680 (6.996461e-10) L2 error at time of violation: 0.0204892 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008701-0.003186 (0.005515) Potential Increase in error ---TVD Preserved --Testing dt=0.008702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008702-0.003172 (0.00553) Potential Increase in error ---TVD Preserved --Testing dt=0.008703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008703-0.003158 (0.005545) Potential Increase in error ---TVD Preserved --Testing dt=0.008704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008704-0.003144 (0.00556) Potential Increase in error ---TVD Preserved --Testing dt=0.008705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008705-0.00313 (0.005575) Potential Increase in error ---TVD Preserved --Testing dt=0.008706 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008706-0.003116 (0.00559) Potential Increase in error ---TVD Preserved --Testing dt=0.008707 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008707-0.003102 (0.005605) Potential Increase in error ---TVD Preserved --Testing dt=0.008708 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008708-0.003088 (0.00562) Potential Increase in error ---TVD Preserved --Testing dt=0.008709 ---TVD Violated after 8 steps t=0.069672 (2.718337e-10) L2 error at time of violation: 0.0204942 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008708 Theoretial Max dt=0.026142 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 3 steps t=0.051000 (-2.452418e-02) L2 error at time of violation: 0.075005 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 ---POS Violated after 3 steps t=0.048900 (-1.166867e-03) L2 error at time of violation: 0.0739543 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01621-0.01153 (0.00468) Potential Increase in error ---POS Preserved --Testing dt=0.01622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01622-0.01146 (0.00476) Potential Increase in error ---POS Preserved --Testing dt=0.01623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01623-0.01139 (0.00484) Potential Increase in error ---POS Preserved --Testing dt=0.01624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01624-0.01132 (0.00492) Potential Increase in error ---POS Preserved --Testing dt=0.01625 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01625-0.01125 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.01626 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01626-0.01118 (0.00508) Potential Increase in error ---POS Preserved --Testing dt=0.01627 ---POS Violated after 3 steps t=0.048810 (-1.582039e-04) L2 error at time of violation: 0.073949 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016261-0.011173 (0.005088) Potential Increase in error ---POS Preserved --Testing dt=0.016262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016262-0.011166 (0.005096) Potential Increase in error ---POS Preserved --Testing dt=0.016263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016263-0.011159 (0.005104) Potential Increase in error ---POS Preserved --Testing dt=0.016264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016264-0.011152 (0.005112) Potential Increase in error ---POS Preserved --Testing dt=0.016265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016265-0.011145 (0.00512) Potential Increase in error ---POS Preserved --Testing dt=0.016266 ---POS Violated after 3 steps t=0.048798 (-2.370527e-05) L2 error at time of violation: 0.0739484 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016265 Theoretial Max dt=0.026142 results_pos = max_dt: 0.0163 s: 9 k: 3 p: [] dx: 0.0100 r: 2.6142 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 10 steps t=0.040000 (3.215972e-03) L2 error at time of violation: 0.0554825 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 ---TVD Violated after 10 steps t=0.032000 (9.696363e-04) L2 error at time of violation: 0.051336 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00311-0.0006 (0.00251) Potential Increase in error ---TVD Preserved --Testing dt=0.00312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00312-0.0002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00313-0.00293 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.00314 ---TVD Violated after 10 steps t=0.031400 (3.437664e-05) L2 error at time of violation: 0.0516517 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003131-0.002891 (0.00024) Potential Increase in error ---TVD Preserved --Testing dt=0.003132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003132-0.002852 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.003133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003133-0.002813 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.003134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003134-0.002774 (0.00036) Potential Increase in error ---TVD Preserved --Testing dt=0.003135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003135-0.002735 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.003136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003136-0.002696 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.003137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003137-0.002657 (0.00048) Potential Increase in error ---TVD Preserved --Testing dt=0.003138 ---TVD Violated after 10 steps t=0.031380 (3.061478e-07) L2 error at time of violation: 0.0516632 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003137 Theoretial Max dt=0.011495 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 15 steps t=0.105000 (-4.308612e-02) L2 error at time of violation: 0.100301 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 ---POS Violated after 17 steps t=0.108800 (-8.325819e-03) L2 error at time of violation: 0.0796726 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00631-0.00511 (0.0012) Potential Increase in error ---POS Preserved --Testing dt=0.00632 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00632-0.00492 (0.0014) Potential Increase in error ---POS Preserved --Testing dt=0.00633 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00633-0.00473 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.00634 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00634-0.00454 (0.0018) Potential Increase in error ---POS Preserved --Testing dt=0.00635 ---POS Violated after 17 steps t=0.107950 (-1.397067e-03) L2 error at time of violation: 0.0780279 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006341 ---POS Violated after 17 steps t=0.107797 (-1.228368e-04) L2 error at time of violation: 0.0776513 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006340 Theoretial Max dt=0.011495 results_pos = max_dt: 0.0063 s: 2 k: 7 p: [] dx: 0.0100 r: 1.1495 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 7 steps t=0.119000 (6.072470e-04) L2 error at time of violation: 0.15072 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 ---TVD Violated after 7 steps t=0.113400 (7.605687e-05) L2 error at time of violation: 0.149524 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01611-0.01223 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.01612 ---TVD Violated after 7 steps t=0.112840 (1.776292e-06) L2 error at time of violation: 0.145997 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016111-0.012223 (0.003888) Potential Increase in error ---TVD Preserved --Testing dt=0.016112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016112-0.012216 (0.003896) Potential Increase in error ---TVD Preserved --Testing dt=0.016113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016113-0.012209 (0.003904) Potential Increase in error ---TVD Preserved --Testing dt=0.016114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016114-0.012202 (0.003912) Potential Increase in error ---TVD Preserved --Testing dt=0.016115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016115-0.012195 (0.00392) Potential Increase in error ---TVD Preserved --Testing dt=0.016116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016116-0.012188 (0.003928) Potential Increase in error ---TVD Preserved --Testing dt=0.016117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016117-0.012181 (0.003936) Potential Increase in error ---TVD Preserved --Testing dt=0.016118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016118-0.012174 (0.003944) Potential Increase in error ---TVD Preserved --Testing dt=0.016119 ---TVD Violated after 7 steps t=0.112833 (8.094864e-07) L2 error at time of violation: 0.145996 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016118 Theoretial Max dt=0.060000 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.210000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.012 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.023 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.220000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.013 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.024 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.230000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.014 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.025 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.240000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025-0.015 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.026 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.250000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.016 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.027 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.270000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.018 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.029 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.280000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.019 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.03 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.290000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.02 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.031 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.300000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.021 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.032 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.310000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.022 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.320000 ---POS Violated after 9 steps t=0.297000 (-1.636276e-02) L2 error at time of violation: 0.198408 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.320000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0321-0.0311 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0322 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.321000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0322-0.0312 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0323 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.322000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0323-0.0313 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0324 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.323000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0324-0.0314 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0325 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.324000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0325-0.0315 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0326 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.325000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0326-0.0316 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0327 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.326000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0327-0.0317 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0328 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327000 ---POS Violated after 8 steps t=0.262400 (-1.700163e-03) L2 error at time of violation: 0.203825 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03271 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03271-0.03261 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.03272 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327100 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03272-0.03262 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.03273 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327200 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03273-0.03263 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.03274 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327300 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03274-0.03264 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.03275 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03275-0.03265 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.03276 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327500 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03276-0.03266 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.03277 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327600 ---POS Violated after 8 steps t=0.262160 (-2.826500e-04) L2 error at time of violation: 0.203792 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032761 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032761-0.032751 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.032762 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327610 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032762-0.032752 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.032763 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327620 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032763-0.032753 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.032764 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327630 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032764-0.032754 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.032765 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.327640 ---POS Violated after 8 steps t=0.262120 (-3.497528e-05) L2 error at time of violation: 0.203787 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032764 Theoretial Max dt=0.060000 results_pos = max_dt: 0.0328 s: 9 k: 7 p: [] dx: 0.0100 r: 6 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 4 steps t=0.020000 (4.816024e-02) L2 error at time of violation: 0.0207538 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 ---TVD Violated after 8 steps t=0.033600 (4.272480e-03) L2 error at time of violation: 0.0188433 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00411 ---TVD Violated after 24 steps t=0.098640 (2.979941e-04) L2 error at time of violation: 0.00984147 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004101-0.00197 (0.002131) Potential Increase in error ---TVD Preserved --Testing dt=0.004102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004102-0.00194 (0.002162) Potential Increase in error ---TVD Preserved --Testing dt=0.004103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004103-0.00191 (0.002193) Potential Increase in error ---TVD Preserved --Testing dt=0.004104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004104-0.00188 (0.002224) Potential Increase in error ---TVD Preserved --Testing dt=0.004105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004105-0.00185 (0.002255) Potential Increase in error ---TVD Preserved --Testing dt=0.004106 ---TVD Violated after 24 steps t=0.098544 (2.092422e-04) L2 error at time of violation: 0.00982112 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004105 Theoretial Max dt=0.008588 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 6 steps t=0.048000 (-2.346353e-02) L2 error at time of violation: 0.0826385 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 ---POS Violated after 15 steps t=0.109500 (-3.952530e-03) L2 error at time of violation: 0.0785714 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00721 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00721-0.00243 (0.00478) Potential Increase in error ---POS Preserved --Testing dt=0.00722 ---POS Violated after 17 steps t=0.122740 (-8.891721e-04) L2 error at time of violation: 0.0917415 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007211-0.002413 (0.004798) Potential Increase in error ---POS Preserved --Testing dt=0.007212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007212-0.002396 (0.004816) Potential Increase in error ---POS Preserved --Testing dt=0.007213 ---POS Violated after 17 steps t=0.122621 (-1.503271e-05) L2 error at time of violation: 0.0997061 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007212 Theoretial Max dt=0.008588 results_pos = max_dt: 0.0072 s: 3 k: 2 p: [] dx: 0.0100 r: 0.8588 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 8 steps t=0.064000 (2.500793e-05) L2 error at time of violation: 0.0647984 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0078 ---TVD Violated after 8 steps t=0.062400 (8.141577e-06) L2 error at time of violation: 0.0664113 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00771-0.00164 (0.00607) Potential Increase in error ---TVD Preserved --Testing dt=0.00772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00772-0.00148 (0.00624) Potential Increase in error ---TVD Preserved --Testing dt=0.00773 ---TVD Violated after 8 steps t=0.061840 (9.510970e-07) L2 error at time of violation: 0.0669711 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007721 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007721-0.001464 (0.006257) Potential Increase in error ---TVD Preserved --Testing dt=0.007722 ---TVD Violated after 8 steps t=0.061776 (8.366986e-08) L2 error at time of violation: 0.067037 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007721 Theoretial Max dt=0.024274 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 5 steps t=0.085000 (-3.838461e-03) L2 error at time of violation: 0.120383 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0167 ---POS Violated after 6 steps t=0.100200 (-1.150637e-03) L2 error at time of violation: 0.117696 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01661-0.00873 (0.00788) Potential Increase in error ---POS Preserved --Testing dt=0.01662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01662-0.00866 (0.00796) Potential Increase in error ---POS Preserved --Testing dt=0.01663 ---POS Violated after 6 steps t=0.099780 (-5.437932e-05) L2 error at time of violation: 0.11295 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016621-0.008653 (0.007968) Potential Increase in error ---POS Preserved --Testing dt=0.016622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016622-0.008646 (0.007976) Potential Increase in error ---POS Preserved --Testing dt=0.016623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016623-0.008639 (0.007984) Potential Increase in error ---POS Preserved --Testing dt=0.016624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016624-0.008632 (0.007992) Potential Increase in error ---POS Preserved --Testing dt=0.016625 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016625-0.008625 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.016626 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016626-0.008618 (0.008008) Potential Increase in error ---POS Preserved --Testing dt=0.016627 ---POS Violated after 6 steps t=0.099762 (-8.291181e-06) L2 error at time of violation: 0.112935 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016626 Theoretial Max dt=0.024274 results_pos = max_dt: 0.0166 s: 6 k: 5 p: [] dx: 0.0100 r: 2.4274 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 7 steps t=0.056000 (3.042562e-03) L2 error at time of violation: 0.0269042 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0078-0.0002 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0079 ---TVD Violated after 7 steps t=0.055300 (8.426855e-04) L2 error at time of violation: 0.0283245 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00781 ---TVD Violated after 13 steps t=0.101530 (2.940962e-04) L2 error at time of violation: 0.0181654 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007801 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007801-0.000184 (0.007617) Potential Increase in error ---TVD Preserved --Testing dt=0.007802 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007802-0.000168 (0.007634) Potential Increase in error ---TVD Preserved --Testing dt=0.007803 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007803-0.000152 (0.007651) Potential Increase in error ---TVD Preserved --Testing dt=0.007804 ---TVD Violated after 13 steps t=0.101452 (3.107813e-06) L2 error at time of violation: 0.018263 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007803 Theoretial Max dt=0.025210 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 7 steps t=0.112000 (-2.264109e-02) L2 error at time of violation: 0.0771283 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0154-0.0018 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0155 ---POS Violated after 7 steps t=0.108500 (-3.680447e-03) L2 error at time of violation: 0.0706672 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01541 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01541-0.00172 (0.01369) Potential Increase in error ---POS Preserved --Testing dt=0.01542 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01542-0.00164 (0.01378) Potential Increase in error ---POS Preserved --Testing dt=0.01543 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01543-0.00156 (0.01387) Potential Increase in error ---POS Preserved --Testing dt=0.01544 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01544-0.00148 (0.01396) Potential Increase in error ---POS Preserved --Testing dt=0.01545 ---POS Violated after 7 steps t=0.108150 (-2.657000e-04) L2 error at time of violation: 0.0703783 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015441-0.001472 (0.013969) Potential Increase in error ---POS Preserved --Testing dt=0.015442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015442-0.001464 (0.013978) Potential Increase in error ---POS Preserved --Testing dt=0.015443 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015443-0.001456 (0.013987) Potential Increase in error ---POS Preserved --Testing dt=0.015444 ---POS Violated after 7 steps t=0.108108 (-9.392732e-06) L2 error at time of violation: 0.0701652 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015443 Theoretial Max dt=0.025210 results_pos = max_dt: 0.0154 s: 5 k: 3 p: [] dx: 0.0100 r: 2.5210 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 8 steps t=0.064000 (6.937955e-06) L2 error at time of violation: 0.0448125 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 ---TVD Violated after 17 steps t=0.120700 (1.538769e-13) L2 error at time of violation: 0.0182458 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00701-0.00583 (0.00118) Potential Increase in error ---TVD Preserved --Testing dt=0.00702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00702-0.00566 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00703-0.00549 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00704-0.00532 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00705-0.00515 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00706 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00706-0.00498 (0.00208) Potential Increase in error ---TVD Preserved --Testing dt=0.00707 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00707-0.00481 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.00708 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00708-0.00464 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00709 ---TVD Violated after 17 steps t=0.120530 (1.116884e-13) L2 error at time of violation: 0.0184662 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007081-0.004623 (0.002458) Potential Increase in error ---TVD Preserved --Testing dt=0.007082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007082-0.004606 (0.002476) Potential Increase in error ---TVD Preserved --Testing dt=0.007083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007083-0.004589 (0.002494) Potential Increase in error ---TVD Preserved --Testing dt=0.007084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007084-0.004572 (0.002512) Potential Increase in error ---TVD Preserved --Testing dt=0.007085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007085-0.004555 (0.00253) Potential Increase in error ---TVD Preserved --Testing dt=0.007086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007086-0.004538 (0.002548) Potential Increase in error ---TVD Preserved --Testing dt=0.007087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007087-0.004521 (0.002566) Potential Increase in error ---TVD Preserved --Testing dt=0.007088 ---TVD Violated after 17 steps t=0.120496 (1.025846e-13) L2 error at time of violation: 0.0185164 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007087 Theoretial Max dt=0.020174 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 4 steps t=0.056000 (-3.852751e-04) L2 error at time of violation: 0.092289 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0137-0.0017 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0138-0.0008 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0139 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0139-0.0138 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 4 steps t=0.056000 (-3.852751e-04) L2 error at time of violation: 0.092289 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01391-0.01372 (0.00019) Potential Increase in error ---POS Preserved --Testing dt=0.01392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01392-0.01364 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.01393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01393-0.01356 (0.00037) Potential Increase in error ---POS Preserved --Testing dt=0.01394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01394-0.01348 (0.00046) Potential Increase in error ---POS Preserved --Testing dt=0.01395 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01395-0.0134 (0.00055) Potential Increase in error ---POS Preserved --Testing dt=0.01396 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01396-0.01332 (0.00064) Potential Increase in error ---POS Preserved --Testing dt=0.01397 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01397-0.01324 (0.00073) Potential Increase in error ---POS Preserved --Testing dt=0.01398 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01398-0.01316 (0.00082) Potential Increase in error ---POS Preserved --Testing dt=0.01399 ---POS Violated after 4 steps t=0.055960 (-1.771015e-04) L2 error at time of violation: 0.0922683 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013981-0.013152 (0.000829) Potential Increase in error ---POS Preserved --Testing dt=0.013982 ---POS Violated after 4 steps t=0.055928 (-1.091157e-05) L2 error at time of violation: 0.0922519 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013981 Theoretial Max dt=0.020174 results_pos = max_dt: 0.0140 s: 6 k: 4 p: [] dx: 0.0100 r: 2.0174 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 4 steps t=0.040000 (7.729738e-03) L2 error at time of violation: 0.0735472 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0096 ---TVD Violated after 4 steps t=0.038400 (1.080496e-03) L2 error at time of violation: 0.0742873 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00951-0.00137 (0.00814) Potential Increase in error ---TVD Preserved --Testing dt=0.00952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00952-0.00124 (0.00828) Potential Increase in error ---TVD Preserved --Testing dt=0.00953 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00953-0.00111 (0.00842) Potential Increase in error ---TVD Preserved --Testing dt=0.00954 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00954-0.00098 (0.00856) Potential Increase in error ---TVD Preserved --Testing dt=0.00955 ---TVD Violated after 4 steps t=0.038200 (1.798216e-04) L2 error at time of violation: 0.0743841 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009541 ---TVD Violated after 4 steps t=0.038164 (1.596408e-05) L2 error at time of violation: 0.0744017 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009540 Theoretial Max dt=0.030876 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 ---POS Violated after 4 steps t=0.076000 (-1.319884e-02) L2 error at time of violation: 0.107941 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---POS Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---POS Preserved --Testing dt=0.0186 ---POS Violated after 4 steps t=0.074400 (-5.388358e-04) L2 error at time of violation: 0.105765 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01851-0.01394 (0.00457) Potential Increase in error ---POS Preserved --Testing dt=0.01852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01852-0.01388 (0.00464) Potential Increase in error ---POS Preserved --Testing dt=0.01853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01853-0.01382 (0.00471) Potential Increase in error ---POS Preserved --Testing dt=0.01854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01854-0.01376 (0.00478) Potential Increase in error ---POS Preserved --Testing dt=0.01855 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01855-0.0137 (0.00485) Potential Increase in error ---POS Preserved --Testing dt=0.01856 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01856-0.01364 (0.00492) Potential Increase in error ---POS Preserved --Testing dt=0.01857 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01857-0.01358 (0.00499) Potential Increase in error ---POS Preserved --Testing dt=0.01858 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01858-0.01352 (0.00506) Potential Increase in error ---POS Preserved --Testing dt=0.01859 ---POS Violated after 4 steps t=0.074360 (-2.226439e-04) L2 error at time of violation: 0.105721 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018581-0.013514 (0.005067) Potential Increase in error ---POS Preserved --Testing dt=0.018582 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018582-0.013508 (0.005074) Potential Increase in error ---POS Preserved --Testing dt=0.018583 ---POS Violated after 4 steps t=0.074332 (-1.357515e-06) L2 error at time of violation: 0.10569 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018582 Theoretial Max dt=0.030876 results_pos = max_dt: 0.0186 s: 10 k: 4 p: [] dx: 0.0100 r: 3.0876 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK3 > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Preserved --Testing dt=0.003 ---TVD Preserved --Testing dt=0.004 ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 2 steps t=0.010000 (2.549743e-02) L2 error at time of violation: 0.0189566 TV Norm History: 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 ---TVD Preserved --Testing dt=0.0042 ---TVD Preserved --Testing dt=0.0043 ---TVD Preserved --Testing dt=0.0044 ---TVD Preserved --Testing dt=0.0045 ---TVD Preserved --Testing dt=0.0046 ---TVD Violated after 18 steps t=0.082800 (3.411677e-05) L2 error at time of violation: 0.0108849 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00451 ---TVD Preserved --Testing dt=0.00452 ---TVD Preserved --Testing dt=0.00453 ---TVD Preserved --Testing dt=0.00454 ---TVD Preserved --Testing dt=0.00455 ---TVD Preserved --Testing dt=0.00456 ---TVD Preserved --Testing dt=0.00457 ---TVD Violated after 5 steps t=0.022850 (3.208849e-04) L2 error at time of violation: 0.0160287 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004561 ---TVD Preserved --Testing dt=0.004562 ---TVD Preserved --Testing dt=0.004563 ---TVD Preserved --Testing dt=0.004564 ---TVD Preserved --Testing dt=0.004565 ---TVD Violated after 5 steps t=0.022825 (6.499605e-05) L2 error at time of violation: 0.0160024 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004564 Theoretial Max dt=0.010000 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK3 > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---POS Preserved --Testing dt=0.003 ---POS Preserved --Testing dt=0.004 ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Preserved --Testing dt=0.007 ---POS Preserved --Testing dt=0.008 ---POS Preserved --Testing dt=0.009 ---POS Preserved --Testing dt=0.01 ---POS Violated after 4 steps t=0.040000 (-2.083827e-02) L2 error at time of violation: 0.0396639 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 ---POS Violated after 10 steps t=0.091000 (-4.378750e-03) L2 error at time of violation: 0.0809097 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00901 ---POS Preserved --Testing dt=0.00902 ---POS Preserved --Testing dt=0.00903 ---POS Violated after 10 steps t=0.090300 (-1.007593e-02) L2 error at time of violation: 0.0792909 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009021 ---POS Preserved --Testing dt=0.009022 ---POS Preserved --Testing dt=0.009023 ---POS Preserved --Testing dt=0.009024 ---POS Preserved --Testing dt=0.009025 ---POS Preserved --Testing dt=0.009026 ---POS Preserved --Testing dt=0.009027 ---POS Preserved --Testing dt=0.009028 ---POS Preserved --Testing dt=0.009029 ---POS Violated after 10 steps t=0.090290 (-7.558476e-03) L2 error at time of violation: 0.0790231 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009028 Theoretial Max dt=0.010000 results_pos = max_dt: 0.0090 s: [] k: 1 p: 3 dx: 0.0100 r: 1 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 10 steps t=0.110000 (4.123551e-04) L2 error at time of violation: 0.0219854 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 ---TVD Violated after 12 steps t=0.124800 (8.776234e-05) L2 error at time of violation: 0.0285384 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01031 ---TVD Violated after 12 steps t=0.123720 (1.782634e-05) L2 error at time of violation: 0.025963 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010301 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010301-0.001388 (0.008913) Potential Increase in error ---TVD Preserved --Testing dt=0.010302 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010302-0.001376 (0.008926) Potential Increase in error ---TVD Preserved --Testing dt=0.010303 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010303-0.001364 (0.008939) Potential Increase in error ---TVD Preserved --Testing dt=0.010304 ---TVD Violated after 12 steps t=0.123648 (2.969754e-06) L2 error at time of violation: 0.0258342 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010303 Theoretial Max dt=0.044721 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 2 steps t=0.050000 (-1.138117e-02) L2 error at time of violation: 0.0741443 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 ---POS Violated after 2 steps t=0.048200 (-2.513610e-04) L2 error at time of violation: 0.0763357 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02401-0.00495 (0.01906) Potential Increase in error ---POS Preserved --Testing dt=0.02402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02402-0.0049 (0.01912) Potential Increase in error ---POS Preserved --Testing dt=0.02403 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02403-0.00485 (0.01918) Potential Increase in error ---POS Preserved --Testing dt=0.02404 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02404-0.0048 (0.01924) Potential Increase in error ---POS Preserved --Testing dt=0.02405 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02405-0.00475 (0.0193) Potential Increase in error ---POS Preserved --Testing dt=0.02406 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02406-0.0047 (0.01936) Potential Increase in error ---POS Preserved --Testing dt=0.02407 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02407-0.00465 (0.01942) Potential Increase in error ---POS Preserved --Testing dt=0.02408 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02408-0.0046 (0.01948) Potential Increase in error ---POS Preserved --Testing dt=0.02409 ---POS Violated after 2 steps t=0.048180 (-5.914353e-05) L2 error at time of violation: 0.0763019 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024081-0.004595 (0.019486) Potential Increase in error ---POS Preserved --Testing dt=0.024082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024082-0.00459 (0.019492) Potential Increase in error ---POS Preserved --Testing dt=0.024083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024083-0.004585 (0.019498) Potential Increase in error ---POS Preserved --Testing dt=0.024084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024084-0.00458 (0.019504) Potential Increase in error ---POS Preserved --Testing dt=0.024085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024085-0.004575 (0.01951) Potential Increase in error ---POS Preserved --Testing dt=0.024086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024086-0.00457 (0.019516) Potential Increase in error ---POS Preserved --Testing dt=0.024087 ---POS Violated after 2 steps t=0.048174 (-1.315869e-06) L2 error at time of violation: 0.0762918 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024086 Theoretial Max dt=0.044721 results_pos = max_dt: 0.0241 s: 5 k: 2 p: [] dx: 0.0100 r: 4.4721 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 7 steps t=0.063000 (6.018368e-03) L2 error at time of violation: 0.0556264 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 ---TVD Violated after 13 steps t=0.106600 (5.786407e-04) L2 error at time of violation: 0.0263387 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00811 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00811-0.00335 (0.00476) Potential Increase in error ---TVD Preserved --Testing dt=0.00812 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00812-0.0032 (0.00492) Potential Increase in error ---TVD Preserved --Testing dt=0.00813 ---TVD Violated after 13 steps t=0.105690 (3.082575e-04) L2 error at time of violation: 0.0256447 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008121-0.003185 (0.004936) Potential Increase in error ---TVD Preserved --Testing dt=0.008122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008122-0.00317 (0.004952) Potential Increase in error ---TVD Preserved --Testing dt=0.008123 ---TVD Violated after 13 steps t=0.105599 (1.817601e-05) L2 error at time of violation: 0.0253065 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008122 Theoretial Max dt=0.029879 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 4 steps t=0.080000 (-2.074047e-03) L2 error at time of violation: 0.111971 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 4 steps t=0.080000 (-2.074047e-03) L2 error at time of violation: 0.107365 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01991-0.00554 (0.01437) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 4 steps t=0.079680 (-1.451902e-05) L2 error at time of violation: 0.107388 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019911-0.005534 (0.014377) Potential Increase in error ---POS Preserved --Testing dt=0.019912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019912-0.005528 (0.014384) Potential Increase in error ---POS Preserved --Testing dt=0.019913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019913-0.005522 (0.014391) Potential Increase in error ---POS Preserved --Testing dt=0.019914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019914-0.005516 (0.014398) Potential Increase in error ---POS Preserved --Testing dt=0.019915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019915-0.00551 (0.014405) Potential Increase in error ---POS Preserved --Testing dt=0.019916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019916-0.005504 (0.014412) Potential Increase in error ---POS Preserved --Testing dt=0.019917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019917-0.005498 (0.014419) Potential Increase in error ---POS Preserved --Testing dt=0.019918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019918-0.005492 (0.014426) Potential Increase in error ---POS Preserved --Testing dt=0.019919 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019919-0.005486 (0.014433) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 4 steps t=0.079680 (-1.451902e-05) L2 error at time of violation: 0.107388 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019919 Theoretial Max dt=0.029879 results_pos = max_dt: 0.0199 s: 5 k: 4 p: [] dx: 0.0100 r: 2.9879 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s8k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 8 steps t=0.040000 (1.415484e-02) L2 error at time of violation: 0.0690295 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 ---TVD Violated after 13 steps t=0.053300 (2.575255e-03) L2 error at time of violation: 0.0519274 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00401-0.00069 (0.00332) Potential Increase in error ---TVD Preserved --Testing dt=0.00402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00402-0.00038 (0.00364) Potential Increase in error ---TVD Preserved --Testing dt=0.00403 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00403-7e-05 (0.00396) Potential Increase in error ---TVD Preserved --Testing dt=0.00404 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00404-0.0038 (0.00024) Potential Increase in error ---TVD Preserved --Testing dt=0.00405 ---TVD Violated after 13 steps t=0.052650 (4.030425e-04) L2 error at time of violation: 0.052257 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004041-0.00377 (0.000271) Potential Increase in error ---TVD Preserved --Testing dt=0.004042 ---TVD Violated after 13 steps t=0.052546 (4.126540e-05) L2 error at time of violation: 0.0523194 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004041 Theoretial Max dt=0.012773 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s8k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 8 steps t=0.072000 (-1.680580e-02) L2 error at time of violation: 0.10026 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0085 ---POS Violated after 11 steps t=0.093500 (-5.922324e-03) L2 error at time of violation: 0.0961458 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00841 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00841-0.00726 (0.00115) Potential Increase in error ---POS Preserved --Testing dt=0.00842 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00842-0.00712 (0.0013) Potential Increase in error ---POS Preserved --Testing dt=0.00843 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00843-0.00698 (0.00145) Potential Increase in error ---POS Preserved --Testing dt=0.00844 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00844-0.00684 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.00845 ---POS Violated after 11 steps t=0.092950 (-6.319428e-04) L2 error at time of violation: 0.0903486 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008441-0.006826 (0.001615) Potential Increase in error ---POS Preserved --Testing dt=0.008442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008442-0.006812 (0.00163) Potential Increase in error ---POS Preserved --Testing dt=0.008443 ---POS Violated after 11 steps t=0.092873 (-6.398139e-05) L2 error at time of violation: 0.0903245 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008442 Theoretial Max dt=0.012773 results_pos = max_dt: 0.0084 s: 10 k: 8 p: [] dx: 0.0100 r: 1.2773 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 13 steps t=0.026000 (1.234071e-03) L2 error at time of violation: 0.0197971 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0017-0.0009 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0018-0.0008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0019-0.0015 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.002 ---TVD Violated after 13 steps t=0.026000 (1.234071e-03) L2 error at time of violation: 0.0197971 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00191-0.00085 (0.00106) Potential Increase in error ---TVD Preserved --Testing dt=0.00192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00192-0.0002 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00193-0.00148 (0.00045) Potential Increase in error ---TVD Preserved --Testing dt=0.00194 ---TVD Violated after 61 steps t=0.118340 (2.347011e-13) L2 error at time of violation: 0.0116364 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001931 ---TVD Violated after 63 steps t=0.121653 (1.125766e-13) L2 error at time of violation: 0.0210476 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001930 Theoretial Max dt=0.000291 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 ---POS Violated after 10 steps t=0.040000 (-2.605964e-02) L2 error at time of violation: 0.0516131 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0037 ---POS Violated after 10 steps t=0.037000 (-5.152169e-03) L2 error at time of violation: 0.0335869 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00361 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00361-0.00226 (0.00135) Potential Increase in error ---POS Preserved --Testing dt=0.00362 ---POS Violated after 13 steps t=0.047060 (-7.090958e-04) L2 error at time of violation: 0.0618146 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003611-0.002226 (0.001385) Potential Increase in error ---POS Preserved --Testing dt=0.003612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003612-0.002192 (0.00142) Potential Increase in error ---POS Preserved --Testing dt=0.003613 ---POS Violated after 13 steps t=0.046969 (-4.187852e-05) L2 error at time of violation: 0.0613724 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003612 Theoretial Max dt=0.000291 results_pos = max_dt: 0.0036 s: 3 k: 3 p: [] dx: 0.0100 r: 0.0291 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s9k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 9 steps t=0.045000 (4.527799e-03) L2 error at time of violation: 0.0791608 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 ---TVD Violated after 14 steps t=0.060200 (1.752329e-03) L2 error at time of violation: 0.070737 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00421-0.00291 (0.0013) Potential Increase in error ---TVD Preserved --Testing dt=0.00422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00422-0.00262 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.00423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00423-0.00233 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00424-0.00204 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.00425 ---TVD Violated after 14 steps t=0.059500 (1.614157e-04) L2 error at time of violation: 0.0630424 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004241-0.002011 (0.00223) Potential Increase in error ---TVD Preserved --Testing dt=0.004242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004242-0.001982 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.004243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004243-0.001953 (0.00229) Potential Increase in error ---TVD Preserved --Testing dt=0.004244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004244-0.001924 (0.00232) Potential Increase in error ---TVD Preserved --Testing dt=0.004245 ---TVD Violated after 14 steps t=0.059430 (1.210576e-05) L2 error at time of violation: 0.0630332 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004244 Theoretial Max dt=0.013317 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s9k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 11 steps t=0.099000 (-1.036338e-03) L2 error at time of violation: 0.107869 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0086 ---POS Violated after 12 steps t=0.103200 (-6.931309e-03) L2 error at time of violation: 0.103903 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00851-0.00586 (0.00265) Potential Increase in error ---POS Preserved --Testing dt=0.00852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00852-0.00572 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.00853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00853-0.00558 (0.00295) Potential Increase in error ---POS Preserved --Testing dt=0.00854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00854-0.00544 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.00855 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00855-0.0053 (0.00325) Potential Increase in error ---POS Preserved --Testing dt=0.00856 ---POS Violated after 12 steps t=0.102720 (-1.249029e-03) L2 error at time of violation: 0.103468 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008551 ---POS Violated after 12 steps t=0.102612 (-5.005717e-05) L2 error at time of violation: 0.103409 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008550 Theoretial Max dt=0.013317 results_pos = max_dt: 0.0085 s: 10 k: 9 p: [] dx: 0.0100 r: 1.3317 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 10 steps t=0.050000 (1.193796e-04) L2 error at time of violation: 0.0391673 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 ---TVD Violated after 15 steps t=0.069000 (4.525269e-08) L2 error at time of violation: 0.0234075 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00451-0.00323 (0.00128) Potential Increase in error ---TVD Preserved --Testing dt=0.00452 ---TVD Violated after 20 steps t=0.090400 (7.483791e-12) L2 error at time of violation: 0.017627 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004511 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004511-0.003203 (0.001308) Potential Increase in error ---TVD Preserved --Testing dt=0.004512 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004512-0.003176 (0.001336) Potential Increase in error ---TVD Preserved --Testing dt=0.004513 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004513-0.003149 (0.001364) Potential Increase in error ---TVD Preserved --Testing dt=0.004514 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004514-0.003122 (0.001392) Potential Increase in error ---TVD Preserved --Testing dt=0.004515 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004515-0.003095 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.004516 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004516-0.003068 (0.001448) Potential Increase in error ---TVD Preserved --Testing dt=0.004517 ---TVD Violated after 20 steps t=0.090340 (1.882050e-12) L2 error at time of violation: 0.017664 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004516 Theoretial Max dt=0.013313 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 5 steps t=0.050000 (-4.845088e-03) L2 error at time of violation: 0.0824214 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 ---POS Violated after 11 steps t=0.101200 (-1.052290e-03) L2 error at time of violation: 0.0675841 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00911-0.00657 (0.00254) Potential Increase in error ---POS Preserved --Testing dt=0.00912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00912-0.00644 (0.00268) Potential Increase in error ---POS Preserved --Testing dt=0.00913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00913-0.00631 (0.00282) Potential Increase in error ---POS Preserved --Testing dt=0.00914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00914-0.00618 (0.00296) Potential Increase in error ---POS Preserved --Testing dt=0.00915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00915-0.00605 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.00916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00916-0.00592 (0.00324) Potential Increase in error ---POS Preserved --Testing dt=0.00917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00917-0.00579 (0.00338) Potential Increase in error ---POS Preserved --Testing dt=0.00918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00918-0.00566 (0.00352) Potential Increase in error ---POS Preserved --Testing dt=0.00919 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00919-0.00553 (0.00366) Potential Increase in error ---POS Preserved --Testing dt=0.0092 ---POS Violated after 11 steps t=0.101200 (-1.052290e-03) L2 error at time of violation: 0.0675841 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009191-0.005517 (0.003674) Potential Increase in error ---POS Preserved --Testing dt=0.009192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009192-0.005504 (0.003688) Potential Increase in error ---POS Preserved --Testing dt=0.009193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009193-0.005491 (0.003702) Potential Increase in error ---POS Preserved --Testing dt=0.009194 ---POS Violated after 11 steps t=0.101134 (-5.772256e-05) L2 error at time of violation: 0.0674822 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009193 Theoretial Max dt=0.013313 results_pos = max_dt: 0.0092 s: 7 k: 5 p: [] dx: 0.0100 r: 1.3313 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 3 steps t=0.036000 (9.062707e-04) L2 error at time of violation: 0.0685047 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 3 steps t=0.036000 (9.062707e-04) L2 error at time of violation: 0.0685047 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01191-0.0059 (0.00601) Potential Increase in error ---TVD Preserved --Testing dt=0.01192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01192-0.0058 (0.00612) Potential Increase in error ---TVD Preserved --Testing dt=0.01193 ---TVD Violated after 6 steps t=0.071580 (1.289225e-08) L2 error at time of violation: 0.0394877 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011921-0.00579 (0.006131) Potential Increase in error ---TVD Preserved --Testing dt=0.011922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011922-0.00578 (0.006142) Potential Increase in error ---TVD Preserved --Testing dt=0.011923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011923-0.00577 (0.006153) Potential Increase in error ---TVD Preserved --Testing dt=0.011924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011924-0.00576 (0.006164) Potential Increase in error ---TVD Preserved --Testing dt=0.011925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011925-0.00575 (0.006175) Potential Increase in error ---TVD Preserved --Testing dt=0.011926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011926-0.00574 (0.006186) Potential Increase in error ---TVD Preserved --Testing dt=0.011927 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011927-0.00573 (0.006197) Potential Increase in error ---TVD Preserved --Testing dt=0.011928 ---TVD Violated after 6 steps t=0.071568 (1.677486e-09) L2 error at time of violation: 0.0394976 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011927 Theoretial Max dt=0.035794 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 3 steps t=0.075000 (-1.557654e-02) L2 error at time of violation: 0.101036 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 3 steps t=0.072900 (-1.679597e-03) L2 error at time of violation: 0.0947829 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 ---POS Violated after 3 steps t=0.072630 (-1.111239e-04) L2 error at time of violation: 0.0946785 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024201-0.003995 (0.020206) Potential Increase in error ---POS Preserved --Testing dt=0.024202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024202-0.00399 (0.020212) Potential Increase in error ---POS Preserved --Testing dt=0.024203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024203-0.003985 (0.020218) Potential Increase in error ---POS Preserved --Testing dt=0.024204 ---POS Violated after 3 steps t=0.072612 (-8.817777e-06) L2 error at time of violation: 0.0946719 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024203 Theoretial Max dt=0.035794 results_pos = max_dt: 0.0242 s: 8 k: 3 p: [] dx: 0.0100 r: 3.5794 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 6 steps t=0.066000 (1.188780e-04) L2 error at time of violation: 0.0877078 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 ---TVD Violated after 11 steps t=0.113300 (2.066534e-03) L2 error at time of violation: 0.0521931 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01021-0.00248 (0.00773) Potential Increase in error ---TVD Preserved --Testing dt=0.01022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01022-0.00236 (0.00786) Potential Increase in error ---TVD Preserved --Testing dt=0.01023 ---TVD Violated after 11 steps t=0.112530 (1.022093e-03) L2 error at time of violation: 0.0536007 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010221-0.002348 (0.007873) Potential Increase in error ---TVD Preserved --Testing dt=0.010222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010222-0.002336 (0.007886) Potential Increase in error ---TVD Preserved --Testing dt=0.010223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010223-0.002324 (0.007899) Potential Increase in error ---TVD Preserved --Testing dt=0.010224 ---TVD Violated after 11 steps t=0.112464 (8.339727e-05) L2 error at time of violation: 0.0537095 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010223 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-4.948469e-01) L2 error at time of violation: 0.178029 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-3.975130e-01) L2 error at time of violation: 0.174079 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-3.881521e-01) L2 error at time of violation: 0.173736 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-3.872204e-01) L2 error at time of violation: 0.173703 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0320 s: 6 k: 5 p: [] dx: 0.0100 r: 3.7767 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 5 steps t=0.050000 (1.476369e-04) L2 error at time of violation: 0.0468865 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 ---TVD Violated after 5 steps t=0.047000 (2.531597e-05) L2 error at time of violation: 0.050124 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00931 ---TVD Violated after 5 steps t=0.046550 (2.066943e-06) L2 error at time of violation: 0.0391222 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009301 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009301-0.004087 (0.005214) Potential Increase in error ---TVD Preserved --Testing dt=0.009302 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009302-0.004074 (0.005228) Potential Increase in error ---TVD Preserved --Testing dt=0.009303 ---TVD Violated after 5 steps t=0.046515 (2.136252e-07) L2 error at time of violation: 0.0391426 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009302 Theoretial Max dt=0.029833 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 5 steps t=0.100000 (-4.402333e-03) L2 error at time of violation: 0.108501 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 ---POS Violated after 5 steps t=0.097000 (-3.028123e-03) L2 error at time of violation: 0.105955 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01931-0.00914 (0.01017) Potential Increase in error ---POS Preserved --Testing dt=0.01932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01932-0.00908 (0.01024) Potential Increase in error ---POS Preserved --Testing dt=0.01933 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01933-0.00902 (0.01031) Potential Increase in error ---POS Preserved --Testing dt=0.01934 ---POS Violated after 5 steps t=0.096700 (-6.424459e-05) L2 error at time of violation: 0.105262 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019331-0.009014 (0.010317) Potential Increase in error ---POS Preserved --Testing dt=0.019332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019332-0.009008 (0.010324) Potential Increase in error ---POS Preserved --Testing dt=0.019333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019333-0.009002 (0.010331) Potential Increase in error ---POS Preserved --Testing dt=0.019334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019334-0.008996 (0.010338) Potential Increase in error ---POS Preserved --Testing dt=0.019335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019335-0.00899 (0.010345) Potential Increase in error ---POS Preserved --Testing dt=0.019336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019336-0.008984 (0.010352) Potential Increase in error ---POS Preserved --Testing dt=0.019337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019337-0.008978 (0.010359) Potential Increase in error ---POS Preserved --Testing dt=0.019338 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019338-0.008972 (0.010366) Potential Increase in error ---POS Preserved --Testing dt=0.019339 ---POS Violated after 5 steps t=0.096695 (-1.043968e-05) L2 error at time of violation: 0.105251 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019338 Theoretial Max dt=0.029833 results_pos = max_dt: 0.0193 s: 7 k: 3 p: [] dx: 0.0100 r: 2.9833 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK4: Classic 4th Order Runge-Kutta > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Preserved --Testing dt=0.003 ---TVD Preserved --Testing dt=0.004 ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Preserved --Testing dt=0.007 ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 1 steps t=0.008000 (5.110048e-03) L2 error at time of violation: 0.0232923 TV Norm History: 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 ---TVD Preserved --Testing dt=0.0072 ---TVD Preserved --Testing dt=0.0073 ---TVD Preserved --Testing dt=0.0074 ---TVD Preserved --Testing dt=0.0075 ---TVD Violated after 4 steps t=0.030000 (3.703437e-03) L2 error at time of violation: 0.0161972 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00741 ---TVD Violated after 7 steps t=0.051870 (8.477770e-04) L2 error at time of violation: 0.0215619 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007401 ---TVD Preserved --Testing dt=0.007402 ---TVD Preserved --Testing dt=0.007403 ---TVD Preserved --Testing dt=0.007404 ---TVD Violated after 7 steps t=0.051828 (1.077421e-04) L2 error at time of violation: 0.0216173 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007403 Theoretial Max dt=0.000000 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK4: Classic 4th Order Runge-Kutta > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---POS Preserved --Testing dt=0.003 ---POS Preserved --Testing dt=0.004 ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Preserved --Testing dt=0.007 ---POS Preserved --Testing dt=0.008 ---POS Preserved --Testing dt=0.009 ---POS Preserved --Testing dt=0.01 ---POS Preserved --Testing dt=0.011 ---POS Preserved --Testing dt=0.012 ---POS Preserved --Testing dt=0.013 ---POS Violated after 1 steps t=0.013000 (-3.865197e-02) L2 error at time of violation: 0.0382 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 ---POS Violated after 10 steps t=0.121000 (-1.006542e-02) L2 error at time of violation: 0.0461059 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01201 ---POS Preserved --Testing dt=0.01202 ---POS Preserved --Testing dt=0.01203 ---POS Preserved --Testing dt=0.01204 ---POS Preserved --Testing dt=0.01205 ---POS Preserved --Testing dt=0.01206 ---POS Preserved --Testing dt=0.01207 ---POS Preserved --Testing dt=0.01208 ---POS Preserved --Testing dt=0.01209 ---POS Violated after 9 steps t=0.108810 (-2.100393e-03) L2 error at time of violation: 0.0451583 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012081 ---POS Preserved --Testing dt=0.012082 ---POS Preserved --Testing dt=0.012083 ---POS Preserved --Testing dt=0.012084 ---POS Preserved --Testing dt=0.012085 ---POS Preserved --Testing dt=0.012086 ---POS Preserved --Testing dt=0.012087 ---POS Preserved --Testing dt=0.012088 ---POS Preserved --Testing dt=0.012089 ---POS Preserved --Testing dt=0.01209 ---POS Violated after 9 steps t=0.108810 (-2.100393e-03) L2 error at time of violation: 0.0451583 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012089 Theoretial Max dt=0.000000 results_pos = max_dt: 0.0121 s: [] k: 1 p: 4 dx: 0.0100 r: 0 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 9 steps t=0.027000 (1.400060e-02) L2 error at time of violation: 0.0429353 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0025 ---TVD Preserved --Testing dt=0.0026 ---TVD Violated after 15 steps t=0.039000 (2.435928e-03) L2 error at time of violation: 0.0244336 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00251-0.00201 (0.0005) Potential Increase in error ---TVD Preserved --Testing dt=0.00252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00252-0.00152 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00253-0.00103 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.00254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00254-0.00054 (0.002) Potential Increase in error ---TVD Preserved --Testing dt=0.00255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00255-5e-05 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.00256 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00256-0.00212 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00257 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00257-0.00164 (0.00093) Potential Increase in error ---TVD Preserved --Testing dt=0.00258 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00258-0.00116 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00259 ---TVD Violated after 15 steps t=0.038850 (1.153365e-03) L2 error at time of violation: 0.0239867 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002581-0.001112 (0.001469) Potential Increase in error ---TVD Preserved --Testing dt=0.002582 ---TVD Violated after 15 steps t=0.038730 (4.746455e-05) L2 error at time of violation: 0.0233174 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002581 Theoretial Max dt=0.007928 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Violated after 5 steps t=0.030000 (-5.256033e-02) L2 error at time of violation: 0.0683149 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0055 ---POS Violated after 5 steps t=0.027500 (-3.108109e-03) L2 error at time of violation: 0.0693606 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00541 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00541-0.00057 (0.00484) Potential Increase in error ---POS Preserved --Testing dt=0.00542 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00542-0.00034 (0.00508) Potential Increase in error ---POS Preserved --Testing dt=0.00543 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00543-0.00011 (0.00532) Potential Increase in error ---POS Preserved --Testing dt=0.00544 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00544-0.00532 (0.00012) Potential Increase in error ---POS Preserved --Testing dt=0.00545 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00545-0.0051 (0.00035) Potential Increase in error ---POS Preserved --Testing dt=0.00546 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00546-0.00488 (0.00058) Potential Increase in error ---POS Preserved --Testing dt=0.00547 ---POS Violated after 5 steps t=0.027350 (-2.923650e-04) L2 error at time of violation: 0.0691733 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005461-0.004858 (0.000603) Potential Increase in error ---POS Preserved --Testing dt=0.005462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005462-0.004836 (0.000626) Potential Increase in error ---POS Preserved --Testing dt=0.005463 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005463-0.004814 (0.000649) Potential Increase in error ---POS Preserved --Testing dt=0.005464 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005464-0.004792 (0.000672) Potential Increase in error ---POS Preserved --Testing dt=0.005465 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005465-0.00477 (0.000695) Potential Increase in error ---POS Preserved --Testing dt=0.005466 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005466-0.004748 (0.000718) Potential Increase in error ---POS Preserved --Testing dt=0.005467 ---POS Violated after 5 steps t=0.027335 (-1.174863e-05) L2 error at time of violation: 0.0691547 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005466 Theoretial Max dt=0.007928 results_pos = max_dt: 0.0055 s: 2 k: 5 p: [] dx: 0.0100 r: 0.7928 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 7 steps t=0.028000 (3.215972e-03) L2 error at time of violation: 0.0375317 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 ---TVD Violated after 7 steps t=0.022400 (9.696363e-04) L2 error at time of violation: 0.032227 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00311-0.0006 (0.00251) Potential Increase in error ---TVD Preserved --Testing dt=0.00312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00312-0.0002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00313-0.00293 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.00314 ---TVD Violated after 7 steps t=0.021980 (3.437664e-05) L2 error at time of violation: 0.0329 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003131-0.002891 (0.00024) Potential Increase in error ---TVD Preserved --Testing dt=0.003132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003132-0.002852 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.003133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003133-0.002813 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.003134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003134-0.002774 (0.00036) Potential Increase in error ---TVD Preserved --Testing dt=0.003135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003135-0.002735 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.003136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003136-0.002696 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.003137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003137-0.002657 (0.00048) Potential Increase in error ---TVD Preserved --Testing dt=0.003138 ---TVD Violated after 7 steps t=0.021966 (3.061478e-07) L2 error at time of violation: 0.032924 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003137 Theoretial Max dt=0.011495 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 12 steps t=0.084000 (-4.308612e-02) L2 error at time of violation: 0.0707436 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 ---POS Violated after 20 steps t=0.124000 (-1.822220e-02) L2 error at time of violation: 0.0580283 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00611-0.0028 (0.00331) Potential Increase in error ---POS Preserved --Testing dt=0.00612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00612-0.0026 (0.00352) Potential Increase in error ---POS Preserved --Testing dt=0.00613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00613-0.0024 (0.00373) Potential Increase in error ---POS Preserved --Testing dt=0.00614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00614-0.0022 (0.00394) Potential Increase in error ---POS Preserved --Testing dt=0.00615 ---POS Violated after 20 steps t=0.123000 (-1.259875e-02) L2 error at time of violation: 0.0550049 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006141-0.00218 (0.003961) Potential Increase in error ---POS Preserved --Testing dt=0.006142 ---POS Violated after 20 steps t=0.122840 (-9.222177e-04) L2 error at time of violation: 0.0519478 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006141 Theoretial Max dt=0.011495 results_pos = max_dt: 0.0061 s: 2 k: 4 p: [] dx: 0.0100 r: 1.1495 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 4 steps t=0.024000 (2.339477e-03) L2 error at time of violation: 0.039067 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 ---TVD Violated after 5 steps t=0.026500 (1.870353e-03) L2 error at time of violation: 0.0311243 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00521 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00521-0.00517 (4e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00522 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00522-0.00494 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00523 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00523-0.00471 (0.00052) Potential Increase in error ---TVD Preserved --Testing dt=0.00524 ---TVD Violated after 19 steps t=0.099560 (4.711368e-04) L2 error at time of violation: 0.0180062 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005231-0.004687 (0.000544) Potential Increase in error ---TVD Preserved --Testing dt=0.005232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005232-0.004664 (0.000568) Potential Increase in error ---TVD Preserved --Testing dt=0.005233 ---TVD Violated after 19 steps t=0.099427 (3.858149e-05) L2 error at time of violation: 0.0175973 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005232 Theoretial Max dt=0.018435 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 6 steps t=0.072000 (-1.893654e-02) L2 error at time of violation: 0.0670188 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 ---POS Violated after 9 steps t=0.100800 (-9.102246e-07) L2 error at time of violation: 0.0548779 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01111-0.00279 (0.00832) Potential Increase in error ---POS Preserved --Testing dt=0.01112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01112-0.00268 (0.00844) Potential Increase in error ---POS Preserved --Testing dt=0.01113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01113-0.00257 (0.00856) Potential Increase in error ---POS Preserved --Testing dt=0.01114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01114-0.00246 (0.00868) Potential Increase in error ---POS Preserved --Testing dt=0.01115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01115-0.00235 (0.0088) Potential Increase in error ---POS Preserved --Testing dt=0.01116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01116-0.00224 (0.00892) Potential Increase in error ---POS Preserved --Testing dt=0.01117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01117-0.00213 (0.00904) Potential Increase in error ---POS Preserved --Testing dt=0.01118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01118-0.00202 (0.00916) Potential Increase in error ---POS Preserved --Testing dt=0.01119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01119-0.00191 (0.00928) Potential Increase in error ---POS Preserved --Testing dt=0.0112 ---POS Violated after 9 steps t=0.100800 (-9.102246e-07) L2 error at time of violation: 0.0548779 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011191-0.001899 (0.009292) Potential Increase in error ---POS Preserved --Testing dt=0.011192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011192-0.001888 (0.009304) Potential Increase in error ---POS Preserved --Testing dt=0.011193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011193-0.001877 (0.009316) Potential Increase in error ---POS Preserved --Testing dt=0.011194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011194-0.001866 (0.009328) Potential Increase in error ---POS Preserved --Testing dt=0.011195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011195-0.001855 (0.00934) Potential Increase in error ---POS Preserved --Testing dt=0.011196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011196-0.001844 (0.009352) Potential Increase in error ---POS Preserved --Testing dt=0.011197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011197-0.001833 (0.009364) Potential Increase in error ---POS Preserved --Testing dt=0.011198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011198-0.001822 (0.009376) Potential Increase in error ---POS Preserved --Testing dt=0.011199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011199-0.001811 (0.009388) Potential Increase in error ---POS Preserved --Testing dt=0.0112 ---POS Violated after 9 steps t=0.100800 (-9.102246e-07) L2 error at time of violation: 0.0548779 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011199 Theoretial Max dt=0.018435 results_pos = max_dt: 0.0112 s: 4 k: 3 p: [] dx: 0.0100 r: 1.8435 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 4 steps t=0.056000 (2.225903e-04) L2 error at time of violation: 0.0278279 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 ---TVD Violated after 4 steps t=0.052800 (2.682733e-07) L2 error at time of violation: 0.0204334 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01311-0.00701 (0.0061) Potential Increase in error ---TVD Preserved --Testing dt=0.01312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01312-0.00692 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.01313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01313-0.00683 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.01314 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01314-0.00674 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.01315 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01315-0.00665 (0.0065) Potential Increase in error ---TVD Preserved --Testing dt=0.01316 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01316-0.00656 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.01317 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01317-0.00647 (0.0067) Potential Increase in error ---TVD Preserved --Testing dt=0.01318 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01318-0.00638 (0.0068) Potential Increase in error ---TVD Preserved --Testing dt=0.01319 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01319-0.00629 (0.0069) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 ---TVD Violated after 4 steps t=0.052800 (2.682733e-07) L2 error at time of violation: 0.0204334 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013191-0.006281 (0.00691) Potential Increase in error ---TVD Preserved --Testing dt=0.013192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013192-0.006272 (0.00692) Potential Increase in error ---TVD Preserved --Testing dt=0.013193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013193-0.006263 (0.00693) Potential Increase in error ---TVD Preserved --Testing dt=0.013194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013194-0.006254 (0.00694) Potential Increase in error ---TVD Preserved --Testing dt=0.013195 ---TVD Violated after 4 steps t=0.052780 (3.343232e-08) L2 error at time of violation: 0.0204418 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013194 Theoretial Max dt=0.042544 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 4 steps t=0.112000 (-1.990448e-03) L2 error at time of violation: 0.0740892 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0166 (0.0105) Potential Increase in error ---POS Preserved --Testing dt=0.0272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0162 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0158 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0154 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.015 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.0276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0146 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0277-0.0142 (0.0135) Potential Increase in error ---POS Preserved --Testing dt=0.0278 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0278-0.0138 (0.014) Potential Increase in error ---POS Preserved --Testing dt=0.0279 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0279-0.0134 (0.0145) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 4 steps t=0.112000 (-1.990448e-03) L2 error at time of violation: 0.0740892 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02791 ---POS Violated after 4 steps t=0.111640 (-4.955843e-03) L2 error at time of violation: 0.0757204 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027901-0.013396 (0.014505) Potential Increase in error ---POS Preserved --Testing dt=0.027902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027902-0.013392 (0.01451) Potential Increase in error ---POS Preserved --Testing dt=0.027903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027903-0.013388 (0.014515) Potential Increase in error ---POS Preserved --Testing dt=0.027904 ---POS Violated after 4 steps t=0.111616 (-5.348774e-04) L2 error at time of violation: 0.0756758 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027903 Theoretial Max dt=0.042544 results_pos = max_dt: 0.0279 s: 10 k: 2 p: [] dx: 0.0100 r: 4.2544 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 5 steps t=0.085000 (1.748528e-02) L2 error at time of violation: 0.0890824 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0166 ---TVD Violated after 7 steps t=0.116200 (5.465038e-03) L2 error at time of violation: 0.0727389 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01651-0.00943 (0.00708) Potential Increase in error ---TVD Preserved --Testing dt=0.01652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01652-0.00936 (0.00716) Potential Increase in error ---TVD Preserved --Testing dt=0.01653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01653-0.00929 (0.00724) Potential Increase in error ---TVD Preserved --Testing dt=0.01654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01654-0.00922 (0.00732) Potential Increase in error ---TVD Preserved --Testing dt=0.01655 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01655-0.00915 (0.0074) Potential Increase in error ---TVD Preserved --Testing dt=0.01656 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01656-0.00908 (0.00748) Potential Increase in error ---TVD Preserved --Testing dt=0.01657 ---TVD Violated after 7 steps t=0.115990 (1.207250e-03) L2 error at time of violation: 0.0729114 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016561-0.009073 (0.007488) Potential Increase in error ---TVD Preserved --Testing dt=0.016562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016562-0.009066 (0.007496) Potential Increase in error ---TVD Preserved --Testing dt=0.016563 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016563-0.009059 (0.007504) Potential Increase in error ---TVD Preserved --Testing dt=0.016564 ---TVD Violated after 7 steps t=0.115948 (7.849584e-05) L2 error at time of violation: 0.0729475 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016563 Theoretial Max dt=0.045053 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---POS Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.04 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.04-0.005 (0.035) Potential Increase in error ---POS Preserved --Testing dt=0.041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.041-0.002 (0.039) Potential Increase in error ---POS Preserved --Testing dt=0.042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.042-0.041 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.043 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.172000 (-1.048622e+00) L2 error at time of violation: 0.250741 Refining dt search increment 0.001->0.0001 --Testing dt=0.0421 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.168400 (-9.270267e-01) L2 error at time of violation: 0.232909 Refining dt search increment 0.0001->1e-05 --Testing dt=0.04201 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.168040 (-9.146880e-01) L2 error at time of violation: 0.232117 Refining dt search increment 1e-05->1e-06 --Testing dt=0.042001 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 4 steps t=0.168004 (-9.134525e-01) L2 error at time of violation: 0.232039 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.042000 Theoretial Max dt=0.045053 results_pos = max_dt: 0.0420 s: 8 k: 4 p: [] dx: 0.0100 r: 4.5053 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 6 steps t=0.060000 (1.476367e-04) L2 error at time of violation: 0.0687458 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 ---TVD Violated after 6 steps t=0.056400 (2.531589e-05) L2 error at time of violation: 0.0638561 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00931 ---TVD Violated after 6 steps t=0.055860 (2.066861e-06) L2 error at time of violation: 0.0639266 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009301 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009301-0.004087 (0.005214) Potential Increase in error ---TVD Preserved --Testing dt=0.009302 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009302-0.004074 (0.005228) Potential Increase in error ---TVD Preserved --Testing dt=0.009303 ---TVD Violated after 6 steps t=0.055818 (2.135432e-07) L2 error at time of violation: 0.0639333 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009302 Theoretial Max dt=0.029833 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 6 steps t=0.120000 (-4.402244e-03) L2 error at time of violation: 0.122169 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 ---POS Violated after 6 steps t=0.116400 (-3.028126e-03) L2 error at time of violation: 0.116488 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01931-0.00914 (0.01017) Potential Increase in error ---POS Preserved --Testing dt=0.01932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01932-0.00908 (0.01024) Potential Increase in error ---POS Preserved --Testing dt=0.01933 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01933-0.00902 (0.01031) Potential Increase in error ---POS Preserved --Testing dt=0.01934 ---POS Violated after 6 steps t=0.116040 (-6.423410e-05) L2 error at time of violation: 0.115942 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019331-0.009014 (0.010317) Potential Increase in error ---POS Preserved --Testing dt=0.019332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019332-0.009008 (0.010324) Potential Increase in error ---POS Preserved --Testing dt=0.019333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019333-0.009002 (0.010331) Potential Increase in error ---POS Preserved --Testing dt=0.019334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019334-0.008996 (0.010338) Potential Increase in error ---POS Preserved --Testing dt=0.019335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019335-0.00899 (0.010345) Potential Increase in error ---POS Preserved --Testing dt=0.019336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019336-0.008984 (0.010352) Potential Increase in error ---POS Preserved --Testing dt=0.019337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019337-0.008978 (0.010359) Potential Increase in error ---POS Preserved --Testing dt=0.019338 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019338-0.008972 (0.010366) Potential Increase in error ---POS Preserved --Testing dt=0.019339 ---POS Violated after 6 steps t=0.116034 (-1.042921e-05) L2 error at time of violation: 0.115932 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019338 Theoretial Max dt=0.029833 results_pos = max_dt: 0.0193 s: 7 k: 4 p: [] dx: 0.0100 r: 2.9833 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 5 steps t=0.040000 (1.325032e-02) L2 error at time of violation: 0.022165 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 ---TVD Violated after 6 steps t=0.045600 (5.633792e-04) L2 error at time of violation: 0.0203748 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00751-0.00484 (0.00267) Potential Increase in error ---TVD Preserved --Testing dt=0.00752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00752-0.00468 (0.00284) Potential Increase in error ---TVD Preserved --Testing dt=0.00753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00753-0.00452 (0.00301) Potential Increase in error ---TVD Preserved --Testing dt=0.00754 ---TVD Violated after 7 steps t=0.052780 (3.437445e-04) L2 error at time of violation: 0.0186992 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007531-0.004504 (0.003027) Potential Increase in error ---TVD Preserved --Testing dt=0.007532 ---TVD Violated after 7 steps t=0.052724 (1.643983e-05) L2 error at time of violation: 0.0186632 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007531 Theoretial Max dt=0.023605 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 8 steps t=0.112000 (-2.270572e-02) L2 error at time of violation: 0.0568945 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0137-0.0017 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0138-0.0008 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0139 ---POS Violated after 8 steps t=0.111200 (-1.888975e-02) L2 error at time of violation: 0.0555243 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01381 ---POS Violated after 8 steps t=0.110480 (-4.366633e-03) L2 error at time of violation: 0.0510404 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013801 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013801-0.000791 (0.01301) Potential Increase in error ---POS Preserved --Testing dt=0.013802 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013802-0.000782 (0.01302) Potential Increase in error ---POS Preserved --Testing dt=0.013803 ---POS Violated after 8 steps t=0.110424 (-7.961962e-04) L2 error at time of violation: 0.0489136 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013802 Theoretial Max dt=0.023605 results_pos = max_dt: 0.0138 s: 5 k: 2 p: [] dx: 0.0100 r: 2.3605 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 4 steps t=0.056000 (3.188524e-03) L2 error at time of violation: 0.0625239 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 ---TVD Violated after 6 steps t=0.079800 (5.492757e-04) L2 error at time of violation: 0.0353484 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01321-0.00611 (0.0071) Potential Increase in error ---TVD Preserved --Testing dt=0.01322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01322-0.00602 (0.0072) Potential Increase in error ---TVD Preserved --Testing dt=0.01323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01323-0.00593 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.01324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01324-0.00584 (0.0074) Potential Increase in error ---TVD Preserved --Testing dt=0.01325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01325-0.00575 (0.0075) Potential Increase in error ---TVD Preserved --Testing dt=0.01326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01326-0.00566 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.01327 ---TVD Violated after 6 steps t=0.079620 (7.019878e-05) L2 error at time of violation: 0.0356096 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013261-0.005651 (0.00761) Potential Increase in error ---TVD Preserved --Testing dt=0.013262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013262-0.005642 (0.00762) Potential Increase in error ---TVD Preserved --Testing dt=0.013263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013263-0.005633 (0.00763) Potential Increase in error ---TVD Preserved --Testing dt=0.013264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013264-0.005624 (0.00764) Potential Increase in error ---TVD Preserved --Testing dt=0.013265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013265-0.005615 (0.00765) Potential Increase in error ---TVD Preserved --Testing dt=0.013266 ---TVD Violated after 6 steps t=0.079596 (1.623484e-06) L2 error at time of violation: 0.0356459 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013265 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 ---POS Violated after 3 steps t=0.090000 (-1.861224e-03) L2 error at time of violation: 0.105064 Refining dt search increment 0.001->0.0001 --Testing dt=0.0291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0291-0.0086 (0.0205) Potential Increase in error ---POS Preserved --Testing dt=0.0292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0292-0.0082 (0.021) Potential Increase in error ---POS Preserved --Testing dt=0.0293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0293-0.0078 (0.0215) Potential Increase in error ---POS Preserved --Testing dt=0.0294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0294-0.0074 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.0295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0295-0.007 (0.0225) Potential Increase in error ---POS Preserved --Testing dt=0.0296 ---POS Violated after 4 steps t=0.118400 (-3.509531e-02) L2 error at time of violation: 0.103456 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02951-0.00696 (0.02255) Potential Increase in error ---POS Preserved --Testing dt=0.02952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02952-0.00692 (0.0226) Potential Increase in error ---POS Preserved --Testing dt=0.02953 ---POS Violated after 4 steps t=0.118120 (-1.990674e-03) L2 error at time of violation: 0.102328 Refining dt search increment 1e-05->1e-06 --Testing dt=0.029521 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029521-0.006916 (0.022605) Potential Increase in error ---POS Preserved --Testing dt=0.029522 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029522-0.006912 (0.02261) Potential Increase in error ---POS Preserved --Testing dt=0.029523 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029523-0.006908 (0.022615) Potential Increase in error ---POS Preserved --Testing dt=0.029524 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029524-0.006904 (0.02262) Potential Increase in error ---POS Preserved --Testing dt=0.029525 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029525-0.0069 (0.022625) Potential Increase in error ---POS Preserved --Testing dt=0.029526 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029526-0.006896 (0.02263) Potential Increase in error ---POS Preserved --Testing dt=0.029527 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029527-0.006892 (0.022635) Potential Increase in error ---POS Preserved --Testing dt=0.029528 ---POS Violated after 4 steps t=0.118112 (-1.012400e-04) L2 error at time of violation: 0.102259 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.029527 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0295 s: 7 k: 3 p: [] dx: 0.0100 r: 4.4835 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 5 steps t=0.055000 (1.760925e-02) L2 error at time of violation: 0.0475059 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 ---TVD Violated after 6 steps t=0.061800 (5.315503e-06) L2 error at time of violation: 0.0410866 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01021-0.00248 (0.00773) Potential Increase in error ---TVD Preserved --Testing dt=0.01022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01022-0.00236 (0.00786) Potential Increase in error ---TVD Preserved --Testing dt=0.01023 ---TVD Violated after 6 steps t=0.061380 (2.583407e-07) L2 error at time of violation: 0.0411365 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010221-0.002348 (0.007873) Potential Increase in error ---TVD Preserved --Testing dt=0.010222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010222-0.002336 (0.007886) Potential Increase in error ---TVD Preserved --Testing dt=0.010223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010223-0.002324 (0.007899) Potential Increase in error ---TVD Preserved --Testing dt=0.010224 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010224-0.002312 (0.007912) Potential Increase in error ---TVD Preserved --Testing dt=0.010225 ---TVD Violated after 6 steps t=0.061350 (1.903468e-08) L2 error at time of violation: 0.0411396 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010224 Theoretial Max dt=0.020010 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 6 steps t=0.102000 (-4.354561e-02) L2 error at time of violation: 0.0726775 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 ---POS Violated after 7 steps t=0.112700 (-7.422646e-03) L2 error at time of violation: 0.0635168 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01601-0.01293 (0.00308) Potential Increase in error ---POS Preserved --Testing dt=0.01602 ---POS Violated after 7 steps t=0.112140 (-5.271336e-04) L2 error at time of violation: 0.0626519 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016011-0.012923 (0.003088) Potential Increase in error ---POS Preserved --Testing dt=0.016012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016012-0.012916 (0.003096) Potential Increase in error ---POS Preserved --Testing dt=0.016013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016013-0.012909 (0.003104) Potential Increase in error ---POS Preserved --Testing dt=0.016014 ---POS Violated after 7 steps t=0.112098 (-7.118014e-07) L2 error at time of violation: 0.0625892 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016013 Theoretial Max dt=0.020010 results_pos = max_dt: 0.0160 s: 10 k: 3 p: [] dx: 0.0100 r: 2.0010 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k9p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 12 steps t=0.084000 (6.448915e-10) L2 error at time of violation: 0.0238774 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 ---TVD Violated after 15 steps t=0.100500 (2.966960e-12) L2 error at time of violation: 0.0212958 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00661-0.00602 (0.00059) Potential Increase in error ---TVD Preserved --Testing dt=0.00662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00662-0.00584 (0.00078) Potential Increase in error ---TVD Preserved --Testing dt=0.00663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00663-0.00566 (0.00097) Potential Increase in error ---TVD Preserved --Testing dt=0.00664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00664-0.00548 (0.00116) Potential Increase in error ---TVD Preserved --Testing dt=0.00665 ---TVD Violated after 16 steps t=0.106400 (1.165734e-13) L2 error at time of violation: 0.0202635 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006641-0.005462 (0.001179) Potential Increase in error ---TVD Preserved --Testing dt=0.006642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006642-0.005444 (0.001198) Potential Increase in error ---TVD Preserved --Testing dt=0.006643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006643-0.005426 (0.001217) Potential Increase in error ---TVD Preserved --Testing dt=0.006644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006644-0.005408 (0.001236) Potential Increase in error ---TVD Preserved --Testing dt=0.006645 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006645-0.00539 (0.001255) Potential Increase in error ---TVD Preserved --Testing dt=0.006646 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006646-0.005372 (0.001274) Potential Increase in error ---TVD Preserved --Testing dt=0.006647 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006647-0.005354 (0.001293) Potential Increase in error ---TVD Preserved --Testing dt=0.006648 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006648-0.005336 (0.001312) Potential Increase in error ---TVD Preserved --Testing dt=0.006649 ---TVD Violated after 16 steps t=0.106384 (1.003642e-13) L2 error at time of violation: 0.0202764 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006648 Theoretial Max dt=0.015895 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k9p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 4 steps t=0.060000 (-7.280992e-03) L2 error at time of violation: 0.0985235 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 ---POS Violated after 5 steps t=0.072000 (-4.621307e-04) L2 error at time of violation: 0.0779832 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01431 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01431-0.01052 (0.00379) Potential Increase in error ---POS Preserved --Testing dt=0.01432 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01432-0.01044 (0.00388) Potential Increase in error ---POS Preserved --Testing dt=0.01433 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01433-0.01036 (0.00397) Potential Increase in error ---POS Preserved --Testing dt=0.01434 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01434-0.01028 (0.00406) Potential Increase in error ---POS Preserved --Testing dt=0.01435 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01435-0.0102 (0.00415) Potential Increase in error ---POS Preserved --Testing dt=0.01436 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01436-0.01012 (0.00424) Potential Increase in error ---POS Preserved --Testing dt=0.01437 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01437-0.01004 (0.00433) Potential Increase in error ---POS Preserved --Testing dt=0.01438 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01438-0.00996 (0.00442) Potential Increase in error ---POS Preserved --Testing dt=0.01439 ---POS Violated after 5 steps t=0.071950 (-3.547539e-06) L2 error at time of violation: 0.0780012 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014381-0.009952 (0.004429) Potential Increase in error ---POS Preserved --Testing dt=0.014382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014382-0.009944 (0.004438) Potential Increase in error ---POS Preserved --Testing dt=0.014383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014383-0.009936 (0.004447) Potential Increase in error ---POS Preserved --Testing dt=0.014384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014384-0.009928 (0.004456) Potential Increase in error ---POS Preserved --Testing dt=0.014385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014385-0.00992 (0.004465) Potential Increase in error ---POS Preserved --Testing dt=0.014386 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014386-0.009912 (0.004474) Potential Increase in error ---POS Preserved --Testing dt=0.014387 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014387-0.009904 (0.004483) Potential Increase in error ---POS Preserved --Testing dt=0.014388 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014388-0.009896 (0.004492) Potential Increase in error ---POS Preserved --Testing dt=0.014389 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014389-0.009888 (0.004501) Potential Increase in error ---POS Preserved --Testing dt=0.01439 ---POS Violated after 5 steps t=0.071950 (-3.547539e-06) L2 error at time of violation: 0.0780012 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014389 Theoretial Max dt=0.015895 results_pos = max_dt: 0.0144 s: 9 k: 4 p: [] dx: 0.0100 r: 1.5895 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 7 steps t=0.063000 (5.464599e-03) L2 error at time of violation: 0.0759226 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 ---TVD Violated after 8 steps t=0.064800 (1.612894e-06) L2 error at time of violation: 0.0643098 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00801 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00801-0.00485 (0.00316) Potential Increase in error ---TVD Preserved --Testing dt=0.00802 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00802-0.0047 (0.00332) Potential Increase in error ---TVD Preserved --Testing dt=0.00803 ---TVD Violated after 8 steps t=0.064240 (1.712863e-07) L2 error at time of violation: 0.0647428 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008021-0.004685 (0.003336) Potential Increase in error ---TVD Preserved --Testing dt=0.008022 ---TVD Violated after 8 steps t=0.064176 (6.633883e-09) L2 error at time of violation: 0.0647953 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008021 Theoretial Max dt=0.024658 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 5 steps t=0.085000 (-6.741081e-03) L2 error at time of violation: 0.118367 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0167 ---POS Violated after 5 steps t=0.083500 (-2.019079e-04) L2 error at time of violation: 0.118217 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01661-0.00873 (0.00788) Potential Increase in error ---POS Preserved --Testing dt=0.01662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01662-0.00866 (0.00796) Potential Increase in error ---POS Preserved --Testing dt=0.01663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01663-0.00859 (0.00804) Potential Increase in error ---POS Preserved --Testing dt=0.01664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01664-0.00852 (0.00812) Potential Increase in error ---POS Preserved --Testing dt=0.01665 ---POS Violated after 6 steps t=0.099900 (-1.019797e-04) L2 error at time of violation: 0.109058 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016641-0.008513 (0.008128) Potential Increase in error ---POS Preserved --Testing dt=0.016642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016642-0.008506 (0.008136) Potential Increase in error ---POS Preserved --Testing dt=0.016643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016643-0.008499 (0.008144) Potential Increase in error ---POS Preserved --Testing dt=0.016644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016644-0.008492 (0.008152) Potential Increase in error ---POS Preserved --Testing dt=0.016645 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016645-0.008485 (0.00816) Potential Increase in error ---POS Preserved --Testing dt=0.016646 ---POS Violated after 6 steps t=0.099876 (-1.604711e-05) L2 error at time of violation: 0.109065 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016645 Theoretial Max dt=0.024658 results_pos = max_dt: 0.0166 s: 7 k: 5 p: [] dx: 0.0100 r: 2.4658 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 4 steps t=0.048000 (6.072396e-03) L2 error at time of violation: 0.0868621 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 ---TVD Violated after 4 steps t=0.046000 (3.156761e-04) L2 error at time of violation: 0.0811638 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01141-0.0109 (0.00051) Potential Increase in error ---TVD Preserved --Testing dt=0.01142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01142-0.0108 (0.00062) Potential Increase in error ---TVD Preserved --Testing dt=0.01143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01143-0.0107 (0.00073) Potential Increase in error ---TVD Preserved --Testing dt=0.01144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01144-0.0106 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.01145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01145-0.0105 (0.00095) Potential Increase in error ---TVD Preserved --Testing dt=0.01146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01146-0.0104 (0.00106) Potential Increase in error ---TVD Preserved --Testing dt=0.01147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01147-0.0103 (0.00117) Potential Increase in error ---TVD Preserved --Testing dt=0.01148 ---TVD Violated after 4 steps t=0.045920 (7.909338e-05) L2 error at time of violation: 0.0811889 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011471 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011471-0.01029 (0.001181) Potential Increase in error ---TVD Preserved --Testing dt=0.011472 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011472-0.01028 (0.001192) Potential Increase in error ---TVD Preserved --Testing dt=0.011473 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011473-0.01027 (0.001203) Potential Increase in error ---TVD Preserved --Testing dt=0.011474 ---TVD Violated after 4 steps t=0.045896 (7.921783e-06) L2 error at time of violation: 0.0811965 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011473 Theoretial Max dt=0.035643 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 4 steps t=0.100000 (-3.704363e-03) L2 error at time of violation: 0.127554 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0243-0.0035 (0.0208) Potential Increase in error ---POS Preserved --Testing dt=0.0244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0244-0.003 (0.0214) Potential Increase in error ---POS Preserved --Testing dt=0.0245 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0245-0.0025 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.0246 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0246-0.002 (0.0226) Potential Increase in error ---POS Preserved --Testing dt=0.0247 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0247-0.0015 (0.0232) Potential Increase in error ---POS Preserved --Testing dt=0.0248 ---POS Violated after 4 steps t=0.099200 (-1.770183e-04) L2 error at time of violation: 0.123417 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02471 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02471-0.00145 (0.02326) Potential Increase in error ---POS Preserved --Testing dt=0.02472 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02472-0.0014 (0.02332) Potential Increase in error ---POS Preserved --Testing dt=0.02473 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02473-0.00135 (0.02338) Potential Increase in error ---POS Preserved --Testing dt=0.02474 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02474-0.0013 (0.02344) Potential Increase in error ---POS Preserved --Testing dt=0.02475 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02475-0.00125 (0.0235) Potential Increase in error ---POS Preserved --Testing dt=0.02476 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02476-0.0012 (0.02356) Potential Increase in error ---POS Preserved --Testing dt=0.02477 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02477-0.00115 (0.02362) Potential Increase in error ---POS Preserved --Testing dt=0.02478 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02478-0.0011 (0.02368) Potential Increase in error ---POS Preserved --Testing dt=0.02479 ---POS Violated after 4 steps t=0.099160 (-6.466764e-08) L2 error at time of violation: 0.123412 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024781-0.001095 (0.023686) Potential Increase in error ---POS Preserved --Testing dt=0.024782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024782-0.00109 (0.023692) Potential Increase in error ---POS Preserved --Testing dt=0.024783 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024783-0.001085 (0.023698) Potential Increase in error ---POS Preserved --Testing dt=0.024784 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024784-0.00108 (0.023704) Potential Increase in error ---POS Preserved --Testing dt=0.024785 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024785-0.001075 (0.02371) Potential Increase in error ---POS Preserved --Testing dt=0.024786 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024786-0.00107 (0.023716) Potential Increase in error ---POS Preserved --Testing dt=0.024787 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024787-0.001065 (0.023722) Potential Increase in error ---POS Preserved --Testing dt=0.024788 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024788-0.00106 (0.023728) Potential Increase in error ---POS Preserved --Testing dt=0.024789 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024789-0.001055 (0.023734) Potential Increase in error ---POS Preserved --Testing dt=0.02479 ---POS Violated after 4 steps t=0.099160 (-6.466765e-08) L2 error at time of violation: 0.123412 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024789 Theoretial Max dt=0.035643 results_pos = max_dt: 0.0248 s: 10 k: 4 p: [] dx: 0.0100 r: 3.5643 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 4 steps t=0.048000 (6.205437e-04) L2 error at time of violation: 0.0871332 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 ---TVD Violated after 4 steps t=0.047200 (1.212265e-04) L2 error at time of violation: 0.0872639 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01171-0.0079 (0.00381) Potential Increase in error ---TVD Preserved --Testing dt=0.01172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01172-0.0078 (0.00392) Potential Increase in error ---TVD Preserved --Testing dt=0.01173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01173-0.0077 (0.00403) Potential Increase in error ---TVD Preserved --Testing dt=0.01174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01174-0.0076 (0.00414) Potential Increase in error ---TVD Preserved --Testing dt=0.01175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01175-0.0075 (0.00425) Potential Increase in error ---TVD Preserved --Testing dt=0.01176 ---TVD Violated after 4 steps t=0.047040 (1.947563e-06) L2 error at time of violation: 0.087291 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011751-0.00749 (0.004261) Potential Increase in error ---TVD Preserved --Testing dt=0.011752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011752-0.00748 (0.004272) Potential Increase in error ---TVD Preserved --Testing dt=0.011753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011753-0.00747 (0.004283) Potential Increase in error ---TVD Preserved --Testing dt=0.011754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011754-0.00746 (0.004294) Potential Increase in error ---TVD Preserved --Testing dt=0.011755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011755-0.00745 (0.004305) Potential Increase in error ---TVD Preserved --Testing dt=0.011756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011756-0.00744 (0.004316) Potential Increase in error ---TVD Preserved --Testing dt=0.011757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011757-0.00743 (0.004327) Potential Increase in error ---TVD Preserved --Testing dt=0.011758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011758-0.00742 (0.004338) Potential Increase in error ---TVD Preserved --Testing dt=0.011759 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011759-0.00741 (0.004349) Potential Increase in error ---TVD Preserved --Testing dt=0.01176 ---TVD Violated after 4 steps t=0.047040 (1.947563e-06) L2 error at time of violation: 0.087291 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011759 Theoretial Max dt=0.043098 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 ---POS Violated after 4 steps t=0.116000 (-2.802940e-03) L2 error at time of violation: 0.136335 Refining dt search increment 0.001->0.0001 --Testing dt=0.0281 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0281-0.0126 (0.0155) Potential Increase in error ---POS Preserved --Testing dt=0.0282 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0282-0.0122 (0.016) Potential Increase in error ---POS Preserved --Testing dt=0.0283 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0283-0.0118 (0.0165) Potential Increase in error ---POS Preserved --Testing dt=0.0284 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0284-0.0114 (0.017) Potential Increase in error ---POS Preserved --Testing dt=0.0285 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0285-0.011 (0.0175) Potential Increase in error ---POS Preserved --Testing dt=0.0286 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0286-0.0106 (0.018) Potential Increase in error ---POS Preserved --Testing dt=0.0287 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0287-0.0102 (0.0185) Potential Increase in error ---POS Preserved --Testing dt=0.0288 ---POS Violated after 4 steps t=0.115200 (-2.902522e-04) L2 error at time of violation: 0.13598 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02871-0.01016 (0.01855) Potential Increase in error ---POS Preserved --Testing dt=0.02872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02872-0.01012 (0.0186) Potential Increase in error ---POS Preserved --Testing dt=0.02873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02873-0.01008 (0.01865) Potential Increase in error ---POS Preserved --Testing dt=0.02874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02874-0.01004 (0.0187) Potential Increase in error ---POS Preserved --Testing dt=0.02875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02875-0.01 (0.01875) Potential Increase in error ---POS Preserved --Testing dt=0.02876 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02876-0.00996 (0.0188) Potential Increase in error ---POS Preserved --Testing dt=0.02877 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02877-0.00992 (0.01885) Potential Increase in error ---POS Preserved --Testing dt=0.02878 ---POS Violated after 4 steps t=0.115120 (-3.701392e-05) L2 error at time of violation: 0.135946 Refining dt search increment 1e-05->1e-06 --Testing dt=0.028771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028771-0.009916 (0.018855) Potential Increase in error ---POS Preserved --Testing dt=0.028772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028772-0.009912 (0.01886) Potential Increase in error ---POS Preserved --Testing dt=0.028773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028773-0.009908 (0.018865) Potential Increase in error ---POS Preserved --Testing dt=0.028774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028774-0.009904 (0.01887) Potential Increase in error ---POS Preserved --Testing dt=0.028775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028775-0.0099 (0.018875) Potential Increase in error ---POS Preserved --Testing dt=0.028776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028776-0.009896 (0.01888) Potential Increase in error ---POS Preserved --Testing dt=0.028777 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028777-0.009892 (0.018885) Potential Increase in error ---POS Preserved --Testing dt=0.028778 ---POS Violated after 4 steps t=0.115112 (-1.166926e-05) L2 error at time of violation: 0.135943 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.028777 Theoretial Max dt=0.043098 results_pos = max_dt: 0.0288 s: 10 k: 4 p: [] dx: 0.0100 r: 4.3098 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 11 steps t=0.044000 (4.123547e-06) L2 error at time of violation: 0.0185499 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0037-0.0029 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0038-0.0034 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0039 ---TVD Violated after 14 steps t=0.054600 (1.157794e-07) L2 error at time of violation: 0.0207509 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00381-0.00308 (0.00073) Potential Increase in error ---TVD Preserved --Testing dt=0.00382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00382-0.00276 (0.00106) Potential Increase in error ---TVD Preserved --Testing dt=0.00383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00383-0.00244 (0.00139) Potential Increase in error ---TVD Preserved --Testing dt=0.00384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00384-0.00212 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00385-0.0018 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00386 ---TVD Violated after 17 steps t=0.065620 (1.210247e-09) L2 error at time of violation: 0.0212169 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003851-0.001768 (0.002083) Potential Increase in error ---TVD Preserved --Testing dt=0.003852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003852-0.001736 (0.002116) Potential Increase in error ---TVD Preserved --Testing dt=0.003853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003853-0.001704 (0.002149) Potential Increase in error ---TVD Preserved --Testing dt=0.003854 ---TVD Violated after 17 steps t=0.065518 (1.288485e-10) L2 error at time of violation: 0.0208888 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003853 Theoretial Max dt=0.010373 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 8 steps t=0.064000 (-6.293077e-03) L2 error at time of violation: 0.0602367 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 ---POS Violated after 15 steps t=0.109500 (-5.275831e-03) L2 error at time of violation: 0.0458728 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00721 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00721-0.00243 (0.00478) Potential Increase in error ---POS Preserved --Testing dt=0.00722 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00722-0.00226 (0.00496) Potential Increase in error ---POS Preserved --Testing dt=0.00723 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00723-0.00209 (0.00514) Potential Increase in error ---POS Preserved --Testing dt=0.00724 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00724-0.00192 (0.00532) Potential Increase in error ---POS Preserved --Testing dt=0.00725 ---POS Violated after 15 steps t=0.108750 (-3.298121e-03) L2 error at time of violation: 0.0454359 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007241-0.001903 (0.005338) Potential Increase in error ---POS Preserved --Testing dt=0.007242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007242-0.001886 (0.005356) Potential Increase in error ---POS Preserved --Testing dt=0.007243 ---POS Violated after 15 steps t=0.108645 (-7.145258e-04) L2 error at time of violation: 0.0452939 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007242 Theoretial Max dt=0.010373 results_pos = max_dt: 0.0072 s: 7 k: 4 p: [] dx: 0.0100 r: 1.0373 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 27 steps t=0.081000 (7.871925e-12) L2 error at time of violation: 0.0137732 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0025 ---TVD Preserved --Testing dt=0.0026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0026-0.0002 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0027-0.0008 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0028-0.0018 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0029-0.0003 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 27 steps t=0.081000 (7.871703e-12) L2 error at time of violation: 0.0137732 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00291-0.00278 (0.00013) Potential Increase in error ---TVD Preserved --Testing dt=0.00292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00292-0.00236 (0.00056) Potential Increase in error ---TVD Preserved --Testing dt=0.00293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00293-0.00194 (0.00099) Potential Increase in error ---TVD Preserved --Testing dt=0.00294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00294-0.00152 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00295-0.0011 (0.00185) Potential Increase in error ---TVD Preserved --Testing dt=0.00296 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00296-0.00068 (0.00228) Potential Increase in error ---TVD Preserved --Testing dt=0.00297 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00297-0.00026 (0.00271) Potential Increase in error ---TVD Preserved --Testing dt=0.00298 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00298-0.00282 (0.00016) Potential Increase in error ---TVD Preserved --Testing dt=0.00299 ---TVD Violated after 29 steps t=0.086710 (8.835155e-13) L2 error at time of violation: 0.0117973 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002981-0.002779 (0.000202) Potential Increase in error ---TVD Preserved --Testing dt=0.002982 ---TVD Violated after 31 steps t=0.092442 (1.019185e-13) L2 error at time of violation: 0.0129627 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002981 Theoretial Max dt=0.007169 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 3 steps t=0.021000 (-1.605688e-02) L2 error at time of violation: 0.0540766 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---POS Preserved --Testing dt=0.0068 ---POS Violated after 3 steps t=0.020400 (-4.648205e-03) L2 error at time of violation: 0.0536345 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00671-0.00422 (0.00249) Potential Increase in error ---POS Preserved --Testing dt=0.00672 ---POS Violated after 3 steps t=0.020160 (-3.363722e-04) L2 error at time of violation: 0.0534932 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006711 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006711-0.004202 (0.002509) Potential Increase in error ---POS Preserved --Testing dt=0.006712 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006712-0.004184 (0.002528) Potential Increase in error ---POS Preserved --Testing dt=0.006713 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006713-0.004166 (0.002547) Potential Increase in error ---POS Preserved --Testing dt=0.006714 ---POS Violated after 3 steps t=0.020142 (-1.959894e-05) L2 error at time of violation: 0.0534834 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006713 Theoretial Max dt=0.007169 results_pos = max_dt: 0.0067 s: 4 k: 3 p: [] dx: 0.0100 r: 0.7169 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 ---TVD Violated after 4 steps t=0.076000 (5.319888e-03) L2 error at time of violation: 0.0736825 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---TVD Preserved --Testing dt=0.0186 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0186-0.0134 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0187 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0187-0.0128 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0188 ---TVD Violated after 4 steps t=0.075200 (2.228918e-03) L2 error at time of violation: 0.0745853 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01871-0.01274 (0.00597) Potential Increase in error ---TVD Preserved --Testing dt=0.01872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01872-0.01268 (0.00604) Potential Increase in error ---TVD Preserved --Testing dt=0.01873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01873-0.01262 (0.00611) Potential Increase in error ---TVD Preserved --Testing dt=0.01874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01874-0.01256 (0.00618) Potential Increase in error ---TVD Preserved --Testing dt=0.01875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01875-0.0125 (0.00625) Potential Increase in error ---TVD Preserved --Testing dt=0.01876 ---TVD Violated after 4 steps t=0.075040 (1.003586e-04) L2 error at time of violation: 0.074759 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018751-0.012494 (0.006257) Potential Increase in error ---TVD Preserved --Testing dt=0.018752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018752-0.012488 (0.006264) Potential Increase in error ---TVD Preserved --Testing dt=0.018753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018753-0.012482 (0.006271) Potential Increase in error ---TVD Preserved --Testing dt=0.018754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018754-0.012476 (0.006278) Potential Increase in error ---TVD Preserved --Testing dt=0.018755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018755-0.01247 (0.006285) Potential Increase in error ---TVD Preserved --Testing dt=0.018756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018756-0.012464 (0.006292) Potential Increase in error ---TVD Preserved --Testing dt=0.018757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018757-0.012458 (0.006299) Potential Increase in error ---TVD Preserved --Testing dt=0.018758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018758-0.012452 (0.006306) Potential Increase in error ---TVD Preserved --Testing dt=0.018759 ---TVD Violated after 4 steps t=0.075036 (4.832854e-05) L2 error at time of violation: 0.0747634 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018758 Theoretial Max dt=0.068274 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 ---POS Violated after 3 steps t=0.096000 (-6.130874e-03) L2 error at time of violation: 0.112012 Refining dt search increment 0.001->0.0001 --Testing dt=0.0311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0311-0.0006 (0.0305) Potential Increase in error ---POS Preserved --Testing dt=0.0312 ---POS Violated after 3 steps t=0.093600 (-5.593667e-04) L2 error at time of violation: 0.113772 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03111-0.00056 (0.03055) Potential Increase in error ---POS Preserved --Testing dt=0.03112 ---POS Violated after 3 steps t=0.093360 (-2.908194e-05) L2 error at time of violation: 0.113735 Refining dt search increment 1e-05->1e-06 --Testing dt=0.031111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031111-0.000556 (0.030555) Potential Increase in error ---POS Preserved --Testing dt=0.031112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031112-0.000552 (0.03056) Potential Increase in error ---POS Preserved --Testing dt=0.031113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031113-0.000548 (0.030565) Potential Increase in error ---POS Preserved --Testing dt=0.031114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031114-0.000544 (0.03057) Potential Increase in error ---POS Preserved --Testing dt=0.031115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031115-0.00054 (0.030575) Potential Increase in error ---POS Preserved --Testing dt=0.031116 ---POS Violated after 3 steps t=0.093348 (-2.750329e-06) L2 error at time of violation: 0.113734 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.031115 Theoretial Max dt=0.068274 results_pos = max_dt: 0.0311 s: 10 k: 3 p: [] dx: 0.0100 r: 6.8274 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 6 steps t=0.036000 (2.153789e-05) L2 error at time of violation: 0.032376 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0058-0.0032 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0059-0.0011 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 6 steps t=0.036000 (2.153789e-05) L2 error at time of violation: 0.032376 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00591-0.00089 (0.00502) Potential Increase in error ---TVD Preserved --Testing dt=0.00592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00592-0.00068 (0.00524) Potential Increase in error ---TVD Preserved --Testing dt=0.00593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00593-0.00047 (0.00546) Potential Increase in error ---TVD Preserved --Testing dt=0.00594 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00594-0.00026 (0.00568) Potential Increase in error ---TVD Preserved --Testing dt=0.00595 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00595-5e-05 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.00596 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00596-0.0058 (0.00016) Potential Increase in error ---TVD Preserved --Testing dt=0.00597 ---TVD Violated after 6 steps t=0.035820 (7.826617e-07) L2 error at time of violation: 0.0328362 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005961 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005961-0.00578 (0.000181) Potential Increase in error ---TVD Preserved --Testing dt=0.005962 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005962-0.00576 (0.000202) Potential Increase in error ---TVD Preserved --Testing dt=0.005963 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005963-0.00574 (0.000223) Potential Increase in error ---TVD Preserved --Testing dt=0.005964 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005964-0.00572 (0.000244) Potential Increase in error ---TVD Preserved --Testing dt=0.005965 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005965-0.0057 (0.000265) Potential Increase in error ---TVD Preserved --Testing dt=0.005966 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005966-0.00568 (0.000286) Potential Increase in error ---TVD Preserved --Testing dt=0.005967 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005967-0.00566 (0.000307) Potential Increase in error ---TVD Preserved --Testing dt=0.005968 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005968-0.00564 (0.000328) Potential Increase in error ---TVD Preserved --Testing dt=0.005969 ---TVD Violated after 6 steps t=0.035814 (7.529260e-08) L2 error at time of violation: 0.0328518 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005968 Theoretial Max dt=0.019262 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 10 steps t=0.120000 (-2.140871e-04) L2 error at time of violation: 0.0515665 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---POS Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 10 steps t=0.120000 (-2.140871e-04) L2 error at time of violation: 0.0515665 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01191-0.0059 (0.00601) Potential Increase in error ---POS Preserved --Testing dt=0.01192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01192-0.0058 (0.00612) Potential Increase in error ---POS Preserved --Testing dt=0.01193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01193-0.0057 (0.00623) Potential Increase in error ---POS Preserved --Testing dt=0.01194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01194-0.0056 (0.00634) Potential Increase in error ---POS Preserved --Testing dt=0.01195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01195-0.0055 (0.00645) Potential Increase in error ---POS Preserved --Testing dt=0.01196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01196-0.0054 (0.00656) Potential Increase in error ---POS Preserved --Testing dt=0.01197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01197-0.0053 (0.00667) Potential Increase in error ---POS Preserved --Testing dt=0.01198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01198-0.0052 (0.00678) Potential Increase in error ---POS Preserved --Testing dt=0.01199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01199-0.0051 (0.00689) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 10 steps t=0.120000 (-2.140871e-04) L2 error at time of violation: 0.0515665 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011991-0.00509 (0.006901) Potential Increase in error ---POS Preserved --Testing dt=0.011992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011992-0.00508 (0.006912) Potential Increase in error ---POS Preserved --Testing dt=0.011993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011993-0.00507 (0.006923) Potential Increase in error ---POS Preserved --Testing dt=0.011994 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011994-0.00506 (0.006934) Potential Increase in error ---POS Preserved --Testing dt=0.011995 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011995-0.00505 (0.006945) Potential Increase in error ---POS Preserved --Testing dt=0.011996 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011996-0.00504 (0.006956) Potential Increase in error ---POS Preserved --Testing dt=0.011997 ---POS Violated after 10 steps t=0.119970 (-1.166492e-05) L2 error at time of violation: 0.0515243 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011996 Theoretial Max dt=0.019262 results_pos = max_dt: 0.0120 s: 5 k: 3 p: [] dx: 0.0100 r: 1.9262 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s6k10p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 10 steps t=0.030000 (1.034644e-02) L2 error at time of violation: 0.0423943 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 ---TVD Violated after 28 steps t=0.067200 (9.535784e-09) L2 error at time of violation: 0.0267027 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00231-0.00026 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00232-0.00204 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00233-0.00151 (0.00082) Potential Increase in error ---TVD Preserved --Testing dt=0.00234 ---TVD Violated after 43 steps t=0.100620 (1.494360e-13) L2 error at time of violation: 0.0196505 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002331-0.001457 (0.000874) Potential Increase in error ---TVD Preserved --Testing dt=0.002332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002332-0.001404 (0.000928) Potential Increase in error ---TVD Preserved --Testing dt=0.002333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002333-0.001351 (0.000982) Potential Increase in error ---TVD Preserved --Testing dt=0.002334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002334-0.001298 (0.001036) Potential Increase in error ---TVD Preserved --Testing dt=0.002335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002335-0.001245 (0.00109) Potential Increase in error ---TVD Preserved --Testing dt=0.002336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002336-0.001192 (0.001144) Potential Increase in error ---TVD Preserved --Testing dt=0.002337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002337-0.001139 (0.001198) Potential Increase in error ---TVD Preserved --Testing dt=0.002338 ---TVD Violated after 43 steps t=0.100534 (1.003642e-13) L2 error at time of violation: 0.0222977 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002337 Theoretial Max dt=0.006709 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s6k10p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Violated after 6 steps t=0.036000 (-5.597977e-02) L2 error at time of violation: 0.070998 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 ---POS Violated after 6 steps t=0.030600 (-2.417066e-03) L2 error at time of violation: 0.0635807 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00501-0.00476 (0.00025) Potential Increase in error ---POS Preserved --Testing dt=0.00502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00502-0.00452 (0.0005) Potential Increase in error ---POS Preserved --Testing dt=0.00503 ---POS Violated after 6 steps t=0.030180 (-2.421789e-04) L2 error at time of violation: 0.0638791 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005021-0.004496 (0.000525) Potential Increase in error ---POS Preserved --Testing dt=0.005022 ---POS Violated after 6 steps t=0.030132 (-7.174758e-06) L2 error at time of violation: 0.0639153 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005021 Theoretial Max dt=0.006709 results_pos = max_dt: 0.0050 s: 8 k: 6 p: [] dx: 0.0100 r: 0.6709 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 6 steps t=0.102000 (2.497896e-02) L2 error at time of violation: 0.110686 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0167 ---TVD Violated after 6 steps t=0.100200 (4.655163e-03) L2 error at time of violation: 0.110931 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01661-0.00873 (0.00788) Potential Increase in error ---TVD Preserved --Testing dt=0.01662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01662-0.00866 (0.00796) Potential Increase in error ---TVD Preserved --Testing dt=0.01663 ---TVD Violated after 6 steps t=0.099780 (1.695323e-04) L2 error at time of violation: 0.106358 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016621-0.008653 (0.007968) Potential Increase in error ---TVD Preserved --Testing dt=0.016622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016622-0.008646 (0.007976) Potential Increase in error ---TVD Preserved --Testing dt=0.016623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016623-0.008639 (0.007984) Potential Increase in error ---TVD Preserved --Testing dt=0.016624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016624-0.008632 (0.007992) Potential Increase in error ---TVD Preserved --Testing dt=0.016625 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016625-0.008625 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.016626 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016626-0.008618 (0.008008) Potential Increase in error ---TVD Preserved --Testing dt=0.016627 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016627-0.008611 (0.008016) Potential Increase in error ---TVD Preserved --Testing dt=0.016628 ---TVD Violated after 6 steps t=0.099768 (3.819564e-05) L2 error at time of violation: 0.106361 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016627 Theoretial Max dt=0.045089 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-1.929691e-02) L2 error at time of violation: 0.170494 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 6 steps t=0.192600 (-2.006582e-05) L2 error at time of violation: 0.16772 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 7 steps t=0.224070 (-1.242486e-01) L2 error at time of violation: 0.180216 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 7 steps t=0.224007 (-1.247322e-01) L2 error at time of violation: 0.180523 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.045089 results_pos = max_dt: 0.0320 s: 8 k: 5 p: [] dx: 0.0100 r: 4.5089 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 21 steps t=0.042000 (1.378823e-06) L2 error at time of violation: 0.0178656 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0017-0.0009 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0018-0.0008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0019 ---TVD Violated after 26 steps t=0.049400 (1.214524e-07) L2 error at time of violation: 0.0215136 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00181 ---TVD Violated after 46 steps t=0.083260 (1.386447e-12) L2 error at time of violation: 0.0220505 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001801 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001801-0.000731 (0.00107) Potential Increase in error ---TVD Preserved --Testing dt=0.001802 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001802-0.000662 (0.00114) Potential Increase in error ---TVD Preserved --Testing dt=0.001803 ---TVD Violated after 50 steps t=0.090150 (1.640910e-13) L2 error at time of violation: 0.0191539 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001802 Theoretial Max dt=0.005004 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 5 steps t=0.025000 (-8.187208e-02) L2 error at time of violation: 0.0576214 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 ---POS Violated after 5 steps t=0.020500 (-4.032010e-03) L2 error at time of violation: 0.0547489 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00401-0.00069 (0.00332) Potential Increase in error ---POS Preserved --Testing dt=0.00402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00402-0.00038 (0.00364) Potential Increase in error ---POS Preserved --Testing dt=0.00403 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00403-7e-05 (0.00396) Potential Increase in error ---POS Preserved --Testing dt=0.00404 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00404-0.0038 (0.00024) Potential Increase in error ---POS Preserved --Testing dt=0.00405 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00405-0.0035 (0.00055) Potential Increase in error ---POS Preserved --Testing dt=0.00406 ---POS Violated after 5 steps t=0.020300 (-3.674174e-04) L2 error at time of violation: 0.0546484 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004051-0.00347 (0.000581) Potential Increase in error ---POS Preserved --Testing dt=0.004052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004052-0.00344 (0.000612) Potential Increase in error ---POS Preserved --Testing dt=0.004053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004053-0.00341 (0.000643) Potential Increase in error ---POS Preserved --Testing dt=0.004054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004054-0.00338 (0.000674) Potential Increase in error ---POS Preserved --Testing dt=0.004055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004055-0.00335 (0.000705) Potential Increase in error ---POS Preserved --Testing dt=0.004056 ---POS Violated after 5 steps t=0.020280 (-1.129512e-06) L2 error at time of violation: 0.0546386 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004055 Theoretial Max dt=0.005004 results_pos = max_dt: 0.0041 s: 5 k: 5 p: [] dx: 0.0100 r: 0.5004 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 5 steps t=0.050000 (2.944054e-03) L2 error at time of violation: 0.0203182 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 ---TVD Violated after 10 steps t=0.091000 (2.862155e-13) L2 error at time of violation: 0.0143864 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00901-0.00787 (0.00114) Potential Increase in error ---TVD Preserved --Testing dt=0.00902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00902-0.00774 (0.00128) Potential Increase in error ---TVD Preserved --Testing dt=0.00903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00903-0.00761 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00904 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00904-0.00748 (0.00156) Potential Increase in error ---TVD Preserved --Testing dt=0.00905 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00905-0.00735 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.00906 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00906-0.00722 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00907 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00907-0.00709 (0.00198) Potential Increase in error ---TVD Preserved --Testing dt=0.00908 ---TVD Violated after 10 steps t=0.090800 (1.127987e-13) L2 error at time of violation: 0.0140738 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009071-0.007077 (0.001994) Potential Increase in error ---TVD Preserved --Testing dt=0.009072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009072-0.007064 (0.002008) Potential Increase in error ---TVD Preserved --Testing dt=0.009073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009073-0.007051 (0.002022) Potential Increase in error ---TVD Preserved --Testing dt=0.009074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009074-0.007038 (0.002036) Potential Increase in error ---TVD Preserved --Testing dt=0.009075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009075-0.007025 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.009076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009076-0.007012 (0.002064) Potential Increase in error ---TVD Preserved --Testing dt=0.009077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009077-0.006999 (0.002078) Potential Increase in error ---TVD Preserved --Testing dt=0.009078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009078-0.006986 (0.002092) Potential Increase in error ---TVD Preserved --Testing dt=0.009079 ---TVD Violated after 10 steps t=0.090790 (1.059153e-13) L2 error at time of violation: 0.0140577 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009078 Theoretial Max dt=0.011200 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 ---POS Violated after 6 steps t=0.108000 (-2.254342e-02) L2 error at time of violation: 0.0808421 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0171-0.0053 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0172 ---POS Violated after 5 steps t=0.086000 (-1.715619e-02) L2 error at time of violation: 0.0325818 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01711 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01711-0.00523 (0.01188) Potential Increase in error ---POS Preserved --Testing dt=0.01712 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01712-0.00516 (0.01196) Potential Increase in error ---POS Preserved --Testing dt=0.01713 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01713-0.00509 (0.01204) Potential Increase in error ---POS Preserved --Testing dt=0.01714 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01714-0.00502 (0.01212) Potential Increase in error ---POS Preserved --Testing dt=0.01715 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01715-0.00495 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.01716 ---POS Violated after 5 steps t=0.085800 (-1.866329e-02) L2 error at time of violation: 0.031766 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017151-0.004943 (0.012208) Potential Increase in error ---POS Preserved --Testing dt=0.017152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017152-0.004936 (0.012216) Potential Increase in error ---POS Preserved --Testing dt=0.017153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017153-0.004929 (0.012224) Potential Increase in error ---POS Preserved --Testing dt=0.017154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017154-0.004922 (0.012232) Potential Increase in error ---POS Preserved --Testing dt=0.017155 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017155-0.004915 (0.01224) Potential Increase in error ---POS Preserved --Testing dt=0.017156 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017156-0.004908 (0.012248) Potential Increase in error ---POS Preserved --Testing dt=0.017157 ---POS Violated after 5 steps t=0.085785 (-2.959505e-03) L2 error at time of violation: 0.0302412 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017156 Theoretial Max dt=0.011200 results_pos = max_dt: 0.0172 s: 9 k: 2 p: [] dx: 0.0100 r: 1.1200 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 5 steps t=0.035000 (8.490131e-03) L2 error at time of violation: 0.039599 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 ---TVD Violated after 8 steps t=0.048800 (4.970845e-04) L2 error at time of violation: 0.0277639 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00601-0.0048 (0.00121) Potential Increase in error ---TVD Preserved --Testing dt=0.00602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00602-0.0046 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00603-0.0044 (0.00163) Potential Increase in error ---TVD Preserved --Testing dt=0.00604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00604-0.0042 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00605-0.004 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00606-0.0038 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.00607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00607-0.0036 (0.00247) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 8 steps t=0.048640 (1.994258e-05) L2 error at time of violation: 0.0275313 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006071-0.00358 (0.002491) Potential Increase in error ---TVD Preserved --Testing dt=0.006072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006072-0.00356 (0.002512) Potential Increase in error ---TVD Preserved --Testing dt=0.006073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006073-0.00354 (0.002533) Potential Increase in error ---TVD Preserved --Testing dt=0.006074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006074-0.00352 (0.002554) Potential Increase in error ---TVD Preserved --Testing dt=0.006075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006075-0.0035 (0.002575) Potential Increase in error ---TVD Preserved --Testing dt=0.006076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006076-0.00348 (0.002596) Potential Increase in error ---TVD Preserved --Testing dt=0.006077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006077-0.00346 (0.002617) Potential Increase in error ---TVD Preserved --Testing dt=0.006078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006078-0.00344 (0.002638) Potential Increase in error ---TVD Preserved --Testing dt=0.006079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006079-0.00342 (0.002659) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 8 steps t=0.048640 (1.994258e-05) L2 error at time of violation: 0.0275313 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006079 Theoretial Max dt=0.023027 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 3 steps t=0.048000 (-2.290854e-02) L2 error at time of violation: 0.0772887 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 ---POS Violated after 8 steps t=0.120800 (-7.455273e-02) L2 error at time of violation: 0.0788368 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01501 ---POS Violated after 8 steps t=0.120080 (-6.234042e-02) L2 error at time of violation: 0.0793835 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015001-0.004992 (0.010009) Potential Increase in error ---POS Preserved --Testing dt=0.015002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015002-0.004984 (0.010018) Potential Increase in error ---POS Preserved --Testing dt=0.015003 ---POS Violated after 8 steps t=0.120024 (-1.032087e-02) L2 error at time of violation: 0.0772461 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015002 Theoretial Max dt=0.023027 results_pos = max_dt: 0.0150 s: 4 k: 3 p: [] dx: 0.0100 r: 2.3027 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 11 steps t=0.110000 (1.172240e-11) L2 error at time of violation: 0.0283661 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 ---TVD Violated after 8 steps t=0.076000 (1.456902e-08) L2 error at time of violation: 0.0497615 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00941 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00941-0.00267 (0.00674) Potential Increase in error ---TVD Preserved --Testing dt=0.00942 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00942-0.00254 (0.00688) Potential Increase in error ---TVD Preserved --Testing dt=0.00943 ---TVD Violated after 9 steps t=0.084870 (1.037637e-11) L2 error at time of violation: 0.0410379 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009421-0.002527 (0.006894) Potential Increase in error ---TVD Preserved --Testing dt=0.009422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009422-0.002514 (0.006908) Potential Increase in error ---TVD Preserved --Testing dt=0.009423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009423-0.002501 (0.006922) Potential Increase in error ---TVD Preserved --Testing dt=0.009424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009424-0.002488 (0.006936) Potential Increase in error ---TVD Preserved --Testing dt=0.009425 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009425-0.002475 (0.00695) Potential Increase in error ---TVD Preserved --Testing dt=0.009426 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009426-0.002462 (0.006964) Potential Increase in error ---TVD Preserved --Testing dt=0.009427 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009427-0.002449 (0.006978) Potential Increase in error ---TVD Preserved --Testing dt=0.009428 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009428-0.002436 (0.006992) Potential Increase in error ---TVD Preserved --Testing dt=0.009429 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009429-0.002423 (0.007006) Potential Increase in error ---TVD Preserved --Testing dt=0.00943 ---TVD Violated after 9 steps t=0.084870 (1.037592e-11) L2 error at time of violation: 0.0410379 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009429 Theoretial Max dt=0.025815 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 ---POS Violated after 4 steps t=0.092000 (-3.404687e-02) L2 error at time of violation: 0.114824 Refining dt search increment 0.001->0.0001 --Testing dt=0.0221 ---POS Violated after 4 steps t=0.088400 (-1.732888e-04) L2 error at time of violation: 0.114805 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02201-0.01495 (0.00706) Potential Increase in error ---POS Preserved --Testing dt=0.02202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02202-0.0149 (0.00712) Potential Increase in error ---POS Preserved --Testing dt=0.02203 ---POS Violated after 5 steps t=0.110150 (-7.657823e-05) L2 error at time of violation: 0.106944 Refining dt search increment 1e-05->1e-06 --Testing dt=0.022021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022021-0.014895 (0.007126) Potential Increase in error ---POS Preserved --Testing dt=0.022022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022022-0.01489 (0.007132) Potential Increase in error ---POS Preserved --Testing dt=0.022023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022023-0.014885 (0.007138) Potential Increase in error ---POS Preserved --Testing dt=0.022024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022024-0.01488 (0.007144) Potential Increase in error ---POS Preserved --Testing dt=0.022025 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022025-0.014875 (0.00715) Potential Increase in error ---POS Preserved --Testing dt=0.022026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022026-0.01487 (0.007156) Potential Increase in error ---POS Preserved --Testing dt=0.022027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022027-0.014865 (0.007162) Potential Increase in error ---POS Preserved --Testing dt=0.022028 ---POS Violated after 5 steps t=0.110140 (-1.753266e-05) L2 error at time of violation: 0.106951 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.022027 Theoretial Max dt=0.025815 results_pos = max_dt: 0.0220 s: 11 k: 4 p: [] dx: 0.0100 r: 2.5815 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 6 steps t=0.036000 (2.503391e-03) L2 error at time of violation: 0.0460665 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 ---TVD Violated after 10 steps t=0.054000 (1.353760e-03) L2 error at time of violation: 0.0307673 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00531-0.00287 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00532-0.00264 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00533 ---TVD Violated after 10 steps t=0.053300 (2.434424e-05) L2 error at time of violation: 0.0240288 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005321-0.002617 (0.002704) Potential Increase in error ---TVD Preserved --Testing dt=0.005322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005322-0.002594 (0.002728) Potential Increase in error ---TVD Preserved --Testing dt=0.005323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005323-0.002571 (0.002752) Potential Increase in error ---TVD Preserved --Testing dt=0.005324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005324-0.002548 (0.002776) Potential Increase in error ---TVD Preserved --Testing dt=0.005325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005325-0.002525 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.005326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005326-0.002502 (0.002824) Potential Increase in error ---TVD Preserved --Testing dt=0.005327 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005327-0.002479 (0.002848) Potential Increase in error ---TVD Preserved --Testing dt=0.005328 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005328-0.002456 (0.002872) Potential Increase in error ---TVD Preserved --Testing dt=0.005329 ---TVD Violated after 10 steps t=0.053290 (9.918871e-06) L2 error at time of violation: 0.0240367 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005328 Theoretial Max dt=0.017350 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 8 steps t=0.080000 (-2.112155e-02) L2 error at time of violation: 0.084541 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0097 ---POS Violated after 12 steps t=0.116400 (-1.427352e-02) L2 error at time of violation: 0.0785313 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00961 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00961-7e-05 (0.00954) Potential Increase in error ---POS Preserved --Testing dt=0.00962 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00962-0.00956 (6e-05) Potential Increase in error ---POS Preserved --Testing dt=0.00963 ---POS Violated after 12 steps t=0.115560 (-1.445835e-03) L2 error at time of violation: 0.0769432 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009621-0.009548 (7.3e-05) Potential Increase in error ---POS Preserved --Testing dt=0.009622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009622-0.009536 (8.6e-05) Potential Increase in error ---POS Preserved --Testing dt=0.009623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009623-0.009524 (9.9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.009624 ---POS Violated after 12 steps t=0.115488 (-1.167095e-04) L2 error at time of violation: 0.0766994 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009623 Theoretial Max dt=0.017350 results_pos = max_dt: 0.0096 s: 3 k: 4 p: [] dx: 0.0100 r: 1.7350 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.SSP104: SSP(10,4) > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Preserved --Testing dt=0.003 ---TVD Preserved --Testing dt=0.004 ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Preserved --Testing dt=0.007 ---TVD Preserved --Testing dt=0.008 ---TVD Preserved --Testing dt=0.009 ---TVD Preserved --Testing dt=0.01 ---TVD Preserved --Testing dt=0.011 ---TVD Preserved --Testing dt=0.012 ---TVD Preserved --Testing dt=0.013 ---TVD Preserved --Testing dt=0.014 ---TVD Preserved --Testing dt=0.015 ---TVD Preserved --Testing dt=0.016 ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 1 steps t=0.017000 (7.124161e-03) L2 error at time of violation: 0.022634 TV Norm History: 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 ---TVD Preserved --Testing dt=0.0162 ---TVD Preserved --Testing dt=0.0163 ---TVD Preserved --Testing dt=0.0164 ---TVD Preserved --Testing dt=0.0165 ---TVD Preserved --Testing dt=0.0166 ---TVD Preserved --Testing dt=0.0167 ---TVD Preserved --Testing dt=0.0168 ---TVD Violated after 1 steps t=0.016800 (1.330069e-03) L2 error at time of violation: 0.0217587 TV Norm History: 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01671 ---TVD Preserved --Testing dt=0.01672 ---TVD Preserved --Testing dt=0.01673 ---TVD Preserved --Testing dt=0.01674 ---TVD Preserved --Testing dt=0.01675 ---TVD Preserved --Testing dt=0.01676 ---TVD Violated after 1 steps t=0.016760 (1.472054e-04) L2 error at time of violation: 0.0215875 TV Norm History: 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016751 ---TVD Preserved --Testing dt=0.016752 ---TVD Preserved --Testing dt=0.016753 ---TVD Preserved --Testing dt=0.016754 ---TVD Preserved --Testing dt=0.016755 ---TVD Preserved --Testing dt=0.016756 ---TVD Violated after 1 steps t=0.016756 (2.848182e-05) L2 error at time of violation: 0.0215704 TV Norm History: 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016755 Theoretial Max dt=0.060000 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.SSP104: SSP(10,4) > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---POS Preserved --Testing dt=0.003 ---POS Preserved --Testing dt=0.004 ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Preserved --Testing dt=0.007 ---POS Preserved --Testing dt=0.008 ---POS Preserved --Testing dt=0.009 ---POS Preserved --Testing dt=0.01 ---POS Preserved --Testing dt=0.011 ---POS Preserved --Testing dt=0.012 ---POS Preserved --Testing dt=0.013 ---POS Preserved --Testing dt=0.014 ---POS Preserved --Testing dt=0.015 ---POS Preserved --Testing dt=0.016 ---POS Preserved --Testing dt=0.017 ---POS Preserved --Testing dt=0.018 ---POS Preserved --Testing dt=0.019 ---POS Preserved --Testing dt=0.02 ---POS Preserved --Testing dt=0.021 ---POS Preserved --Testing dt=0.022 ---POS Preserved --Testing dt=0.023 ---POS Preserved --Testing dt=0.024 ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 ---POS Preserved --Testing dt=0.027 ---POS Preserved --Testing dt=0.028 ---POS Preserved --Testing dt=0.029 ---POS Preserved --Testing dt=0.03 ---POS Preserved --Testing dt=0.031 ---POS Violated after 3 steps t=0.093000 (-1.424152e-02) L2 error at time of violation: 0.0579353 Refining dt search increment 0.001->0.0001 --Testing dt=0.0301 ---POS Preserved --Testing dt=0.0302 ---POS Violated after 3 steps t=0.090600 (-4.957893e-03) L2 error at time of violation: 0.0556313 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03011 ---POS Preserved --Testing dt=0.03012 ---POS Preserved --Testing dt=0.03013 ---POS Preserved --Testing dt=0.03014 ---POS Preserved --Testing dt=0.03015 ---POS Preserved --Testing dt=0.03016 ---POS Preserved --Testing dt=0.03017 ---POS Preserved --Testing dt=0.03018 ---POS Violated after 3 steps t=0.090540 (-1.952317e-03) L2 error at time of violation: 0.0566946 Refining dt search increment 1e-05->1e-06 --Testing dt=0.030171 ---POS Preserved --Testing dt=0.030172 ---POS Preserved --Testing dt=0.030173 ---POS Preserved --Testing dt=0.030174 ---POS Preserved --Testing dt=0.030175 ---POS Violated after 3 steps t=0.090525 (-4.420861e-04) L2 error at time of violation: 0.0566257 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.030174 Theoretial Max dt=0.060000 results_pos = max_dt: 0.0302 s: 10 k: 1 p: 4 dx: 0.0100 r: 6 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 7 steps t=0.049000 (8.490131e-03) L2 error at time of violation: 0.0667073 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 ---TVD Violated after 10 steps t=0.061000 (4.970845e-04) L2 error at time of violation: 0.0536513 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00601-0.0048 (0.00121) Potential Increase in error ---TVD Preserved --Testing dt=0.00602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00602-0.0046 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00603-0.0044 (0.00163) Potential Increase in error ---TVD Preserved --Testing dt=0.00604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00604-0.0042 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00605-0.004 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00606-0.0038 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.00607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00607-0.0036 (0.00247) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 10 steps t=0.060800 (1.994258e-05) L2 error at time of violation: 0.054052 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006071-0.00358 (0.002491) Potential Increase in error ---TVD Preserved --Testing dt=0.006072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006072-0.00356 (0.002512) Potential Increase in error ---TVD Preserved --Testing dt=0.006073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006073-0.00354 (0.002533) Potential Increase in error ---TVD Preserved --Testing dt=0.006074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006074-0.00352 (0.002554) Potential Increase in error ---TVD Preserved --Testing dt=0.006075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006075-0.0035 (0.002575) Potential Increase in error ---TVD Preserved --Testing dt=0.006076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006076-0.00348 (0.002596) Potential Increase in error ---TVD Preserved --Testing dt=0.006077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006077-0.00346 (0.002617) Potential Increase in error ---TVD Preserved --Testing dt=0.006078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006078-0.00344 (0.002638) Potential Increase in error ---TVD Preserved --Testing dt=0.006079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006079-0.00342 (0.002659) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 10 steps t=0.060800 (1.994258e-05) L2 error at time of violation: 0.054052 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006079 Theoretial Max dt=0.023027 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 5 steps t=0.080000 (-2.290854e-02) L2 error at time of violation: 0.116892 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 ---POS Violated after 5 steps t=0.077000 (-1.600373e-03) L2 error at time of violation: 0.111693 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01531-0.00252 (0.01279) Potential Increase in error ---POS Preserved --Testing dt=0.01532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01532-0.00244 (0.01288) Potential Increase in error ---POS Preserved --Testing dt=0.01533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01533-0.00236 (0.01297) Potential Increase in error ---POS Preserved --Testing dt=0.01534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01534-0.00228 (0.01306) Potential Increase in error ---POS Preserved --Testing dt=0.01535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01535-0.0022 (0.01315) Potential Increase in error ---POS Preserved --Testing dt=0.01536 ---POS Violated after 5 steps t=0.076800 (-2.884273e-04) L2 error at time of violation: 0.111645 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015351-0.002192 (0.013159) Potential Increase in error ---POS Preserved --Testing dt=0.015352 ---POS Violated after 5 steps t=0.076760 (-2.755587e-05) L2 error at time of violation: 0.111636 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015351 Theoretial Max dt=0.023027 results_pos = max_dt: 0.0154 s: 4 k: 5 p: [] dx: 0.0100 r: 2.3027 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 10 steps t=0.040000 (2.954243e-03) L2 error at time of violation: 0.0495206 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0037 ---TVD Violated after 10 steps t=0.037000 (1.984959e-04) L2 error at time of violation: 0.053655 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00361 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00361-0.00226 (0.00135) Potential Increase in error ---TVD Preserved --Testing dt=0.00362 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00362-0.00192 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.00363 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00363-0.00158 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00364 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00364-0.00124 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.00365 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00365-0.0009 (0.00275) Potential Increase in error ---TVD Preserved --Testing dt=0.00366 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00366-0.00056 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.00367 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00367-0.00022 (0.00345) Potential Increase in error ---TVD Preserved --Testing dt=0.00368 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00368-0.00356 (0.00012) Potential Increase in error ---TVD Preserved --Testing dt=0.00369 ---TVD Violated after 10 steps t=0.036900 (9.312298e-05) L2 error at time of violation: 0.0537951 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003681 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003681-0.003527 (0.000154) Potential Increase in error ---TVD Preserved --Testing dt=0.003682 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003682-0.003494 (0.000188) Potential Increase in error ---TVD Preserved --Testing dt=0.003683 ---TVD Violated after 10 steps t=0.036830 (9.582425e-06) L2 error at time of violation: 0.0538939 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003682 Theoretial Max dt=0.010964 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 7 steps t=0.056000 (-3.557960e-02) L2 error at time of violation: 0.0946094 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0075 ---POS Violated after 7 steps t=0.052500 (-4.178756e-03) L2 error at time of violation: 0.0875374 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00741 ---POS Violated after 15 steps t=0.111150 (-4.263788e-02) L2 error at time of violation: 0.079366 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007401-0.006584 (0.000817) Potential Increase in error ---POS Preserved --Testing dt=0.007402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007402-0.006568 (0.000834) Potential Increase in error ---POS Preserved --Testing dt=0.007403 ---POS Violated after 15 steps t=0.111045 (-5.377728e-03) L2 error at time of violation: 0.0767534 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007402 Theoretial Max dt=0.010964 results_pos = max_dt: 0.0074 s: 8 k: 7 p: [] dx: 0.0100 r: 1.0964 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 5 steps t=0.040000 (6.153340e-03) L2 error at time of violation: 0.0362099 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0078-0.0002 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0079 ---TVD Violated after 5 steps t=0.039500 (2.780020e-03) L2 error at time of violation: 0.0375775 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00781-4e-05 (0.00777) Potential Increase in error ---TVD Preserved --Testing dt=0.00782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00782-0.0077 (0.00012) Potential Increase in error ---TVD Preserved --Testing dt=0.00783 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00783-0.00755 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00784 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00784-0.0074 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00785 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00785-0.00725 (0.0006) Potential Increase in error ---TVD Preserved --Testing dt=0.00786 ---TVD Violated after 5 steps t=0.039300 (5.395497e-04) L2 error at time of violation: 0.0381377 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007851 ---TVD Violated after 5 steps t=0.039255 (2.473501e-05) L2 error at time of violation: 0.038265 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007850 Theoretial Max dt=0.013453 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 3 steps t=0.048000 (-6.370303e-03) L2 error at time of violation: 0.0863513 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 ---POS Violated after 8 steps t=0.123200 (-3.834402e-02) L2 error at time of violation: 0.0599804 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01531-0.00252 (0.01279) Potential Increase in error ---POS Preserved --Testing dt=0.01532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01532-0.00244 (0.01288) Potential Increase in error ---POS Preserved --Testing dt=0.01533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01533-0.00236 (0.01297) Potential Increase in error ---POS Preserved --Testing dt=0.01534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01534-0.00228 (0.01306) Potential Increase in error ---POS Preserved --Testing dt=0.01535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01535-0.0022 (0.01315) Potential Increase in error ---POS Preserved --Testing dt=0.01536 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01536-0.00212 (0.01324) Potential Increase in error ---POS Preserved --Testing dt=0.01537 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01537-0.00204 (0.01333) Potential Increase in error ---POS Preserved --Testing dt=0.01538 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01538-0.00196 (0.01342) Potential Increase in error ---POS Preserved --Testing dt=0.01539 ---POS Violated after 8 steps t=0.123120 (-1.641299e-02) L2 error at time of violation: 0.059704 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015381 ---POS Violated after 8 steps t=0.123048 (-3.315959e-04) L2 error at time of violation: 0.0594878 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015380 Theoretial Max dt=0.013453 results_pos = max_dt: 0.0154 s: 9 k: 3 p: [] dx: 0.0100 r: 1.3453 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 ---TVD Violated after 6 steps t=0.108000 (3.527196e-04) L2 error at time of violation: 0.141339 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0171-0.0053 (0.0118) Potential Increase in error ---TVD Preserved --Testing dt=0.0172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0172-0.0046 (0.0126) Potential Increase in error ---TVD Preserved --Testing dt=0.0173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0173-0.0039 (0.0134) Potential Increase in error ---TVD Preserved --Testing dt=0.0174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0174-0.0032 (0.0142) Potential Increase in error ---TVD Preserved --Testing dt=0.0175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0175-0.0025 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.0176 ---TVD Violated after 6 steps t=0.105600 (7.980767e-05) L2 error at time of violation: 0.137682 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01751 ---TVD Violated after 6 steps t=0.105060 (1.265718e-06) L2 error at time of violation: 0.137689 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017501-0.002493 (0.015008) Potential Increase in error ---TVD Preserved --Testing dt=0.017502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017502-0.002486 (0.015016) Potential Increase in error ---TVD Preserved --Testing dt=0.017503 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017503-0.002479 (0.015024) Potential Increase in error ---TVD Preserved --Testing dt=0.017504 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017504-0.002472 (0.015032) Potential Increase in error ---TVD Preserved --Testing dt=0.017505 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017505-0.002465 (0.01504) Potential Increase in error ---TVD Preserved --Testing dt=0.017506 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017506-0.002458 (0.015048) Potential Increase in error ---TVD Preserved --Testing dt=0.017507 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017507-0.002451 (0.015056) Potential Increase in error ---TVD Preserved --Testing dt=0.017508 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017508-0.002444 (0.015064) Potential Increase in error ---TVD Preserved --Testing dt=0.017509 ---TVD Violated after 6 steps t=0.105054 (3.550688e-07) L2 error at time of violation: 0.137689 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017508 Theoretial Max dt=0.060498 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.017 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.027 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.234000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.018 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.028 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.243000 ---POS Violated after 6 steps t=0.168000 (-1.627588e-03) L2 error at time of violation: 0.176301 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.243000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0262 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0272 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.243900 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0263 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0273 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.244800 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0264 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0274 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.245700 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0265 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0275 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.246600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.0266 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0276 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.247500 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0267 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0277 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0277-0.0268 (0.0009) Potential Increase in error ---POS Preserved --Testing dt=0.0278 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249300 ---POS Violated after 6 steps t=0.166800 (-2.004368e-04) L2 error at time of violation: 0.176129 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02771 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249300 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02771-0.02762 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02772 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249390 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02772-0.02763 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02773 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249480 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02773-0.02764 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02774 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249570 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02774-0.02765 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02775 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249660 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02775-0.02766 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02776 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249750 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02776-0.02767 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02777 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249840 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02777-0.02768 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.02778 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249930 ---POS Violated after 6 steps t=0.166680 (-5.971009e-05) L2 error at time of violation: 0.176117 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027771 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249930 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027771-0.027762 (9e-06) Potential Increase in error ---POS Preserved --Testing dt=0.027772 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.249939 ---POS Violated after 6 steps t=0.166632 (-3.516360e-06) L2 error at time of violation: 0.17322 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027771 Theoretial Max dt=0.060498 results_pos = max_dt: 0.0278 s: 9 k: 6 p: [] dx: 0.0100 r: 6.0498 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 9 steps t=0.054000 (2.503391e-03) L2 error at time of violation: 0.0796574 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 ---TVD Violated after 13 steps t=0.070200 (1.353760e-03) L2 error at time of violation: 0.059262 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00531-0.00287 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00532-0.00264 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00533 ---TVD Violated after 13 steps t=0.069290 (2.434424e-05) L2 error at time of violation: 0.0605051 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005321-0.002617 (0.002704) Potential Increase in error ---TVD Preserved --Testing dt=0.005322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005322-0.002594 (0.002728) Potential Increase in error ---TVD Preserved --Testing dt=0.005323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005323-0.002571 (0.002752) Potential Increase in error ---TVD Preserved --Testing dt=0.005324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005324-0.002548 (0.002776) Potential Increase in error ---TVD Preserved --Testing dt=0.005325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005325-0.002525 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.005326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005326-0.002502 (0.002824) Potential Increase in error ---TVD Preserved --Testing dt=0.005327 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005327-0.002479 (0.002848) Potential Increase in error ---TVD Preserved --Testing dt=0.005328 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005328-0.002456 (0.002872) Potential Increase in error ---TVD Preserved --Testing dt=0.005329 ---TVD Violated after 13 steps t=0.069277 (9.918871e-06) L2 error at time of violation: 0.0605195 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005328 Theoretial Max dt=0.017350 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 11 steps t=0.110000 (-2.112155e-02) L2 error at time of violation: 0.10863 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 11 steps t=0.107800 (-3.598028e-05) L2 error at time of violation: 0.106605 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00971-0.00848 (0.00123) Potential Increase in error ---POS Preserved --Testing dt=0.00972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00972-0.00836 (0.00136) Potential Increase in error ---POS Preserved --Testing dt=0.00973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00973-0.00824 (0.00149) Potential Increase in error ---POS Preserved --Testing dt=0.00974 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00974-0.00812 (0.00162) Potential Increase in error ---POS Preserved --Testing dt=0.00975 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00975-0.008 (0.00175) Potential Increase in error ---POS Preserved --Testing dt=0.00976 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00976-0.00788 (0.00188) Potential Increase in error ---POS Preserved --Testing dt=0.00977 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00977-0.00776 (0.00201) Potential Increase in error ---POS Preserved --Testing dt=0.00978 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00978-0.00764 (0.00214) Potential Increase in error ---POS Preserved --Testing dt=0.00979 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00979-0.00752 (0.00227) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 11 steps t=0.107800 (-3.598028e-05) L2 error at time of violation: 0.106605 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009791-0.007508 (0.002283) Potential Increase in error ---POS Preserved --Testing dt=0.009792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009792-0.007496 (0.002296) Potential Increase in error ---POS Preserved --Testing dt=0.009793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009793-0.007484 (0.002309) Potential Increase in error ---POS Preserved --Testing dt=0.009794 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009794-0.007472 (0.002322) Potential Increase in error ---POS Preserved --Testing dt=0.009795 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009795-0.00746 (0.002335) Potential Increase in error ---POS Preserved --Testing dt=0.009796 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009796-0.007448 (0.002348) Potential Increase in error ---POS Preserved --Testing dt=0.009797 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009797-0.007436 (0.002361) Potential Increase in error ---POS Preserved --Testing dt=0.009798 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009798-0.007424 (0.002374) Potential Increase in error ---POS Preserved --Testing dt=0.009799 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009799-0.007412 (0.002387) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 11 steps t=0.107800 (-3.598028e-05) L2 error at time of violation: 0.106605 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009799 Theoretial Max dt=0.017350 results_pos = max_dt: 0.0098 s: 3 k: 7 p: [] dx: 0.0100 r: 1.7350 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 12 steps t=0.072000 (1.422331e-09) L2 error at time of violation: 0.0200623 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0058-0.0032 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0059-0.0011 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 12 steps t=0.072000 (1.422331e-09) L2 error at time of violation: 0.0200623 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00591-0.00089 (0.00502) Potential Increase in error ---TVD Preserved --Testing dt=0.00592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00592-0.00068 (0.00524) Potential Increase in error ---TVD Preserved --Testing dt=0.00593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00593-0.00047 (0.00546) Potential Increase in error ---TVD Preserved --Testing dt=0.00594 ---TVD Violated after 16 steps t=0.095040 (8.921752e-13) L2 error at time of violation: 0.0234398 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005931-0.000449 (0.005482) Potential Increase in error ---TVD Preserved --Testing dt=0.005932 ---TVD Violated after 16 steps t=0.094912 (1.014744e-13) L2 error at time of violation: 0.0237219 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005931 Theoretial Max dt=0.017388 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 4 steps t=0.052000 (-1.095921e-02) L2 error at time of violation: 0.0856285 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---POS Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---POS Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---POS Preserved --Testing dt=0.0125 ---POS Preserved --Testing dt=0.0126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0126-0.0116 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0127 ---POS Violated after 4 steps t=0.050800 (-1.453898e-03) L2 error at time of violation: 0.0849694 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01261-0.01151 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.01262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01262-0.01142 (0.0012) Potential Increase in error ---POS Preserved --Testing dt=0.01263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01263-0.01133 (0.0013) Potential Increase in error ---POS Preserved --Testing dt=0.01264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01264-0.01124 (0.0014) Potential Increase in error ---POS Preserved --Testing dt=0.01265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01265-0.01115 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.01266 ---POS Violated after 4 steps t=0.050640 (-2.678861e-04) L2 error at time of violation: 0.0848933 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012651 ---POS Violated after 4 steps t=0.050604 (-3.463130e-06) L2 error at time of violation: 0.084876 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012650 Theoretial Max dt=0.017388 results_pos = max_dt: 0.0126 s: 6 k: 4 p: [] dx: 0.0100 r: 1.7388 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 4 steps t=0.040000 (2.021435e-02) L2 error at time of violation: 0.0730741 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 ---TVD Violated after 4 steps t=0.038000 (2.876447e-03) L2 error at time of violation: 0.0739878 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00941 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00941-0.00267 (0.00674) Potential Increase in error ---TVD Preserved --Testing dt=0.00942 ---TVD Violated after 6 steps t=0.056520 (3.839514e-05) L2 error at time of violation: 0.0626581 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009411-0.002657 (0.006754) Potential Increase in error ---TVD Preserved --Testing dt=0.009412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009412-0.002644 (0.006768) Potential Increase in error ---TVD Preserved --Testing dt=0.009413 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009413-0.002631 (0.006782) Potential Increase in error ---TVD Preserved --Testing dt=0.009414 ---TVD Violated after 6 steps t=0.056484 (3.807886e-06) L2 error at time of violation: 0.0626552 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009413 Theoretial Max dt=0.027576 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 ---POS Violated after 4 steps t=0.072000 (-3.484196e-03) L2 error at time of violation: 0.10099 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 ---POS Violated after 7 steps t=0.119700 (-7.263815e-03) L2 error at time of violation: 0.095449 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01701 ---POS Violated after 7 steps t=0.119070 (-4.765148e-04) L2 error at time of violation: 0.0942318 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017001-0.005993 (0.011008) Potential Increase in error ---POS Preserved --Testing dt=0.017002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017002-0.005986 (0.011016) Potential Increase in error ---POS Preserved --Testing dt=0.017003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017003-0.005979 (0.011024) Potential Increase in error ---POS Preserved --Testing dt=0.017004 ---POS Violated after 7 steps t=0.119028 (-2.390426e-05) L2 error at time of violation: 0.0941291 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017003 Theoretial Max dt=0.027576 results_pos = max_dt: 0.0170 s: 8 k: 4 p: [] dx: 0.0100 r: 2.7576 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 7 steps t=0.063000 (8.218213e-04) L2 error at time of violation: 0.027736 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0088-0.0018 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0089 ---TVD Violated after 7 steps t=0.062300 (7.092407e-04) L2 error at time of violation: 0.0294607 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00881-0.00166 (0.00715) Potential Increase in error ---TVD Preserved --Testing dt=0.00882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00882-0.00152 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.00883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00883-0.00138 (0.00745) Potential Increase in error ---TVD Preserved --Testing dt=0.00884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00884-0.00124 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.00885 ---TVD Violated after 7 steps t=0.061950 (1.125219e-04) L2 error at time of violation: 0.0304702 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008841 ---TVD Violated after 7 steps t=0.061887 (9.653001e-07) L2 error at time of violation: 0.0307309 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008840 Theoretial Max dt=0.027161 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 6 steps t=0.102000 (-2.317480e-02) L2 error at time of violation: 0.0780671 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 ---POS Violated after 6 steps t=0.099000 (-2.133528e-03) L2 error at time of violation: 0.0640169 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01641-0.01013 (0.00628) Potential Increase in error ---POS Preserved --Testing dt=0.01642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01642-0.01006 (0.00636) Potential Increase in error ---POS Preserved --Testing dt=0.01643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01643-0.00999 (0.00644) Potential Increase in error ---POS Preserved --Testing dt=0.01644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01644-0.00992 (0.00652) Potential Increase in error ---POS Preserved --Testing dt=0.01645 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01645-0.00985 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.01646 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01646-0.00978 (0.00668) Potential Increase in error ---POS Preserved --Testing dt=0.01647 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01647-0.00971 (0.00676) Potential Increase in error ---POS Preserved --Testing dt=0.01648 ---POS Violated after 6 steps t=0.098880 (-4.273185e-04) L2 error at time of violation: 0.064137 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016471 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016471-0.009703 (0.006768) Potential Increase in error ---POS Preserved --Testing dt=0.016472 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016472-0.009696 (0.006776) Potential Increase in error ---POS Preserved --Testing dt=0.016473 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016473-0.009689 (0.006784) Potential Increase in error ---POS Preserved --Testing dt=0.016474 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016474-0.009682 (0.006792) Potential Increase in error ---POS Preserved --Testing dt=0.016475 ---POS Violated after 6 steps t=0.098850 (-6.371263e-06) L2 error at time of violation: 0.0641712 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016474 Theoretial Max dt=0.027161 results_pos = max_dt: 0.0165 s: 8 k: 3 p: [] dx: 0.0100 r: 2.7161 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s2k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 7 steps t=0.049000 (2.215693e-02) L2 error at time of violation: 0.0252936 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 ---TVD Violated after 3 steps t=0.018900 (1.368283e-03) L2 error at time of violation: 0.0218375 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00621 ---TVD Violated after 3 steps t=0.018630 (2.053420e-04) L2 error at time of violation: 0.0228716 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006201 ---TVD Violated after 3 steps t=0.018603 (1.483899e-05) L2 error at time of violation: 0.0229808 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006200 Theoretial Max dt=0.024495 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s2k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 8 steps t=0.112000 (-2.881580e-02) L2 error at time of violation: 0.0528698 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0137-0.0017 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0138 ---POS Violated after 8 steps t=0.110400 (-1.133893e-04) L2 error at time of violation: 0.0507009 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01371-0.00161 (0.0121) Potential Increase in error ---POS Preserved --Testing dt=0.01372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01372-0.00152 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.01373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01373-0.00143 (0.0123) Potential Increase in error ---POS Preserved --Testing dt=0.01374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01374-0.00134 (0.0124) Potential Increase in error ---POS Preserved --Testing dt=0.01375 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01375-0.00125 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.01376 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01376-0.00116 (0.0126) Potential Increase in error ---POS Preserved --Testing dt=0.01377 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01377-0.00107 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.01378 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01378-0.00098 (0.0128) Potential Increase in error ---POS Preserved --Testing dt=0.01379 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01379-0.00089 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0138 ---POS Violated after 8 steps t=0.110400 (-1.133893e-04) L2 error at time of violation: 0.0507009 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013791-0.000881 (0.01291) Potential Increase in error ---POS Preserved --Testing dt=0.013792 ---POS Violated after 8 steps t=0.110336 (-3.672251e-04) L2 error at time of violation: 0.0506185 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013791 Theoretial Max dt=0.024495 results_pos = max_dt: 0.0138 s: 3 k: 2 p: [] dx: 0.0100 r: 2.4495 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 8 steps t=0.032000 (3.215972e-03) L2 error at time of violation: 0.0399596 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 ---TVD Violated after 8 steps t=0.025600 (9.696363e-04) L2 error at time of violation: 0.0345836 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00311-0.0006 (0.00251) Potential Increase in error ---TVD Preserved --Testing dt=0.00312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00312-0.0002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00313-0.00293 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.00314 ---TVD Violated after 8 steps t=0.025120 (3.437664e-05) L2 error at time of violation: 0.0352495 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003131-0.002891 (0.00024) Potential Increase in error ---TVD Preserved --Testing dt=0.003132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003132-0.002852 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.003133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003133-0.002813 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.003134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003134-0.002774 (0.00036) Potential Increase in error ---TVD Preserved --Testing dt=0.003135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003135-0.002735 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.003136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003136-0.002696 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.003137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003137-0.002657 (0.00048) Potential Increase in error ---TVD Preserved --Testing dt=0.003138 ---TVD Violated after 8 steps t=0.025104 (3.061478e-07) L2 error at time of violation: 0.0352732 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003137 Theoretial Max dt=0.011495 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 13 steps t=0.091000 (-4.308612e-02) L2 error at time of violation: 0.0850492 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 ---POS Violated after 18 steps t=0.113400 (-2.473048e-03) L2 error at time of violation: 0.0686241 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00621-0.0008 (0.00541) Potential Increase in error ---POS Preserved --Testing dt=0.00622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00622-0.0006 (0.00562) Potential Increase in error ---POS Preserved --Testing dt=0.00623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00623-0.0004 (0.00583) Potential Increase in error ---POS Preserved --Testing dt=0.00624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00624-0.0002 (0.00604) Potential Increase in error ---POS Preserved --Testing dt=0.00625 ---POS Preserved --Testing dt=0.00626 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00626-0.00606 (0.0002) Potential Increase in error ---POS Preserved --Testing dt=0.00627 ---POS Violated after 18 steps t=0.112860 (-1.968625e-03) L2 error at time of violation: 0.0519899 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006261 ---POS Violated after 18 steps t=0.112698 (-7.663596e-05) L2 error at time of violation: 0.0512094 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006260 Theoretial Max dt=0.011495 results_pos = max_dt: 0.0063 s: 2 k: 5 p: [] dx: 0.0100 r: 1.1495 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 6 steps t=0.018000 (1.279848e-03) L2 error at time of violation: 0.0211428 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0025 ---TVD Preserved --Testing dt=0.0026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0026-0.0002 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0027-0.0008 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0028-0.0018 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0029-0.0003 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 6 steps t=0.018000 (1.279848e-03) L2 error at time of violation: 0.0211428 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00291-0.00278 (0.00013) Potential Increase in error ---TVD Preserved --Testing dt=0.00292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00292-0.00236 (0.00056) Potential Increase in error ---TVD Preserved --Testing dt=0.00293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00293-0.00194 (0.00099) Potential Increase in error ---TVD Preserved --Testing dt=0.00294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00294-0.00152 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00295-0.0011 (0.00185) Potential Increase in error ---TVD Preserved --Testing dt=0.00296 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00296-0.00068 (0.00228) Potential Increase in error ---TVD Preserved --Testing dt=0.00297 ---TVD Violated after 6 steps t=0.017820 (2.948822e-04) L2 error at time of violation: 0.0216181 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002961 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002961-0.000638 (0.002323) Potential Increase in error ---TVD Preserved --Testing dt=0.002962 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002962-0.000596 (0.002366) Potential Increase in error ---TVD Preserved --Testing dt=0.002963 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002963-0.000554 (0.002409) Potential Increase in error ---TVD Preserved --Testing dt=0.002964 ---TVD Violated after 6 steps t=0.017784 (4.779631e-06) L2 error at time of violation: 0.0217199 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002963 Theoretial Max dt=0.011129 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Violated after 19 steps t=0.114000 (-3.222768e-02) L2 error at time of violation: 0.041099 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0058-0.0032 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0059-0.0011 (0.0048) Potential Increase in error ---POS Preserved --Testing dt=0.006 ---POS Violated after 19 steps t=0.114000 (-3.222768e-02) L2 error at time of violation: 0.041099 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00591-0.00089 (0.00502) Potential Increase in error ---POS Preserved --Testing dt=0.00592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00592-0.00068 (0.00524) Potential Increase in error ---POS Preserved --Testing dt=0.00593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00593-0.00047 (0.00546) Potential Increase in error ---POS Preserved --Testing dt=0.00594 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00594-0.00026 (0.00568) Potential Increase in error ---POS Preserved --Testing dt=0.00595 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00595-5e-05 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.00596 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00596-0.0058 (0.00016) Potential Increase in error ---POS Preserved --Testing dt=0.00597 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00597-0.0056 (0.00037) Potential Increase in error ---POS Preserved --Testing dt=0.00598 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00598-0.0054 (0.00058) Potential Increase in error ---POS Preserved --Testing dt=0.00599 ---POS Violated after 19 steps t=0.113810 (-1.153770e-02) L2 error at time of violation: 0.0378382 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005981 ---POS Violated after 20 steps t=0.119620 (-2.509546e-02) L2 error at time of violation: 0.0498788 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005980 Theoretial Max dt=0.011129 results_pos = max_dt: 0.0060 s: 2 k: 3 p: [] dx: 0.0100 r: 1.1129 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 8 steps t=0.088000 (1.188780e-04) L2 error at time of violation: 0.11659 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 ---TVD Violated after 11 steps t=0.114400 (4.659292e-03) L2 error at time of violation: 0.0968123 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01031-0.00128 (0.00903) Potential Increase in error ---TVD Preserved --Testing dt=0.01032 ---TVD Violated after 11 steps t=0.113520 (1.751570e-04) L2 error at time of violation: 0.0972738 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010311-0.001268 (0.009043) Potential Increase in error ---TVD Preserved --Testing dt=0.010312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010312-0.001256 (0.009056) Potential Increase in error ---TVD Preserved --Testing dt=0.010313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010313-0.001244 (0.009069) Potential Increase in error ---TVD Preserved --Testing dt=0.010314 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010314-0.001232 (0.009082) Potential Increase in error ---TVD Preserved --Testing dt=0.010315 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010315-0.00122 (0.009095) Potential Increase in error ---TVD Preserved --Testing dt=0.010316 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010316-0.001208 (0.009108) Potential Increase in error ---TVD Preserved --Testing dt=0.010317 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010317-0.001196 (0.009121) Potential Increase in error ---TVD Preserved --Testing dt=0.010318 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010318-0.001184 (0.009134) Potential Increase in error ---TVD Preserved --Testing dt=0.010319 ---TVD Violated after 11 steps t=0.113509 (5.648705e-05) L2 error at time of violation: 0.0972791 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010318 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.210000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.012 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.023 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.220000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.013 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.024 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.230000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.014 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.025 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.240000 ---POS Violated after 7 steps t=0.175000 (-8.227728e-04) L2 error at time of violation: 0.183347 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.240000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0231 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0242 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.241000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.0232 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0243 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.242000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0243-0.0233 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0244 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.243000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0244-0.0234 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0245 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.244000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0245-0.0235 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0246 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.245000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0246-0.0236 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0247 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.246000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0247-0.0237 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0248 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.247000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0248-0.0238 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0249 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248000 ---POS Violated after 8 steps t=0.199200 (-4.776855e-03) L2 error at time of violation: 0.175756 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02481 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02481-0.02471 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02482 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248100 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02482-0.02472 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02483 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248200 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02483-0.02473 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02484 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248300 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02484-0.02474 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02485 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02485-0.02475 (0.0001) Potential Increase in error ---POS Preserved --Testing dt=0.02486 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248500 ---POS Violated after 8 steps t=0.198880 (-4.264163e-04) L2 error at time of violation: 0.175603 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024851 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248500 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024851-0.024841 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024852 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248510 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024852-0.024842 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024853 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248520 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024853-0.024843 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024854 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248530 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024854-0.024844 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024855 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248540 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024855-0.024845 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024856 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248550 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024856-0.024846 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024857 Skip value (6*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.248560 ---POS Violated after 8 steps t=0.198856 (-9.410774e-05) L2 error at time of violation: 0.175591 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024856 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0249 s: 6 k: 7 p: [] dx: 0.0100 r: 3.7767 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 5 steps t=0.060000 (1.432608e-06) L2 error at time of violation: 0.0563594 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 ---TVD Violated after 6 steps t=0.071400 (9.730334e-08) L2 error at time of violation: 0.038498 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01181-0.0069 (0.00491) Potential Increase in error ---TVD Preserved --Testing dt=0.01182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01182-0.0068 (0.00502) Potential Increase in error ---TVD Preserved --Testing dt=0.01183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01183-0.0067 (0.00513) Potential Increase in error ---TVD Preserved --Testing dt=0.01184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01184-0.0066 (0.00524) Potential Increase in error ---TVD Preserved --Testing dt=0.01185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01185-0.0065 (0.00535) Potential Increase in error ---TVD Preserved --Testing dt=0.01186 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01186-0.0064 (0.00546) Potential Increase in error ---TVD Preserved --Testing dt=0.01187 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01187-0.0063 (0.00557) Potential Increase in error ---TVD Preserved --Testing dt=0.01188 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01188-0.0062 (0.00568) Potential Increase in error ---TVD Preserved --Testing dt=0.01189 ---TVD Violated after 6 steps t=0.071340 (2.885678e-08) L2 error at time of violation: 0.0385728 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011881-0.00619 (0.005691) Potential Increase in error ---TVD Preserved --Testing dt=0.011882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011882-0.00618 (0.005702) Potential Increase in error ---TVD Preserved --Testing dt=0.011883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011883-0.00617 (0.005713) Potential Increase in error ---TVD Preserved --Testing dt=0.011884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011884-0.00616 (0.005724) Potential Increase in error ---TVD Preserved --Testing dt=0.011885 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011885-0.00615 (0.005735) Potential Increase in error ---TVD Preserved --Testing dt=0.011886 ---TVD Violated after 6 steps t=0.071316 (1.337212e-09) L2 error at time of violation: 0.0386031 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011885 Theoretial Max dt=0.025690 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 4 steps t=0.100000 (-4.922600e-03) L2 error at time of violation: 0.103043 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 4 steps t=0.097200 (-2.375711e-04) L2 error at time of violation: 0.0928377 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02421-0.00395 (0.02026) Potential Increase in error ---POS Preserved --Testing dt=0.02422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02422-0.0039 (0.02032) Potential Increase in error ---POS Preserved --Testing dt=0.02423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02423-0.00385 (0.02038) Potential Increase in error ---POS Preserved --Testing dt=0.02424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02424-0.0038 (0.02044) Potential Increase in error ---POS Preserved --Testing dt=0.02425 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02425-0.00375 (0.0205) Potential Increase in error ---POS Preserved --Testing dt=0.02426 ---POS Violated after 4 steps t=0.097040 (-1.670810e-05) L2 error at time of violation: 0.0929052 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024251-0.003745 (0.020506) Potential Increase in error ---POS Preserved --Testing dt=0.024252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024252-0.00374 (0.020512) Potential Increase in error ---POS Preserved --Testing dt=0.024253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024253-0.003735 (0.020518) Potential Increase in error ---POS Preserved --Testing dt=0.024254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024254-0.00373 (0.020524) Potential Increase in error ---POS Preserved --Testing dt=0.024255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024255-0.003725 (0.02053) Potential Increase in error ---POS Preserved --Testing dt=0.024256 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024256-0.00372 (0.020536) Potential Increase in error ---POS Preserved --Testing dt=0.024257 ---POS Violated after 4 steps t=0.097028 (-3.459410e-07) L2 error at time of violation: 0.0929096 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024256 Theoretial Max dt=0.025690 results_pos = max_dt: 0.0243 s: 12 k: 3 p: [] dx: 0.0100 r: 2.5690 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 7 steps t=0.105000 (1.261504e-03) L2 error at time of violation: 0.0989158 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0147 ---TVD Violated after 8 steps t=0.117600 (3.116178e-03) L2 error at time of violation: 0.092327 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01461-0.00812 (0.00649) Potential Increase in error ---TVD Preserved --Testing dt=0.01462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01462-0.00804 (0.00658) Potential Increase in error ---TVD Preserved --Testing dt=0.01463 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01463-0.00796 (0.00667) Potential Increase in error ---TVD Preserved --Testing dt=0.01464 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01464-0.00788 (0.00676) Potential Increase in error ---TVD Preserved --Testing dt=0.01465 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01465-0.0078 (0.00685) Potential Increase in error ---TVD Preserved --Testing dt=0.01466 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01466-0.00772 (0.00694) Potential Increase in error ---TVD Preserved --Testing dt=0.01467 ---TVD Violated after 8 steps t=0.117360 (1.261150e-03) L2 error at time of violation: 0.0924246 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014661-0.007712 (0.006949) Potential Increase in error ---TVD Preserved --Testing dt=0.014662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014662-0.007704 (0.006958) Potential Increase in error ---TVD Preserved --Testing dt=0.014663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014663-0.007696 (0.006967) Potential Increase in error ---TVD Preserved --Testing dt=0.014664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014664-0.007688 (0.006976) Potential Increase in error ---TVD Preserved --Testing dt=0.014665 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014665-0.00768 (0.006985) Potential Increase in error ---TVD Preserved --Testing dt=0.014666 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014666-0.007672 (0.006994) Potential Increase in error ---TVD Preserved --Testing dt=0.014667 ---TVD Violated after 8 steps t=0.117336 (2.282892e-04) L2 error at time of violation: 0.0924307 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014666 Theoretial Max dt=0.057944 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-4.632290e-02) L2 error at time of violation: 0.177455 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-3.873525e-02) L2 error at time of violation: 0.175769 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-3.779780e-02) L2 error at time of violation: 0.175612 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-3.768848e-02) L2 error at time of violation: 0.175597 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.057944 results_pos = max_dt: 0.0320 s: 6 k: 5 p: [] dx: 0.0100 r: 5.7944 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 6 steps t=0.030000 (4.119206e-03) L2 error at time of violation: 0.0466923 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 ---TVD Violated after 16 steps t=0.067200 (2.726104e-09) L2 error at time of violation: 0.0188937 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00411-0.0017 (0.00241) Potential Increase in error ---TVD Preserved --Testing dt=0.00412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00412-0.0014 (0.00272) Potential Increase in error ---TVD Preserved --Testing dt=0.00413 ---TVD Violated after 24 steps t=0.099120 (1.194600e-13) L2 error at time of violation: 0.0180709 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004121-0.00137 (0.002751) Potential Increase in error ---TVD Preserved --Testing dt=0.004122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004122-0.00134 (0.002782) Potential Increase in error ---TVD Preserved --Testing dt=0.004123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004123-0.00131 (0.002813) Potential Increase in error ---TVD Preserved --Testing dt=0.004124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004124-0.00128 (0.002844) Potential Increase in error ---TVD Preserved --Testing dt=0.004125 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004125-0.00125 (0.002875) Potential Increase in error ---TVD Preserved --Testing dt=0.004126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004126-0.00122 (0.002906) Potential Increase in error ---TVD Preserved --Testing dt=0.004127 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004127-0.00119 (0.002937) Potential Increase in error ---TVD Preserved --Testing dt=0.004128 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004128-0.00116 (0.002968) Potential Increase in error ---TVD Preserved --Testing dt=0.004129 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004129-0.00113 (0.002999) Potential Increase in error ---TVD Preserved --Testing dt=0.00413 ---TVD Violated after 24 steps t=0.099120 (1.197931e-13) L2 error at time of violation: 0.0180709 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004129 Theoretial Max dt=0.011944 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 4 steps t=0.036000 (-6.618884e-03) L2 error at time of violation: 0.0719771 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0088-0.0018 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0089 ---POS Violated after 4 steps t=0.035600 (-1.492141e-03) L2 error at time of violation: 0.0720418 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00881-0.00166 (0.00715) Potential Increase in error ---POS Preserved --Testing dt=0.00882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00882-0.00152 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.00883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00883-0.00138 (0.00745) Potential Increase in error ---POS Preserved --Testing dt=0.00884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00884-0.00124 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.00885 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00885-0.0011 (0.00775) Potential Increase in error ---POS Preserved --Testing dt=0.00886 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00886-0.00096 (0.0079) Potential Increase in error ---POS Preserved --Testing dt=0.00887 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00887-0.00082 (0.00805) Potential Increase in error ---POS Preserved --Testing dt=0.00888 ---POS Violated after 4 steps t=0.035520 (-4.717359e-04) L2 error at time of violation: 0.0720556 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008871 ---POS Violated after 4 steps t=0.035484 (-1.308602e-05) L2 error at time of violation: 0.0720619 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008870 Theoretial Max dt=0.011944 results_pos = max_dt: 0.0089 s: 5 k: 4 p: [] dx: 0.0100 r: 1.1944 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 11 steps t=0.044000 (3.215972e-03) L2 error at time of violation: 0.0662396 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 ---TVD Violated after 11 steps t=0.035200 (9.696363e-04) L2 error at time of violation: 0.0623504 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00311-0.0006 (0.00251) Potential Increase in error ---TVD Preserved --Testing dt=0.00312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00312-0.0002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00313-0.00293 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.00314 ---TVD Violated after 11 steps t=0.034540 (3.437664e-05) L2 error at time of violation: 0.0624735 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003131-0.002891 (0.00024) Potential Increase in error ---TVD Preserved --Testing dt=0.003132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003132-0.002852 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.003133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003133-0.002813 (0.00032) Potential Increase in error ---TVD Preserved --Testing dt=0.003134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003134-0.002774 (0.00036) Potential Increase in error ---TVD Preserved --Testing dt=0.003135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003135-0.002735 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.003136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003136-0.002696 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.003137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003137-0.002657 (0.00048) Potential Increase in error ---TVD Preserved --Testing dt=0.003138 ---TVD Violated after 11 steps t=0.034518 (3.061478e-07) L2 error at time of violation: 0.0624784 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003137 Theoretial Max dt=0.011495 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 16 steps t=0.112000 (-4.308612e-02) L2 error at time of violation: 0.101777 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 ---POS Violated after 18 steps t=0.115200 (-8.325819e-03) L2 error at time of violation: 0.0887901 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00631-0.00511 (0.0012) Potential Increase in error ---POS Preserved --Testing dt=0.00632 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00632-0.00492 (0.0014) Potential Increase in error ---POS Preserved --Testing dt=0.00633 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00633-0.00473 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.00634 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00634-0.00454 (0.0018) Potential Increase in error ---POS Preserved --Testing dt=0.00635 ---POS Violated after 18 steps t=0.114300 (-1.397067e-03) L2 error at time of violation: 0.0873167 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006341 ---POS Violated after 18 steps t=0.114138 (-1.228368e-04) L2 error at time of violation: 0.0869428 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006340 Theoretial Max dt=0.011495 results_pos = max_dt: 0.0063 s: 2 k: 8 p: [] dx: 0.0100 r: 1.1495 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 6 steps t=0.054000 (6.018368e-03) L2 error at time of violation: 0.0408637 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 ---TVD Violated after 12 steps t=0.098400 (5.786407e-04) L2 error at time of violation: 0.0225374 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00811 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00811-0.00335 (0.00476) Potential Increase in error ---TVD Preserved --Testing dt=0.00812 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00812-0.0032 (0.00492) Potential Increase in error ---TVD Preserved --Testing dt=0.00813 ---TVD Violated after 12 steps t=0.097560 (3.082575e-04) L2 error at time of violation: 0.0222691 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008121-0.003185 (0.004936) Potential Increase in error ---TVD Preserved --Testing dt=0.008122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008122-0.00317 (0.004952) Potential Increase in error ---TVD Preserved --Testing dt=0.008123 ---TVD Violated after 12 steps t=0.097476 (1.817601e-05) L2 error at time of violation: 0.0222927 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008122 Theoretial Max dt=0.029879 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 3 steps t=0.060000 (-2.074047e-03) L2 error at time of violation: 0.0887947 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 3 steps t=0.060000 (-2.074047e-03) L2 error at time of violation: 0.0887947 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01991-0.00554 (0.01437) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 3 steps t=0.059760 (-1.451902e-05) L2 error at time of violation: 0.0829833 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019911-0.005534 (0.014377) Potential Increase in error ---POS Preserved --Testing dt=0.019912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019912-0.005528 (0.014384) Potential Increase in error ---POS Preserved --Testing dt=0.019913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019913-0.005522 (0.014391) Potential Increase in error ---POS Preserved --Testing dt=0.019914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019914-0.005516 (0.014398) Potential Increase in error ---POS Preserved --Testing dt=0.019915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019915-0.00551 (0.014405) Potential Increase in error ---POS Preserved --Testing dt=0.019916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019916-0.005504 (0.014412) Potential Increase in error ---POS Preserved --Testing dt=0.019917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019917-0.005498 (0.014419) Potential Increase in error ---POS Preserved --Testing dt=0.019918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019918-0.005492 (0.014426) Potential Increase in error ---POS Preserved --Testing dt=0.019919 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019919-0.005486 (0.014433) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 3 steps t=0.059760 (-1.451902e-05) L2 error at time of violation: 0.0829833 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019919 Theoretial Max dt=0.029879 results_pos = max_dt: 0.0199 s: 5 k: 3 p: [] dx: 0.0100 r: 2.9879 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 14 steps t=0.084000 (1.661450e-09) L2 error at time of violation: 0.0199739 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0058-0.0032 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0059 ---TVD Violated after 18 steps t=0.106200 (2.248646e-12) L2 error at time of violation: 0.0216282 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00581-0.00299 (0.00282) Potential Increase in error ---TVD Preserved --Testing dt=0.00582 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00582-0.00278 (0.00304) Potential Increase in error ---TVD Preserved --Testing dt=0.00583 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00583-0.00257 (0.00326) Potential Increase in error ---TVD Preserved --Testing dt=0.00584 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00584-0.00236 (0.00348) Potential Increase in error ---TVD Preserved --Testing dt=0.00585 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00585-0.00215 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.00586 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00586-0.00194 (0.00392) Potential Increase in error ---TVD Preserved --Testing dt=0.00587 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00587-0.00173 (0.00414) Potential Increase in error ---TVD Preserved --Testing dt=0.00588 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00588-0.00152 (0.00436) Potential Increase in error ---TVD Preserved --Testing dt=0.00589 ---TVD Violated after 18 steps t=0.106020 (7.807088e-13) L2 error at time of violation: 0.0212717 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005881-0.001499 (0.004382) Potential Increase in error ---TVD Preserved --Testing dt=0.005882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005882-0.001478 (0.004404) Potential Increase in error ---TVD Preserved --Testing dt=0.005883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005883-0.001457 (0.004426) Potential Increase in error ---TVD Preserved --Testing dt=0.005884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005884-0.001436 (0.004448) Potential Increase in error ---TVD Preserved --Testing dt=0.005885 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005885-0.001415 (0.00447) Potential Increase in error ---TVD Preserved --Testing dt=0.005886 ---TVD Violated after 18 steps t=0.105948 (1.932898e-13) L2 error at time of violation: 0.0211472 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005885 Theoretial Max dt=0.016373 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 4 steps t=0.048000 (-3.897113e-02) L2 error at time of violation: 0.0837163 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 ---POS Violated after 4 steps t=0.044800 (-3.268578e-03) L2 error at time of violation: 0.077386 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01111-0.00279 (0.00832) Potential Increase in error ---POS Preserved --Testing dt=0.01112 ---POS Violated after 4 steps t=0.044480 (-2.242735e-04) L2 error at time of violation: 0.0774404 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011111-0.002779 (0.008332) Potential Increase in error ---POS Preserved --Testing dt=0.011112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011112-0.002768 (0.008344) Potential Increase in error ---POS Preserved --Testing dt=0.011113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011113-0.002757 (0.008356) Potential Increase in error ---POS Preserved --Testing dt=0.011114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011114-0.002746 (0.008368) Potential Increase in error ---POS Preserved --Testing dt=0.011115 ---POS Violated after 4 steps t=0.044460 (-2.291658e-05) L2 error at time of violation: 0.0774432 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011114 Theoretial Max dt=0.016373 results_pos = max_dt: 0.0111 s: 5 k: 4 p: [] dx: 0.0100 r: 1.6373 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 12 steps t=0.072000 (2.441734e-05) L2 error at time of violation: 0.0533796 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 ---TVD Violated after 18 steps t=0.091800 (1.903199e-10) L2 error at time of violation: 0.0239764 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00501-0.00476 (0.00025) Potential Increase in error ---TVD Preserved --Testing dt=0.00502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00502-0.00452 (0.0005) Potential Increase in error ---TVD Preserved --Testing dt=0.00503 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00503-0.00428 (0.00075) Potential Increase in error ---TVD Preserved --Testing dt=0.00504 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00504-0.00404 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00505 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00505-0.0038 (0.00125) Potential Increase in error ---TVD Preserved --Testing dt=0.00506 ---TVD Violated after 24 steps t=0.121440 (1.050271e-13) L2 error at time of violation: 0.0245976 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005051-0.003776 (0.001275) Potential Increase in error ---TVD Preserved --Testing dt=0.005052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005052-0.003752 (0.0013) Potential Increase in error ---TVD Preserved --Testing dt=0.005053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005053-0.003728 (0.001325) Potential Increase in error ---TVD Preserved --Testing dt=0.005054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005054-0.003704 (0.00135) Potential Increase in error ---TVD Preserved --Testing dt=0.005055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005055-0.00368 (0.001375) Potential Increase in error ---TVD Preserved --Testing dt=0.005056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005056-0.003656 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.005057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005057-0.003632 (0.001425) Potential Increase in error ---TVD Preserved --Testing dt=0.005058 ---TVD Violated after 24 steps t=0.121392 (1.003642e-13) L2 error at time of violation: 0.0246692 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005057 Theoretial Max dt=0.014648 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 6 steps t=0.066000 (-3.622058e-02) L2 error at time of violation: 0.106937 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---POS Violated after 7 steps t=0.070700 (-3.206908e-03) L2 error at time of violation: 0.0953473 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01001 ---POS Violated after 7 steps t=0.070070 (-7.718449e-05) L2 error at time of violation: 0.0956552 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010001-0.004988 (0.005013) Potential Increase in error ---POS Preserved --Testing dt=0.010002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010002-0.004976 (0.005026) Potential Increase in error ---POS Preserved --Testing dt=0.010003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010003-0.004964 (0.005039) Potential Increase in error ---POS Preserved --Testing dt=0.010004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010004-0.004952 (0.005052) Potential Increase in error ---POS Preserved --Testing dt=0.010005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010005-0.00494 (0.005065) Potential Increase in error ---POS Preserved --Testing dt=0.010006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010006-0.004928 (0.005078) Potential Increase in error ---POS Preserved --Testing dt=0.010007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010007-0.004916 (0.005091) Potential Increase in error ---POS Preserved --Testing dt=0.010008 ---POS Violated after 7 steps t=0.070056 (-1.086557e-05) L2 error at time of violation: 0.0956625 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010007 Theoretial Max dt=0.014648 results_pos = max_dt: 0.0100 s: 6 k: 6 p: [] dx: 0.0100 r: 1.4648 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 5 steps t=0.085000 (2.180850e-04) L2 error at time of violation: 0.0573107 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 ---TVD Violated after 6 steps t=0.097200 (1.291201e-03) L2 error at time of violation: 0.0469379 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01611-0.01223 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.01612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01612-0.01216 (0.00396) Potential Increase in error ---TVD Preserved --Testing dt=0.01613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01613-0.01209 (0.00404) Potential Increase in error ---TVD Preserved --Testing dt=0.01614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01614-0.01202 (0.00412) Potential Increase in error ---TVD Preserved --Testing dt=0.01615 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01615-0.01195 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.01616 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01616-0.01188 (0.00428) Potential Increase in error ---TVD Preserved --Testing dt=0.01617 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01617-0.01181 (0.00436) Potential Increase in error ---TVD Preserved --Testing dt=0.01618 ---TVD Violated after 6 steps t=0.097080 (1.271466e-04) L2 error at time of violation: 0.047194 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016171-0.011803 (0.004368) Potential Increase in error ---TVD Preserved --Testing dt=0.016172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016172-0.011796 (0.004376) Potential Increase in error ---TVD Preserved --Testing dt=0.016173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016173-0.011789 (0.004384) Potential Increase in error ---TVD Preserved --Testing dt=0.016174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016174-0.011782 (0.004392) Potential Increase in error ---TVD Preserved --Testing dt=0.016175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016175-0.011775 (0.0044) Potential Increase in error ---TVD Preserved --Testing dt=0.016176 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016176-0.011768 (0.004408) Potential Increase in error ---TVD Preserved --Testing dt=0.016177 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016177-0.011761 (0.004416) Potential Increase in error ---TVD Preserved --Testing dt=0.016178 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016178-0.011754 (0.004424) Potential Increase in error ---TVD Preserved --Testing dt=0.016179 ---TVD Violated after 6 steps t=0.097074 (2.081819e-05) L2 error at time of violation: 0.0472051 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016178 Theoretial Max dt=0.060498 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 3 steps t=0.084000 (-1.627588e-03) L2 error at time of violation: 0.102434 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0166 (0.0105) Potential Increase in error ---POS Preserved --Testing dt=0.0272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0162 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0158 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0154 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.015 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.0276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0146 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0277-0.0142 (0.0135) Potential Increase in error ---POS Preserved --Testing dt=0.0278 ---POS Violated after 3 steps t=0.083400 (-2.004368e-04) L2 error at time of violation: 0.10244 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02771-0.01416 (0.01355) Potential Increase in error ---POS Preserved --Testing dt=0.02772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02772-0.01412 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.02773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02773-0.01408 (0.01365) Potential Increase in error ---POS Preserved --Testing dt=0.02774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02774-0.01404 (0.0137) Potential Increase in error ---POS Preserved --Testing dt=0.02775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02775-0.014 (0.01375) Potential Increase in error ---POS Preserved --Testing dt=0.02776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02776-0.01396 (0.0138) Potential Increase in error ---POS Preserved --Testing dt=0.02777 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02777-0.01392 (0.01385) Potential Increase in error ---POS Preserved --Testing dt=0.02778 ---POS Violated after 3 steps t=0.083340 (-5.971009e-05) L2 error at time of violation: 0.10245 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027771-0.013916 (0.013855) Potential Increase in error ---POS Preserved --Testing dt=0.027772 ---POS Violated after 3 steps t=0.083316 (-3.516360e-06) L2 error at time of violation: 0.102453 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027771 Theoretial Max dt=0.060498 results_pos = max_dt: 0.0278 s: 9 k: 3 p: [] dx: 0.0100 r: 6.0498 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.023 ---TVD Violated after 5 steps t=0.115000 (2.381081e-02) L2 error at time of violation: 0.14158 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0221-0.0145 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0222-0.014 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0223-0.0135 (0.0088) Potential Increase in error ---TVD Preserved --Testing dt=0.0224 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0224-0.013 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0225 ---TVD Violated after 5 steps t=0.112500 (5.355063e-03) L2 error at time of violation: 0.137529 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02241 ---TVD Violated after 5 steps t=0.112050 (4.755240e-04) L2 error at time of violation: 0.137455 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.022401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022401-0.012995 (0.009406) Potential Increase in error ---TVD Preserved --Testing dt=0.022402 ---TVD Violated after 5 steps t=0.112010 (2.714351e-05) L2 error at time of violation: 0.137448 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.022401 Theoretial Max dt=0.061532 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.025 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.034 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.264000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.026 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.035 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.272000 ---POS Violated after 6 steps t=0.210000 (-6.439422e-03) L2 error at time of violation: 0.166343 Refining dt search increment 0.001->0.0001 --Testing dt=0.0341 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.272000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0341-0.0333 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0342 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.272800 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0342-0.0334 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0343 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273600 ---POS Violated after 7 steps t=0.240100 (-1.409225e-02) L2 error at time of violation: 0.168279 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03421 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03421-0.03413 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03422 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273680 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03422-0.03414 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03423 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273760 ---POS Violated after 7 steps t=0.239610 (-2.353924e-03) L2 error at time of violation: 0.164398 Refining dt search increment 1e-05->1e-06 --Testing dt=0.034221 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273760 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034221-0.034213 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.034222 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273768 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034222-0.034214 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.034223 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034223-0.034215 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.034224 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273784 ---POS Violated after 7 steps t=0.239568 (-3.282458e-05) L2 error at time of violation: 0.164264 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.034223 Theoretial Max dt=0.061532 results_pos = max_dt: 0.0342 s: 10 k: 5 p: [] dx: 0.0100 r: 6.1532 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 6 steps t=0.042000 (8.490131e-03) L2 error at time of violation: 0.0545047 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 ---TVD Violated after 9 steps t=0.054900 (4.970845e-04) L2 error at time of violation: 0.0409944 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00601-0.0048 (0.00121) Potential Increase in error ---TVD Preserved --Testing dt=0.00602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00602-0.0046 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00603-0.0044 (0.00163) Potential Increase in error ---TVD Preserved --Testing dt=0.00604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00604-0.0042 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00605-0.004 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00606-0.0038 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.00607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00607-0.0036 (0.00247) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 9 steps t=0.054720 (1.994258e-05) L2 error at time of violation: 0.0410066 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006071-0.00358 (0.002491) Potential Increase in error ---TVD Preserved --Testing dt=0.006072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006072-0.00356 (0.002512) Potential Increase in error ---TVD Preserved --Testing dt=0.006073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006073-0.00354 (0.002533) Potential Increase in error ---TVD Preserved --Testing dt=0.006074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006074-0.00352 (0.002554) Potential Increase in error ---TVD Preserved --Testing dt=0.006075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006075-0.0035 (0.002575) Potential Increase in error ---TVD Preserved --Testing dt=0.006076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006076-0.00348 (0.002596) Potential Increase in error ---TVD Preserved --Testing dt=0.006077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006077-0.00346 (0.002617) Potential Increase in error ---TVD Preserved --Testing dt=0.006078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006078-0.00344 (0.002638) Potential Increase in error ---TVD Preserved --Testing dt=0.006079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006079-0.00342 (0.002659) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 9 steps t=0.054720 (1.994258e-05) L2 error at time of violation: 0.0410066 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006079 Theoretial Max dt=0.023027 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 4 steps t=0.064000 (-2.290854e-02) L2 error at time of violation: 0.0963158 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 ---POS Violated after 4 steps t=0.061600 (-1.600373e-03) L2 error at time of violation: 0.0955967 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01531-0.00252 (0.01279) Potential Increase in error ---POS Preserved --Testing dt=0.01532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01532-0.00244 (0.01288) Potential Increase in error ---POS Preserved --Testing dt=0.01533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01533-0.00236 (0.01297) Potential Increase in error ---POS Preserved --Testing dt=0.01534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01534-0.00228 (0.01306) Potential Increase in error ---POS Preserved --Testing dt=0.01535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01535-0.0022 (0.01315) Potential Increase in error ---POS Preserved --Testing dt=0.01536 ---POS Violated after 4 steps t=0.061440 (-2.884273e-04) L2 error at time of violation: 0.0955554 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015351-0.002192 (0.013159) Potential Increase in error ---POS Preserved --Testing dt=0.015352 ---POS Violated after 4 steps t=0.061408 (-2.755587e-05) L2 error at time of violation: 0.0955473 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015351 Theoretial Max dt=0.023027 results_pos = max_dt: 0.0154 s: 4 k: 4 p: [] dx: 0.0100 r: 2.3027 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 7 steps t=0.028000 (9.198476e-03) L2 error at time of violation: 0.0496699 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 ---TVD Violated after 7 steps t=0.023800 (1.951923e-04) L2 error at time of violation: 0.0445546 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00331-0.00253 (0.00078) Potential Increase in error ---TVD Preserved --Testing dt=0.00332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00332-0.00216 (0.00116) Potential Increase in error ---TVD Preserved --Testing dt=0.00333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00333-0.00179 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00334-0.00142 (0.00192) Potential Increase in error ---TVD Preserved --Testing dt=0.00335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00335-0.00105 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.00336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00336-0.00068 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00337-0.00031 (0.00306) Potential Increase in error ---TVD Preserved --Testing dt=0.00338 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00338-0.00332 (6e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00339 ---TVD Violated after 7 steps t=0.023730 (3.756234e-05) L2 error at time of violation: 0.0446709 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003381-0.003284 (9.7e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.003382 ---TVD Violated after 9 steps t=0.030438 (1.730635e-05) L2 error at time of violation: 0.0377666 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003381 Theoretial Max dt=0.011620 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 5 steps t=0.040000 (-1.385465e-02) L2 error at time of violation: 0.0710263 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.0078 ---POS Violated after 5 steps t=0.039000 (-7.094206e-04) L2 error at time of violation: 0.0709628 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00771-0.00164 (0.00607) Potential Increase in error ---POS Preserved --Testing dt=0.00772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00772-0.00148 (0.00624) Potential Increase in error ---POS Preserved --Testing dt=0.00773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00773-0.00132 (0.00641) Potential Increase in error ---POS Preserved --Testing dt=0.00774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00774-0.00116 (0.00658) Potential Increase in error ---POS Preserved --Testing dt=0.00775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00775-0.001 (0.00675) Potential Increase in error ---POS Preserved --Testing dt=0.00776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00776-0.00084 (0.00692) Potential Increase in error ---POS Preserved --Testing dt=0.00777 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00777-0.00068 (0.00709) Potential Increase in error ---POS Preserved --Testing dt=0.00778 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00778-0.00052 (0.00726) Potential Increase in error ---POS Preserved --Testing dt=0.00779 ---POS Violated after 5 steps t=0.038950 (-7.680245e-05) L2 error at time of violation: 0.0709599 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007781-0.000504 (0.007277) Potential Increase in error ---POS Preserved --Testing dt=0.007782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007782-0.000488 (0.007294) Potential Increase in error ---POS Preserved --Testing dt=0.007783 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007783-0.000472 (0.007311) Potential Increase in error ---POS Preserved --Testing dt=0.007784 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007784-0.000456 (0.007328) Potential Increase in error ---POS Preserved --Testing dt=0.007785 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007785-0.00044 (0.007345) Potential Increase in error ---POS Preserved --Testing dt=0.007786 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007786-0.000424 (0.007362) Potential Increase in error ---POS Preserved --Testing dt=0.007787 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007787-0.000408 (0.007379) Potential Increase in error ---POS Preserved --Testing dt=0.007788 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007788-0.000392 (0.007396) Potential Increase in error ---POS Preserved --Testing dt=0.007789 ---POS Violated after 5 steps t=0.038945 (-1.390484e-05) L2 error at time of violation: 0.0709596 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007788 Theoretial Max dt=0.011620 results_pos = max_dt: 0.0078 s: 3 k: 5 p: [] dx: 0.0100 r: 1.1620 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 5 steps t=0.040000 (4.511583e-05) L2 error at time of violation: 0.0357664 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 ---TVD Violated after 6 steps t=0.046200 (8.184926e-06) L2 error at time of violation: 0.0299886 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00761-0.00324 (0.00437) Potential Increase in error ---TVD Preserved --Testing dt=0.00762 ---TVD Violated after 6 steps t=0.045720 (1.926068e-07) L2 error at time of violation: 0.0313142 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007611-0.003224 (0.004387) Potential Increase in error ---TVD Preserved --Testing dt=0.007612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007612-0.003208 (0.004404) Potential Increase in error ---TVD Preserved --Testing dt=0.007613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007613-0.003192 (0.004421) Potential Increase in error ---TVD Preserved --Testing dt=0.007614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007614-0.003176 (0.004438) Potential Increase in error ---TVD Preserved --Testing dt=0.007615 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007615-0.00316 (0.004455) Potential Increase in error ---TVD Preserved --Testing dt=0.007616 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007616-0.003144 (0.004472) Potential Increase in error ---TVD Preserved --Testing dt=0.007617 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007617-0.003128 (0.004489) Potential Increase in error ---TVD Preserved --Testing dt=0.007618 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007618-0.003112 (0.004506) Potential Increase in error ---TVD Preserved --Testing dt=0.007619 ---TVD Violated after 6 steps t=0.045714 (8.604002e-08) L2 error at time of violation: 0.0313317 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007618 Theoretial Max dt=0.024232 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 8 steps t=0.120000 (-1.512195e-02) L2 error at time of violation: 0.0897692 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.0148 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0148-0.0066 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0149 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0149-0.0058 (0.0091) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 8 steps t=0.120000 (-1.512195e-02) L2 error at time of violation: 0.0897692 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01491-0.00572 (0.00919) Potential Increase in error ---POS Preserved --Testing dt=0.01492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01492-0.00564 (0.00928) Potential Increase in error ---POS Preserved --Testing dt=0.01493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01493-0.00556 (0.00937) Potential Increase in error ---POS Preserved --Testing dt=0.01494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01494-0.00548 (0.00946) Potential Increase in error ---POS Preserved --Testing dt=0.01495 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01495-0.0054 (0.00955) Potential Increase in error ---POS Preserved --Testing dt=0.01496 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01496-0.00532 (0.00964) Potential Increase in error ---POS Preserved --Testing dt=0.01497 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01497-0.00524 (0.00973) Potential Increase in error ---POS Preserved --Testing dt=0.01498 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01498-0.00516 (0.00982) Potential Increase in error ---POS Preserved --Testing dt=0.01499 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01499-0.00508 (0.00991) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 8 steps t=0.120000 (-1.512195e-02) L2 error at time of violation: 0.0897692 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014991-0.005072 (0.009919) Potential Increase in error ---POS Preserved --Testing dt=0.014992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014992-0.005064 (0.009928) Potential Increase in error ---POS Preserved --Testing dt=0.014993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014993-0.005056 (0.009937) Potential Increase in error ---POS Preserved --Testing dt=0.014994 ---POS Violated after 8 steps t=0.119952 (-6.828013e-03) L2 error at time of violation: 0.0923239 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014993 Theoretial Max dt=0.024232 results_pos = max_dt: 0.0150 s: 6 k: 3 p: [] dx: 0.0100 r: 2.4232 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 6 steps t=0.036000 (5.285126e-05) L2 error at time of violation: 0.0239785 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 ---TVD Violated after 10 steps t=0.052000 (2.486380e-09) L2 error at time of violation: 0.0172296 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00511 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00511-0.00236 (0.00275) Potential Increase in error ---TVD Preserved --Testing dt=0.00512 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00512-0.00212 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.00513 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00513-0.00188 (0.00325) Potential Increase in error ---TVD Preserved --Testing dt=0.00514 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00514-0.00164 (0.0035) Potential Increase in error ---TVD Preserved --Testing dt=0.00515 ---TVD Violated after 13 steps t=0.066950 (1.709521e-12) L2 error at time of violation: 0.0163507 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005141-0.001616 (0.003525) Potential Increase in error ---TVD Preserved --Testing dt=0.005142 ---TVD Violated after 14 steps t=0.071988 (1.323386e-13) L2 error at time of violation: 0.014528 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005141 Theoretial Max dt=0.008542 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 2 steps t=0.022000 (-8.628854e-03) L2 error at time of violation: 0.0419644 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 ---POS Violated after 7 steps t=0.072100 (-2.122116e-04) L2 error at time of violation: 0.0710026 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01021-0.00248 (0.00773) Potential Increase in error ---POS Preserved --Testing dt=0.01022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01022-0.00236 (0.00786) Potential Increase in error ---POS Preserved --Testing dt=0.01023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01023-0.00224 (0.00799) Potential Increase in error ---POS Preserved --Testing dt=0.01024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01024-0.00212 (0.00812) Potential Increase in error ---POS Preserved --Testing dt=0.01025 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01025-0.002 (0.00825) Potential Increase in error ---POS Preserved --Testing dt=0.01026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01026-0.00188 (0.00838) Potential Increase in error ---POS Preserved --Testing dt=0.01027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01027-0.00176 (0.00851) Potential Increase in error ---POS Preserved --Testing dt=0.01028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01028-0.00164 (0.00864) Potential Increase in error ---POS Preserved --Testing dt=0.01029 ---POS Violated after 7 steps t=0.072030 (-5.026580e-05) L2 error at time of violation: 0.0673868 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010281 ---POS Violated after 10 steps t=0.102810 (-3.735574e-03) L2 error at time of violation: 0.0964065 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010280 Theoretial Max dt=0.008542 results_pos = max_dt: 0.0103 s: 4 k: 2 p: [] dx: 0.0100 r: 0.8542 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 14 steps t=0.042000 (9.270534e-04) L2 error at time of violation: 0.0350409 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 ---TVD Violated after 14 steps t=0.033600 (1.333550e-04) L2 error at time of violation: 0.0381099 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00231-0.00026 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00232-0.00204 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00233-0.00151 (0.00082) Potential Increase in error ---TVD Preserved --Testing dt=0.00234 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00234-0.00098 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00235 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00235-0.00045 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00236 ---TVD Violated after 14 steps t=0.033040 (1.458386e-05) L2 error at time of violation: 0.0263703 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002351-0.000397 (0.001954) Potential Increase in error ---TVD Preserved --Testing dt=0.002352 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002352-0.000344 (0.002008) Potential Increase in error ---TVD Preserved --Testing dt=0.002353 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002353-0.000291 (0.002062) Potential Increase in error ---TVD Preserved --Testing dt=0.002354 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002354-0.000238 (0.002116) Potential Increase in error ---TVD Preserved --Testing dt=0.002355 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002355-0.000185 (0.00217) Potential Increase in error ---TVD Preserved --Testing dt=0.002356 ---TVD Violated after 14 steps t=0.032984 (2.004367e-06) L2 error at time of violation: 0.0263281 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002355 Theoretial Max dt=0.007072 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s7k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Violated after 7 steps t=0.042000 (-8.620800e-02) L2 error at time of violation: 0.0716887 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 ---POS Violated after 7 steps t=0.035700 (-2.538986e-03) L2 error at time of violation: 0.0634393 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00501-0.00476 (0.00025) Potential Increase in error ---POS Preserved --Testing dt=0.00502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00502-0.00452 (0.0005) Potential Increase in error ---POS Preserved --Testing dt=0.00503 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00503-0.00428 (0.00075) Potential Increase in error ---POS Preserved --Testing dt=0.00504 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00504-0.00404 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.00505 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00505-0.0038 (0.00125) Potential Increase in error ---POS Preserved --Testing dt=0.00506 ---POS Violated after 7 steps t=0.035420 (-8.044732e-05) L2 error at time of violation: 0.0636033 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005051-0.003776 (0.001275) Potential Increase in error ---POS Preserved --Testing dt=0.005052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005052-0.003752 (0.0013) Potential Increase in error ---POS Preserved --Testing dt=0.005053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005053-0.003728 (0.001325) Potential Increase in error ---POS Preserved --Testing dt=0.005054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005054-0.003704 (0.00135) Potential Increase in error ---POS Preserved --Testing dt=0.005055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005055-0.00368 (0.001375) Potential Increase in error ---POS Preserved --Testing dt=0.005056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005056-0.003656 (0.0014) Potential Increase in error ---POS Preserved --Testing dt=0.005057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005057-0.003632 (0.001425) Potential Increase in error ---POS Preserved --Testing dt=0.005058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005058-0.003608 (0.00145) Potential Increase in error ---POS Preserved --Testing dt=0.005059 ---POS Violated after 7 steps t=0.035413 (-1.973661e-05) L2 error at time of violation: 0.0636076 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005058 Theoretial Max dt=0.007072 results_pos = max_dt: 0.0051 s: 7 k: 7 p: [] dx: 0.0100 r: 0.7072 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 5 steps t=0.045000 (4.488624e-03) L2 error at time of violation: 0.0394229 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 ---TVD Violated after 6 steps t=0.051600 (3.611049e-06) L2 error at time of violation: 0.0317069 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00851-0.00586 (0.00265) Potential Increase in error ---TVD Preserved --Testing dt=0.00852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00852-0.00572 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.00853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00853-0.00558 (0.00295) Potential Increase in error ---TVD Preserved --Testing dt=0.00854 ---TVD Violated after 9 steps t=0.076860 (1.670844e-09) L2 error at time of violation: 0.0191929 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008531-0.005566 (0.002965) Potential Increase in error ---TVD Preserved --Testing dt=0.008532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008532-0.005552 (0.00298) Potential Increase in error ---TVD Preserved --Testing dt=0.008533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008533-0.005538 (0.002995) Potential Increase in error ---TVD Preserved --Testing dt=0.008534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008534-0.005524 (0.00301) Potential Increase in error ---TVD Preserved --Testing dt=0.008535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008535-0.00551 (0.003025) Potential Increase in error ---TVD Preserved --Testing dt=0.008536 ---TVD Violated after 9 steps t=0.076824 (3.221473e-10) L2 error at time of violation: 0.0191996 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008535 Theoretial Max dt=0.023888 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 3 steps t=0.051000 (-1.317930e-02) L2 error at time of violation: 0.077038 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 ---POS Violated after 3 steps t=0.049500 (-5.532568e-04) L2 error at time of violation: 0.0772688 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01641-0.01013 (0.00628) Potential Increase in error ---POS Preserved --Testing dt=0.01642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01642-0.01006 (0.00636) Potential Increase in error ---POS Preserved --Testing dt=0.01643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01643-0.00999 (0.00644) Potential Increase in error ---POS Preserved --Testing dt=0.01644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01644-0.00992 (0.00652) Potential Increase in error ---POS Preserved --Testing dt=0.01645 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01645-0.00985 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.01646 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01646-0.00978 (0.00668) Potential Increase in error ---POS Preserved --Testing dt=0.01647 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01647-0.00971 (0.00676) Potential Increase in error ---POS Preserved --Testing dt=0.01648 ---POS Violated after 3 steps t=0.049440 (-1.070203e-04) L2 error at time of violation: 0.0772826 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016471 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016471-0.009703 (0.006768) Potential Increase in error ---POS Preserved --Testing dt=0.016472 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016472-0.009696 (0.006776) Potential Increase in error ---POS Preserved --Testing dt=0.016473 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016473-0.009689 (0.006784) Potential Increase in error ---POS Preserved --Testing dt=0.016474 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016474-0.009682 (0.006792) Potential Increase in error ---POS Preserved --Testing dt=0.016475 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016475-0.009675 (0.0068) Potential Increase in error ---POS Preserved --Testing dt=0.016476 ---POS Violated after 3 steps t=0.049428 (-1.832162e-05) L2 error at time of violation: 0.0772854 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016475 Theoretial Max dt=0.023888 results_pos = max_dt: 0.0165 s: 7 k: 3 p: [] dx: 0.0100 r: 2.3888 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 5 steps t=0.040000 (1.686950e-03) L2 error at time of violation: 0.0692572 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0078-0.0002 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0079 ---TVD Violated after 5 steps t=0.039500 (3.619561e-04) L2 error at time of violation: 0.0694951 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00781-4e-05 (0.00777) Potential Increase in error ---TVD Preserved --Testing dt=0.00782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00782-0.0077 (0.00012) Potential Increase in error ---TVD Preserved --Testing dt=0.00783 ---TVD Violated after 6 steps t=0.046980 (1.095704e-05) L2 error at time of violation: 0.0755403 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007821 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007821-0.007685 (0.000136) Potential Increase in error ---TVD Preserved --Testing dt=0.007822 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007822-0.00767 (0.000152) Potential Increase in error ---TVD Preserved --Testing dt=0.007823 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007823-0.007655 (0.000168) Potential Increase in error ---TVD Preserved --Testing dt=0.007824 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007824-0.00764 (0.000184) Potential Increase in error ---TVD Preserved --Testing dt=0.007825 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007825-0.007625 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.007826 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007826-0.00761 (0.000216) Potential Increase in error ---TVD Preserved --Testing dt=0.007827 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007827-0.007595 (0.000232) Potential Increase in error ---TVD Preserved --Testing dt=0.007828 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007828-0.00758 (0.000248) Potential Increase in error ---TVD Preserved --Testing dt=0.007829 ---TVD Violated after 6 steps t=0.046974 (2.968129e-06) L2 error at time of violation: 0.0755441 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007828 Theoretial Max dt=0.024758 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 5 steps t=0.085000 (-1.606819e-03) L2 error at time of violation: 0.103505 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0167-0.0081 (0.0086) Potential Increase in error ---POS Preserved --Testing dt=0.0168 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0168-0.0074 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0169 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0169-0.0067 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 5 steps t=0.085000 (-1.606819e-03) L2 error at time of violation: 0.103505 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01691 ---POS Violated after 5 steps t=0.084550 (-4.175757e-05) L2 error at time of violation: 0.103478 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016901-0.006693 (0.010208) Potential Increase in error ---POS Preserved --Testing dt=0.016902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016902-0.006686 (0.010216) Potential Increase in error ---POS Preserved --Testing dt=0.016903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016903-0.006679 (0.010224) Potential Increase in error ---POS Preserved --Testing dt=0.016904 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016904-0.006672 (0.010232) Potential Increase in error ---POS Preserved --Testing dt=0.016905 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016905-0.006665 (0.01024) Potential Increase in error ---POS Preserved --Testing dt=0.016906 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016906-0.006658 (0.010248) Potential Increase in error ---POS Preserved --Testing dt=0.016907 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016907-0.006651 (0.010256) Potential Increase in error ---POS Preserved --Testing dt=0.016908 ---POS Violated after 5 steps t=0.084540 (-7.411486e-06) L2 error at time of violation: 0.103478 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016907 Theoretial Max dt=0.024758 results_pos = max_dt: 0.0169 s: 12 k: 5 p: [] dx: 0.0100 r: 2.4758 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 20s3k10p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 6 steps t=0.090000 (2.525628e-04) L2 error at time of violation: 0.0466977 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 ---TVD Violated after 8 steps t=0.114400 (1.614181e-03) L2 error at time of violation: 0.0316922 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01421-0.01132 (0.00289) Potential Increase in error ---TVD Preserved --Testing dt=0.01422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01422-0.01124 (0.00298) Potential Increase in error ---TVD Preserved --Testing dt=0.01423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01423-0.01116 (0.00307) Potential Increase in error ---TVD Preserved --Testing dt=0.01424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01424-0.01108 (0.00316) Potential Increase in error ---TVD Preserved --Testing dt=0.01425 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01425-0.011 (0.00325) Potential Increase in error ---TVD Preserved --Testing dt=0.01426 ---TVD Violated after 8 steps t=0.114080 (8.786039e-06) L2 error at time of violation: 0.0326417 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014251-0.010992 (0.003259) Potential Increase in error ---TVD Preserved --Testing dt=0.014252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014252-0.010984 (0.003268) Potential Increase in error ---TVD Preserved --Testing dt=0.014253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014253-0.010976 (0.003277) Potential Increase in error ---TVD Preserved --Testing dt=0.014254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014254-0.010968 (0.003286) Potential Increase in error ---TVD Preserved --Testing dt=0.014255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014255-0.01096 (0.003295) Potential Increase in error ---TVD Preserved --Testing dt=0.014256 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014256-0.010952 (0.003304) Potential Increase in error ---TVD Preserved --Testing dt=0.014257 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014257-0.010944 (0.003313) Potential Increase in error ---TVD Preserved --Testing dt=0.014258 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014258-0.010936 (0.003322) Potential Increase in error ---TVD Preserved --Testing dt=0.014259 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014259-0.010928 (0.003331) Potential Increase in error ---TVD Preserved --Testing dt=0.01426 ---TVD Violated after 8 steps t=0.114080 (8.786039e-06) L2 error at time of violation: 0.0326417 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014259 Theoretial Max dt=0.018348 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 20s3k10p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 ---POS Violated after 3 steps t=0.078000 (-3.268468e-02) L2 error at time of violation: 0.101184 Refining dt search increment 0.001->0.0001 --Testing dt=0.0251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0251-0.0246 (0.0005) Potential Increase in error ---POS Preserved --Testing dt=0.0252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0252-0.0242 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0253 ---POS Violated after 3 steps t=0.075900 (-3.547820e-03) L2 error at time of violation: 0.102314 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02521 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02521-0.02416 (0.00105) Potential Increase in error ---POS Preserved --Testing dt=0.02522 ---POS Violated after 3 steps t=0.075660 (-3.046167e-04) L2 error at time of violation: 0.10214 Refining dt search increment 1e-05->1e-06 --Testing dt=0.025211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025211-0.024156 (0.001055) Potential Increase in error ---POS Preserved --Testing dt=0.025212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025212-0.024152 (0.00106) Potential Increase in error ---POS Preserved --Testing dt=0.025213 ---POS Violated after 3 steps t=0.075639 (-1.629088e-05) L2 error at time of violation: 0.102125 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.025212 Theoretial Max dt=0.018348 results_pos = max_dt: 0.0252 s: 20 k: 3 p: [] dx: 0.0100 r: 1.8348 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 ---TVD Violated after 6 steps t=0.078000 (9.080916e-05) L2 error at time of violation: 0.0719721 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---TVD Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---TVD Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---TVD Preserved --Testing dt=0.0125 ---TVD Preserved --Testing dt=0.0126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0126-0.0116 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0127 ---TVD Violated after 6 steps t=0.076200 (6.339483e-06) L2 error at time of violation: 0.0735445 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01261-0.01151 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.01262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01262-0.01142 (0.0012) Potential Increase in error ---TVD Preserved --Testing dt=0.01263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01263-0.01133 (0.0013) Potential Increase in error ---TVD Preserved --Testing dt=0.01264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01264-0.01124 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.01265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01265-0.01115 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.01266 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01266-0.01106 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.01267 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01267-0.01097 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.01268 ---TVD Violated after 6 steps t=0.076080 (1.861570e-07) L2 error at time of violation: 0.0736611 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012671-0.010961 (0.00171) Potential Increase in error ---TVD Preserved --Testing dt=0.012672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012672-0.010952 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.012673 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012673-0.010943 (0.00173) Potential Increase in error ---TVD Preserved --Testing dt=0.012674 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012674-0.010934 (0.00174) Potential Increase in error ---TVD Preserved --Testing dt=0.012675 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012675-0.010925 (0.00175) Potential Increase in error ---TVD Preserved --Testing dt=0.012676 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012676-0.010916 (0.00176) Potential Increase in error ---TVD Preserved --Testing dt=0.012677 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012677-0.010907 (0.00177) Potential Increase in error ---TVD Preserved --Testing dt=0.012678 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012678-0.010898 (0.00178) Potential Increase in error ---TVD Preserved --Testing dt=0.012679 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012679-0.010889 (0.00179) Potential Increase in error ---TVD Preserved --Testing dt=0.01268 ---TVD Violated after 6 steps t=0.076080 (1.861570e-07) L2 error at time of violation: 0.0736611 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012679 Theoretial Max dt=0.039426 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 4 steps t=0.112000 (-5.030223e-03) L2 error at time of violation: 0.133043 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0166 (0.0105) Potential Increase in error ---POS Preserved --Testing dt=0.0272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0162 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0158 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0154 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.015 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.0276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0146 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0277-0.0142 (0.0135) Potential Increase in error ---POS Preserved --Testing dt=0.0278 ---POS Violated after 4 steps t=0.111200 (-1.021701e-03) L2 error at time of violation: 0.132847 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02771-0.01416 (0.01355) Potential Increase in error ---POS Preserved --Testing dt=0.02772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02772-0.01412 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.02773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02773-0.01408 (0.01365) Potential Increase in error ---POS Preserved --Testing dt=0.02774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02774-0.01404 (0.0137) Potential Increase in error ---POS Preserved --Testing dt=0.02775 ---POS Violated after 4 steps t=0.111000 (-5.386998e-05) L2 error at time of violation: 0.132817 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027741-0.014036 (0.013705) Potential Increase in error ---POS Preserved --Testing dt=0.027742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027742-0.014032 (0.01371) Potential Increase in error ---POS Preserved --Testing dt=0.027743 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027743-0.014028 (0.013715) Potential Increase in error ---POS Preserved --Testing dt=0.027744 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027744-0.014024 (0.01372) Potential Increase in error ---POS Preserved --Testing dt=0.027745 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027745-0.01402 (0.013725) Potential Increase in error ---POS Preserved --Testing dt=0.027746 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027746-0.014016 (0.01373) Potential Increase in error ---POS Preserved --Testing dt=0.027747 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027747-0.014012 (0.013735) Potential Increase in error ---POS Preserved --Testing dt=0.027748 ---POS Violated after 4 steps t=0.110992 (-1.545868e-05) L2 error at time of violation: 0.132816 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027747 Theoretial Max dt=0.039426 results_pos = max_dt: 0.0277 s: 9 k: 4 p: [] dx: 0.0100 r: 3.9426 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 10 steps t=0.020000 (5.680703e-02) L2 error at time of violation: 0.0228071 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 ---TVD Violated after 32 steps t=0.041600 (1.605686e-06) L2 error at time of violation: 0.0215379 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00121-0.00037 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.00122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00122-0.00056 (0.00066) Potential Increase in error ---TVD Preserved --Testing dt=0.00123 ---TVD Violated after 76 steps t=0.093480 (1.101341e-13) L2 error at time of violation: 0.0161337 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001221-0.000458 (0.000763) Potential Increase in error ---TVD Preserved --Testing dt=0.001222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001222-0.000356 (0.000866) Potential Increase in error ---TVD Preserved --Testing dt=0.001223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001223-0.000254 (0.000969) Potential Increase in error ---TVD Preserved --Testing dt=0.001224 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001224-0.000152 (0.001072) Potential Increase in error ---TVD Preserved --Testing dt=0.001225 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001225-5e-05 (0.001175) Potential Increase in error ---TVD Preserved --Testing dt=0.001226 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001226-0.001174 (5.2e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.001227 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001227-0.001073 (0.000154) Potential Increase in error ---TVD Preserved --Testing dt=0.001228 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001228-0.000972 (0.000256) Potential Increase in error ---TVD Preserved --Testing dt=0.001229 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001229-0.000871 (0.000358) Potential Increase in error ---TVD Preserved --Testing dt=0.00123 ---TVD Violated after 76 steps t=0.093480 (1.096900e-13) L2 error at time of violation: 0.0161337 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001229 Theoretial Max dt=0.002090 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 ---POS Violated after 5 steps t=0.015000 (-4.541109e-03) L2 error at time of violation: 0.0424764 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0024 ---POS Violated after 28 steps t=0.067200 (-2.665329e-02) L2 error at time of violation: 0.0364537 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00231-0.00026 (0.00205) Potential Increase in error ---POS Preserved --Testing dt=0.00232 ---POS Violated after 37 steps t=0.085840 (-2.245038e-03) L2 error at time of violation: 0.0352977 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002311-0.000206 (0.002105) Potential Increase in error ---POS Preserved --Testing dt=0.002312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002312-0.000152 (0.00216) Potential Increase in error ---POS Preserved --Testing dt=0.002313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002313-9.8e-05 (0.002215) Potential Increase in error ---POS Preserved --Testing dt=0.002314 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002314-4.4e-05 (0.00227) Potential Increase in error ---POS Preserved --Testing dt=0.002315 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002315-0.002305 (1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.002316 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002316-0.002252 (6.4e-05) Potential Increase in error ---POS Preserved --Testing dt=0.002317 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002317-0.002199 (0.000118) Potential Increase in error ---POS Preserved --Testing dt=0.002318 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002318-0.002146 (0.000172) Potential Increase in error ---POS Preserved --Testing dt=0.002319 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002319-0.002093 (0.000226) Potential Increase in error ---POS Preserved --Testing dt=0.00232 ---POS Violated after 37 steps t=0.085840 (-2.245038e-03) L2 error at time of violation: 0.0352977 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002319 Theoretial Max dt=0.002090 results_pos = max_dt: 0.0023 s: 2 k: 5 p: [] dx: 0.0100 r: 0.2090 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 6 steps t=0.054000 (8.430989e-03) L2 error at time of violation: 0.0641115 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 ---TVD Violated after 13 steps t=0.107900 (3.608225e-13) L2 error at time of violation: 0.0271671 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00821 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00821-0.00185 (0.00636) Potential Increase in error ---TVD Preserved --Testing dt=0.00822 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00822-0.0017 (0.00652) Potential Increase in error ---TVD Preserved --Testing dt=0.00823 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00823-0.00155 (0.00668) Potential Increase in error ---TVD Preserved --Testing dt=0.00824 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00824-0.0014 (0.00684) Potential Increase in error ---TVD Preserved --Testing dt=0.00825 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00825-0.00125 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.00826 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00826-0.0011 (0.00716) Potential Increase in error ---TVD Preserved --Testing dt=0.00827 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00827-0.00095 (0.00732) Potential Increase in error ---TVD Preserved --Testing dt=0.00828 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00828-0.0008 (0.00748) Potential Increase in error ---TVD Preserved --Testing dt=0.00829 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00829-0.00065 (0.00764) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 ---TVD Violated after 13 steps t=0.107900 (3.603784e-13) L2 error at time of violation: 0.0271671 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008291-0.000635 (0.007656) Potential Increase in error ---TVD Preserved --Testing dt=0.008292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008292-0.00062 (0.007672) Potential Increase in error ---TVD Preserved --Testing dt=0.008293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008293-0.000605 (0.007688) Potential Increase in error ---TVD Preserved --Testing dt=0.008294 ---TVD Violated after 13 steps t=0.107822 (1.221245e-13) L2 error at time of violation: 0.0270276 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008293 Theoretial Max dt=0.024429 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 4 steps t=0.068000 (-6.741106e-03) L2 error at time of violation: 0.102553 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0167-0.0081 (0.0086) Potential Increase in error ---POS Preserved --Testing dt=0.0168 ---POS Violated after 4 steps t=0.067200 (-2.162128e-03) L2 error at time of violation: 0.10246 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01671 ---POS Violated after 4 steps t=0.066840 (-1.970094e-04) L2 error at time of violation: 0.102429 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016701 ---POS Violated after 4 steps t=0.066804 (-3.940765e-06) L2 error at time of violation: 0.102425 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016700 Theoretial Max dt=0.024429 results_pos = max_dt: 0.0167 s: 7 k: 4 p: [] dx: 0.0100 r: 2.4429 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 5 steps t=0.045000 (6.018368e-03) L2 error at time of violation: 0.0259894 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 ---TVD Violated after 11 steps t=0.090200 (5.786407e-04) L2 error at time of violation: 0.0187139 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00811 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00811-0.00335 (0.00476) Potential Increase in error ---TVD Preserved --Testing dt=0.00812 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00812-0.0032 (0.00492) Potential Increase in error ---TVD Preserved --Testing dt=0.00813 ---TVD Violated after 11 steps t=0.089430 (3.082575e-04) L2 error at time of violation: 0.0186053 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008121-0.003185 (0.004936) Potential Increase in error ---TVD Preserved --Testing dt=0.008122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008122-0.00317 (0.004952) Potential Increase in error ---TVD Preserved --Testing dt=0.008123 ---TVD Violated after 11 steps t=0.089353 (1.817601e-05) L2 error at time of violation: 0.0174959 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008122 Theoretial Max dt=0.029879 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 ---POS Violated after 6 steps t=0.114000 (-2.136228e-03) L2 error at time of violation: 0.0713568 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---POS Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---POS Preserved --Testing dt=0.0186 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0186-0.0134 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0187 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0187-0.0128 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.0188 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0188-0.0122 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0189 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0189-0.0116 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.019 ---POS Violated after 6 steps t=0.114000 (-2.136228e-03) L2 error at time of violation: 0.0713568 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01891 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01891-0.01154 (0.00737) Potential Increase in error ---POS Preserved --Testing dt=0.01892 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01892-0.01148 (0.00744) Potential Increase in error ---POS Preserved --Testing dt=0.01893 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01893-0.01142 (0.00751) Potential Increase in error ---POS Preserved --Testing dt=0.01894 ---POS Violated after 6 steps t=0.113640 (-3.097417e-04) L2 error at time of violation: 0.071014 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018931-0.011414 (0.007517) Potential Increase in error ---POS Preserved --Testing dt=0.018932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018932-0.011408 (0.007524) Potential Increase in error ---POS Preserved --Testing dt=0.018933 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018933-0.011402 (0.007531) Potential Increase in error ---POS Preserved --Testing dt=0.018934 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018934-0.011396 (0.007538) Potential Increase in error ---POS Preserved --Testing dt=0.018935 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018935-0.01139 (0.007545) Potential Increase in error ---POS Preserved --Testing dt=0.018936 ---POS Violated after 6 steps t=0.113616 (-2.475133e-05) L2 error at time of violation: 0.070997 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018935 Theoretial Max dt=0.029879 results_pos = max_dt: 0.0189 s: 5 k: 2 p: [] dx: 0.0100 r: 2.9879 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 5 steps t=0.030000 (1.051327e-02) L2 error at time of violation: 0.0521333 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 ---TVD Violated after 6 steps t=0.030600 (1.407244e-03) L2 error at time of violation: 0.0455181 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00501-0.00476 (0.00025) Potential Increase in error ---TVD Preserved --Testing dt=0.00502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00502-0.00452 (0.0005) Potential Increase in error ---TVD Preserved --Testing dt=0.00503 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00503-0.00428 (0.00075) Potential Increase in error ---TVD Preserved --Testing dt=0.00504 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00504-0.00404 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00505 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00505-0.0038 (0.00125) Potential Increase in error ---TVD Preserved --Testing dt=0.00506 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00506-0.00356 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.00507 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00507-0.00332 (0.00175) Potential Increase in error ---TVD Preserved --Testing dt=0.00508 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00508-0.00308 (0.002) Potential Increase in error ---TVD Preserved --Testing dt=0.00509 ---TVD Violated after 6 steps t=0.030540 (5.228841e-04) L2 error at time of violation: 0.0455202 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005081-0.003056 (0.002025) Potential Increase in error ---TVD Preserved --Testing dt=0.005082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005082-0.003032 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.005083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005083-0.003008 (0.002075) Potential Increase in error ---TVD Preserved --Testing dt=0.005084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005084-0.002984 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.005085 ---TVD Violated after 6 steps t=0.030510 (7.785719e-05) L2 error at time of violation: 0.0455215 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005084 Theoretial Max dt=0.015374 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 4 steps t=0.044000 (-2.004362e-02) L2 error at time of violation: 0.0780185 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---POS Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.0105 ---POS Violated after 4 steps t=0.042000 (-1.277948e-03) L2 error at time of violation: 0.0790046 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01041-8e-05 (0.01033) Potential Increase in error ---POS Preserved --Testing dt=0.01042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01042-0.01038 (4e-05) Potential Increase in error ---POS Preserved --Testing dt=0.01043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01043-0.01027 (0.00016) Potential Increase in error ---POS Preserved --Testing dt=0.01044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01044-0.01016 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.01045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01045-0.01005 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.01046 ---POS Violated after 10 steps t=0.104600 (-1.536169e-02) L2 error at time of violation: 0.0768371 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010451-0.010039 (0.000412) Potential Increase in error ---POS Preserved --Testing dt=0.010452 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010452-0.010028 (0.000424) Potential Increase in error ---POS Preserved --Testing dt=0.010453 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010453-0.010017 (0.000436) Potential Increase in error ---POS Preserved --Testing dt=0.010454 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010454-0.010006 (0.000448) Potential Increase in error ---POS Preserved --Testing dt=0.010455 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010455-0.009995 (0.00046) Potential Increase in error ---POS Preserved --Testing dt=0.010456 ---POS Violated after 10 steps t=0.104560 (-8.102677e-03) L2 error at time of violation: 0.0762122 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010455 Theoretial Max dt=0.015374 results_pos = max_dt: 0.0105 s: 4 k: 4 p: [] dx: 0.0100 r: 1.5374 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 5 steps t=0.060000 (6.205437e-04) L2 error at time of violation: 0.103212 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 ---TVD Violated after 5 steps t=0.059000 (1.212265e-04) L2 error at time of violation: 0.0982904 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01171-0.0079 (0.00381) Potential Increase in error ---TVD Preserved --Testing dt=0.01172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01172-0.0078 (0.00392) Potential Increase in error ---TVD Preserved --Testing dt=0.01173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01173-0.0077 (0.00403) Potential Increase in error ---TVD Preserved --Testing dt=0.01174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01174-0.0076 (0.00414) Potential Increase in error ---TVD Preserved --Testing dt=0.01175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01175-0.0075 (0.00425) Potential Increase in error ---TVD Preserved --Testing dt=0.01176 ---TVD Violated after 5 steps t=0.058800 (1.947563e-06) L2 error at time of violation: 0.0983101 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011751-0.00749 (0.004261) Potential Increase in error ---TVD Preserved --Testing dt=0.011752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011752-0.00748 (0.004272) Potential Increase in error ---TVD Preserved --Testing dt=0.011753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011753-0.00747 (0.004283) Potential Increase in error ---TVD Preserved --Testing dt=0.011754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011754-0.00746 (0.004294) Potential Increase in error ---TVD Preserved --Testing dt=0.011755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011755-0.00745 (0.004305) Potential Increase in error ---TVD Preserved --Testing dt=0.011756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011756-0.00744 (0.004316) Potential Increase in error ---TVD Preserved --Testing dt=0.011757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011757-0.00743 (0.004327) Potential Increase in error ---TVD Preserved --Testing dt=0.011758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011758-0.00742 (0.004338) Potential Increase in error ---TVD Preserved --Testing dt=0.011759 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011759-0.00741 (0.004349) Potential Increase in error ---TVD Preserved --Testing dt=0.01176 ---TVD Violated after 5 steps t=0.058800 (1.947563e-06) L2 error at time of violation: 0.0983101 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011759 Theoretial Max dt=0.043098 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-9.960276e-02) L2 error at time of violation: 0.17592 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-6.724587e-02) L2 error at time of violation: 0.174158 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-6.441896e-02) L2 error at time of violation: 0.173986 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-6.413985e-02) L2 error at time of violation: 0.17397 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.043098 results_pos = max_dt: 0.0320 s: 10 k: 5 p: [] dx: 0.0100 r: 4.3098 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s7k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 11 steps t=0.066000 (1.805336e-05) L2 error at time of violation: 0.0681223 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0058-0.0032 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0059-0.0011 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 11 steps t=0.066000 (1.805336e-05) L2 error at time of violation: 0.0681223 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00591-0.00089 (0.00502) Potential Increase in error ---TVD Preserved --Testing dt=0.00592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00592-0.00068 (0.00524) Potential Increase in error ---TVD Preserved --Testing dt=0.00593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00593-0.00047 (0.00546) Potential Increase in error ---TVD Preserved --Testing dt=0.00594 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00594-0.00026 (0.00568) Potential Increase in error ---TVD Preserved --Testing dt=0.00595 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00595-5e-05 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.00596 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00596-0.0058 (0.00016) Potential Increase in error ---TVD Preserved --Testing dt=0.00597 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00597-0.0056 (0.00037) Potential Increase in error ---TVD Preserved --Testing dt=0.00598 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00598-0.0054 (0.00058) Potential Increase in error ---TVD Preserved --Testing dt=0.00599 ---TVD Violated after 11 steps t=0.065890 (7.554738e-06) L2 error at time of violation: 0.068223 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005981-0.00538 (0.000601) Potential Increase in error ---TVD Preserved --Testing dt=0.005982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005982-0.00536 (0.000622) Potential Increase in error ---TVD Preserved --Testing dt=0.005983 ---TVD Violated after 11 steps t=0.065813 (4.925239e-08) L2 error at time of violation: 0.0682944 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005982 Theoretial Max dt=0.016864 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s7k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 7 steps t=0.084000 (-1.299055e-02) L2 error at time of violation: 0.121885 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0116 ---POS Violated after 8 steps t=0.092800 (-1.594863e-03) L2 error at time of violation: 0.112038 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01151-0.0099 (0.00161) Potential Increase in error ---POS Preserved --Testing dt=0.01152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01152-0.0098 (0.00172) Potential Increase in error ---POS Preserved --Testing dt=0.01153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01153-0.0097 (0.00183) Potential Increase in error ---POS Preserved --Testing dt=0.01154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01154-0.0096 (0.00194) Potential Increase in error ---POS Preserved --Testing dt=0.01155 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01155-0.0095 (0.00205) Potential Increase in error ---POS Preserved --Testing dt=0.01156 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01156-0.0094 (0.00216) Potential Increase in error ---POS Preserved --Testing dt=0.01157 ---POS Violated after 8 steps t=0.092560 (-3.158611e-04) L2 error at time of violation: 0.111965 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011561-0.00939 (0.002171) Potential Increase in error ---POS Preserved --Testing dt=0.011562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011562-0.00938 (0.002182) Potential Increase in error ---POS Preserved --Testing dt=0.011563 ---POS Violated after 8 steps t=0.092504 (-2.378891e-05) L2 error at time of violation: 0.111948 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011562 Theoretial Max dt=0.016864 results_pos = max_dt: 0.0116 s: 5 k: 7 p: [] dx: 0.0100 r: 1.6864 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 6 steps t=0.084000 (3.271516e-02) L2 error at time of violation: 0.0993992 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0134 ---TVD Violated after 9 steps t=0.120600 (2.124298e-02) L2 error at time of violation: 0.0798052 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01331-0.00521 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.01332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01332-0.00512 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.01333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01333-0.00503 (0.0083) Potential Increase in error ---TVD Preserved --Testing dt=0.01334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01334-0.00494 (0.0084) Potential Increase in error ---TVD Preserved --Testing dt=0.01335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01335-0.00485 (0.0085) Potential Increase in error ---TVD Preserved --Testing dt=0.01336 ---TVD Violated after 9 steps t=0.120240 (1.255070e-04) L2 error at time of violation: 0.0799906 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013351-0.004841 (0.00851) Potential Increase in error ---TVD Preserved --Testing dt=0.013352 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013352-0.004832 (0.00852) Potential Increase in error ---TVD Preserved --Testing dt=0.013353 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013353-0.004823 (0.00853) Potential Increase in error ---TVD Preserved --Testing dt=0.013354 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013354-0.004814 (0.00854) Potential Increase in error ---TVD Preserved --Testing dt=0.013355 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013355-0.004805 (0.00855) Potential Increase in error ---TVD Preserved --Testing dt=0.013356 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013356-0.004796 (0.00856) Potential Increase in error ---TVD Preserved --Testing dt=0.013357 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013357-0.004787 (0.00857) Potential Increase in error ---TVD Preserved --Testing dt=0.013358 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013358-0.004778 (0.00858) Potential Increase in error ---TVD Preserved --Testing dt=0.013359 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013359-0.004769 (0.00859) Potential Increase in error ---TVD Preserved --Testing dt=0.01336 ---TVD Violated after 9 steps t=0.120240 (1.255070e-04) L2 error at time of violation: 0.0799906 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013359 Theoretial Max dt=0.037552 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-4.613792e-01) L2 error at time of violation: 0.190492 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-3.607536e-01) L2 error at time of violation: 0.1838 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-3.511328e-01) L2 error at time of violation: 0.183205 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-3.501759e-01) L2 error at time of violation: 0.183147 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.037552 results_pos = max_dt: 0.0320 s: 7 k: 5 p: [] dx: 0.0100 r: 3.7552 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 4 steps t=0.028000 (3.855067e-05) L2 error at time of violation: 0.0241365 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 ---TVD Violated after 5 steps t=0.033000 (8.799733e-06) L2 error at time of violation: 0.0203642 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00651-0.00131 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.00652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00652-0.00112 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.00653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00653-0.00093 (0.0056) Potential Increase in error ---TVD Preserved --Testing dt=0.00654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00654-0.00074 (0.0058) Potential Increase in error ---TVD Preserved --Testing dt=0.00655 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00655-0.00055 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.00656 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00656-0.00036 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.00657 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00657-0.00017 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.00658 ---TVD Violated after 5 steps t=0.032900 (2.296500e-06) L2 error at time of violation: 0.0203569 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006571 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006571-0.000151 (0.00642) Potential Increase in error ---TVD Preserved --Testing dt=0.006572 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006572-0.000132 (0.00644) Potential Increase in error ---TVD Preserved --Testing dt=0.006573 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006573-0.000113 (0.00646) Potential Increase in error ---TVD Preserved --Testing dt=0.006574 ---TVD Violated after 5 steps t=0.032870 (3.106755e-07) L2 error at time of violation: 0.0203588 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006573 Theoretial Max dt=0.016481 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 8 steps t=0.096000 (-2.150808e-02) L2 error at time of violation: 0.0790658 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---POS Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 8 steps t=0.096000 (-2.150808e-02) L2 error at time of violation: 0.0790658 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 ---POS Violated after 7 steps t=0.083370 (-1.479716e-02) L2 error at time of violation: 0.0741594 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011901-0.00599 (0.005911) Potential Increase in error ---POS Preserved --Testing dt=0.011902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011902-0.00598 (0.005922) Potential Increase in error ---POS Preserved --Testing dt=0.011903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011903-0.00597 (0.005933) Potential Increase in error ---POS Preserved --Testing dt=0.011904 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011904-0.00596 (0.005944) Potential Increase in error ---POS Preserved --Testing dt=0.011905 ---POS Violated after 6 steps t=0.071430 (-8.994617e-04) L2 error at time of violation: 0.0645504 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011904 Theoretial Max dt=0.016481 results_pos = max_dt: 0.0119 s: 5 k: 2 p: [] dx: 0.0100 r: 1.6481 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 10 steps t=0.060000 (1.328866e-05) L2 error at time of violation: 0.0451959 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0058 ---TVD Violated after 10 steps t=0.058000 (4.550176e-06) L2 error at time of violation: 0.0457662 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00571 ---TVD Violated after 10 steps t=0.057100 (3.200105e-07) L2 error at time of violation: 0.0462421 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005701-0.005279 (0.000422) Potential Increase in error ---TVD Preserved --Testing dt=0.005702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005702-0.005258 (0.000444) Potential Increase in error ---TVD Preserved --Testing dt=0.005703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005703-0.005237 (0.000466) Potential Increase in error ---TVD Preserved --Testing dt=0.005704 ---TVD Violated after 10 steps t=0.057040 (3.873538e-08) L2 error at time of violation: 0.0462812 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005703 Theoretial Max dt=0.018038 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 5 steps t=0.065000 (-2.223617e-02) L2 error at time of violation: 0.101856 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---POS Preserved --Testing dt=0.0123 ---POS Violated after 6 steps t=0.073800 (-3.363479e-04) L2 error at time of violation: 0.0953089 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01221-0.0029 (0.00931) Potential Increase in error ---POS Preserved --Testing dt=0.01222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01222-0.0028 (0.00942) Potential Increase in error ---POS Preserved --Testing dt=0.01223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01223-0.0027 (0.00953) Potential Increase in error ---POS Preserved --Testing dt=0.01224 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01224-0.0026 (0.00964) Potential Increase in error ---POS Preserved --Testing dt=0.01225 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01225-0.0025 (0.00975) Potential Increase in error ---POS Preserved --Testing dt=0.01226 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01226-0.0024 (0.00986) Potential Increase in error ---POS Preserved --Testing dt=0.01227 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01227-0.0023 (0.00997) Potential Increase in error ---POS Preserved --Testing dt=0.01228 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01228-0.0022 (0.01008) Potential Increase in error ---POS Preserved --Testing dt=0.01229 ---POS Violated after 6 steps t=0.073740 (-2.928376e-05) L2 error at time of violation: 0.0952908 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012281 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012281-0.00219 (0.010091) Potential Increase in error ---POS Preserved --Testing dt=0.012282 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012282-0.00218 (0.010102) Potential Increase in error ---POS Preserved --Testing dt=0.012283 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012283-0.00217 (0.010113) Potential Increase in error ---POS Preserved --Testing dt=0.012284 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012284-0.00216 (0.010124) Potential Increase in error ---POS Preserved --Testing dt=0.012285 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012285-0.00215 (0.010135) Potential Increase in error ---POS Preserved --Testing dt=0.012286 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012286-0.00214 (0.010146) Potential Increase in error ---POS Preserved --Testing dt=0.012287 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012287-0.00213 (0.010157) Potential Increase in error ---POS Preserved --Testing dt=0.012288 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012288-0.00212 (0.010168) Potential Increase in error ---POS Preserved --Testing dt=0.012289 ---POS Violated after 7 steps t=0.086023 (-2.246051e-07) L2 error at time of violation: 0.0883317 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012288 Theoretial Max dt=0.018038 results_pos = max_dt: 0.0123 s: 6 k: 5 p: [] dx: 0.0100 r: 1.8038 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 3 steps t=0.042000 (3.188524e-03) L2 error at time of violation: 0.0348459 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 ---TVD Violated after 5 steps t=0.066500 (5.492757e-04) L2 error at time of violation: 0.0242906 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01321-0.00611 (0.0071) Potential Increase in error ---TVD Preserved --Testing dt=0.01322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01322-0.00602 (0.0072) Potential Increase in error ---TVD Preserved --Testing dt=0.01323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01323-0.00593 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.01324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01324-0.00584 (0.0074) Potential Increase in error ---TVD Preserved --Testing dt=0.01325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01325-0.00575 (0.0075) Potential Increase in error ---TVD Preserved --Testing dt=0.01326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01326-0.00566 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.01327 ---TVD Violated after 5 steps t=0.066350 (7.019878e-05) L2 error at time of violation: 0.0243071 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013261-0.005651 (0.00761) Potential Increase in error ---TVD Preserved --Testing dt=0.013262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013262-0.005642 (0.00762) Potential Increase in error ---TVD Preserved --Testing dt=0.013263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013263-0.005633 (0.00763) Potential Increase in error ---TVD Preserved --Testing dt=0.013264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013264-0.005624 (0.00764) Potential Increase in error ---TVD Preserved --Testing dt=0.013265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013265-0.005615 (0.00765) Potential Increase in error ---TVD Preserved --Testing dt=0.013266 ---TVD Violated after 5 steps t=0.066330 (1.623484e-06) L2 error at time of violation: 0.0243114 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013265 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 ---POS Violated after 4 steps t=0.108000 (-6.438914e-02) L2 error at time of violation: 0.0715259 Refining dt search increment 0.001->0.0001 --Testing dt=0.0261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0261-0.0206 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0262 ---POS Violated after 4 steps t=0.104800 (-1.678365e-02) L2 error at time of violation: 0.0622472 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02611-0.02056 (0.00555) Potential Increase in error ---POS Preserved --Testing dt=0.02612 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02612-0.02052 (0.0056) Potential Increase in error ---POS Preserved --Testing dt=0.02613 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02613-0.02048 (0.00565) Potential Increase in error ---POS Preserved --Testing dt=0.02614 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02614-0.02044 (0.0057) Potential Increase in error ---POS Preserved --Testing dt=0.02615 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02615-0.0204 (0.00575) Potential Increase in error ---POS Preserved --Testing dt=0.02616 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02616-0.02036 (0.0058) Potential Increase in error ---POS Preserved --Testing dt=0.02617 ---POS Violated after 4 steps t=0.104680 (-1.061654e-03) L2 error at time of violation: 0.0611498 Refining dt search increment 1e-05->1e-06 --Testing dt=0.026161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026161-0.020356 (0.005805) Potential Increase in error ---POS Preserved --Testing dt=0.026162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026162-0.020352 (0.00581) Potential Increase in error ---POS Preserved --Testing dt=0.026163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026163-0.020348 (0.005815) Potential Increase in error ---POS Preserved --Testing dt=0.026164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026164-0.020344 (0.00582) Potential Increase in error ---POS Preserved --Testing dt=0.026165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026165-0.02034 (0.005825) Potential Increase in error ---POS Preserved --Testing dt=0.026166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026166-0.020336 (0.00583) Potential Increase in error ---POS Preserved --Testing dt=0.026167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026167-0.020332 (0.005835) Potential Increase in error ---POS Preserved --Testing dt=0.026168 ---POS Violated after 4 steps t=0.104672 (-9.212046e-05) L2 error at time of violation: 0.061123 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.026167 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0262 s: 7 k: 2 p: [] dx: 0.0100 r: 4.4835 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 ---TVD Violated after 6 steps t=0.114000 (5.319888e-03) L2 error at time of violation: 0.11896 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---TVD Preserved --Testing dt=0.0186 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0186-0.0134 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0187 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0187-0.0128 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0188 ---TVD Violated after 6 steps t=0.112800 (2.228918e-03) L2 error at time of violation: 0.115134 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01871-0.01274 (0.00597) Potential Increase in error ---TVD Preserved --Testing dt=0.01872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01872-0.01268 (0.00604) Potential Increase in error ---TVD Preserved --Testing dt=0.01873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01873-0.01262 (0.00611) Potential Increase in error ---TVD Preserved --Testing dt=0.01874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01874-0.01256 (0.00618) Potential Increase in error ---TVD Preserved --Testing dt=0.01875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01875-0.0125 (0.00625) Potential Increase in error ---TVD Preserved --Testing dt=0.01876 ---TVD Violated after 6 steps t=0.112560 (1.003586e-04) L2 error at time of violation: 0.11523 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018751-0.012494 (0.006257) Potential Increase in error ---TVD Preserved --Testing dt=0.018752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018752-0.012488 (0.006264) Potential Increase in error ---TVD Preserved --Testing dt=0.018753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018753-0.012482 (0.006271) Potential Increase in error ---TVD Preserved --Testing dt=0.018754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018754-0.012476 (0.006278) Potential Increase in error ---TVD Preserved --Testing dt=0.018755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018755-0.01247 (0.006285) Potential Increase in error ---TVD Preserved --Testing dt=0.018756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018756-0.012464 (0.006292) Potential Increase in error ---TVD Preserved --Testing dt=0.018757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018757-0.012458 (0.006299) Potential Increase in error ---TVD Preserved --Testing dt=0.018758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018758-0.012452 (0.006306) Potential Increase in error ---TVD Preserved --Testing dt=0.018759 ---TVD Violated after 6 steps t=0.112554 (4.832854e-05) L2 error at time of violation: 0.115232 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018758 Theoretial Max dt=0.068274 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-6.265749e-03) L2 error at time of violation: 0.168046 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-6.843558e-03) L2 error at time of violation: 0.167871 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-6.202056e-03) L2 error at time of violation: 0.167935 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-6.137991e-03) L2 error at time of violation: 0.167943 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.068274 results_pos = max_dt: 0.0320 s: 10 k: 5 p: [] dx: 0.0100 r: 6.8274 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 7 steps t=0.042000 (2.503391e-03) L2 error at time of violation: 0.0590233 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 ---TVD Violated after 11 steps t=0.059400 (1.353760e-03) L2 error at time of violation: 0.0328473 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00531-0.00287 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00532-0.00264 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00533 ---TVD Violated after 11 steps t=0.058630 (2.434424e-05) L2 error at time of violation: 0.0346539 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005321-0.002617 (0.002704) Potential Increase in error ---TVD Preserved --Testing dt=0.005322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005322-0.002594 (0.002728) Potential Increase in error ---TVD Preserved --Testing dt=0.005323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005323-0.002571 (0.002752) Potential Increase in error ---TVD Preserved --Testing dt=0.005324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005324-0.002548 (0.002776) Potential Increase in error ---TVD Preserved --Testing dt=0.005325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005325-0.002525 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.005326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005326-0.002502 (0.002824) Potential Increase in error ---TVD Preserved --Testing dt=0.005327 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005327-0.002479 (0.002848) Potential Increase in error ---TVD Preserved --Testing dt=0.005328 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005328-0.002456 (0.002872) Potential Increase in error ---TVD Preserved --Testing dt=0.005329 ---TVD Violated after 11 steps t=0.058619 (9.918871e-06) L2 error at time of violation: 0.0346774 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005328 Theoretial Max dt=0.017350 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 9 steps t=0.090000 (-2.112155e-02) L2 error at time of violation: 0.087512 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 9 steps t=0.088200 (-3.598028e-05) L2 error at time of violation: 0.0857654 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00971-0.00848 (0.00123) Potential Increase in error ---POS Preserved --Testing dt=0.00972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00972-0.00836 (0.00136) Potential Increase in error ---POS Preserved --Testing dt=0.00973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00973-0.00824 (0.00149) Potential Increase in error ---POS Preserved --Testing dt=0.00974 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00974-0.00812 (0.00162) Potential Increase in error ---POS Preserved --Testing dt=0.00975 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00975-0.008 (0.00175) Potential Increase in error ---POS Preserved --Testing dt=0.00976 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00976-0.00788 (0.00188) Potential Increase in error ---POS Preserved --Testing dt=0.00977 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00977-0.00776 (0.00201) Potential Increase in error ---POS Preserved --Testing dt=0.00978 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00978-0.00764 (0.00214) Potential Increase in error ---POS Preserved --Testing dt=0.00979 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00979-0.00752 (0.00227) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 9 steps t=0.088200 (-3.598028e-05) L2 error at time of violation: 0.0857654 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009791-0.007508 (0.002283) Potential Increase in error ---POS Preserved --Testing dt=0.009792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009792-0.007496 (0.002296) Potential Increase in error ---POS Preserved --Testing dt=0.009793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009793-0.007484 (0.002309) Potential Increase in error ---POS Preserved --Testing dt=0.009794 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009794-0.007472 (0.002322) Potential Increase in error ---POS Preserved --Testing dt=0.009795 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009795-0.00746 (0.002335) Potential Increase in error ---POS Preserved --Testing dt=0.009796 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009796-0.007448 (0.002348) Potential Increase in error ---POS Preserved --Testing dt=0.009797 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009797-0.007436 (0.002361) Potential Increase in error ---POS Preserved --Testing dt=0.009798 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009798-0.007424 (0.002374) Potential Increase in error ---POS Preserved --Testing dt=0.009799 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009799-0.007412 (0.002387) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 9 steps t=0.088200 (-3.598028e-05) L2 error at time of violation: 0.0857654 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009799 Theoretial Max dt=0.017350 results_pos = max_dt: 0.0098 s: 3 k: 5 p: [] dx: 0.0100 r: 1.7350 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 4 steps t=0.044000 (1.188780e-04) L2 error at time of violation: 0.0550859 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 ---TVD Violated after 11 steps t=0.112200 (1.211174e-03) L2 error at time of violation: 0.0284283 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01011-0.00368 (0.00643) Potential Increase in error ---TVD Preserved --Testing dt=0.01012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01012-0.00356 (0.00656) Potential Increase in error ---TVD Preserved --Testing dt=0.01013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01013-0.00344 (0.00669) Potential Increase in error ---TVD Preserved --Testing dt=0.01014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01014-0.00332 (0.00682) Potential Increase in error ---TVD Preserved --Testing dt=0.01015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01015-0.0032 (0.00695) Potential Increase in error ---TVD Preserved --Testing dt=0.01016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01016-0.00308 (0.00708) Potential Increase in error ---TVD Preserved --Testing dt=0.01017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01017-0.00296 (0.00721) Potential Increase in error ---TVD Preserved --Testing dt=0.01018 ---TVD Violated after 11 steps t=0.111980 (1.162207e-03) L2 error at time of violation: 0.028253 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010171-0.002948 (0.007223) Potential Increase in error ---TVD Preserved --Testing dt=0.010172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010172-0.002936 (0.007236) Potential Increase in error ---TVD Preserved --Testing dt=0.010173 ---TVD Violated after 11 steps t=0.111903 (9.844539e-05) L2 error at time of violation: 0.0282435 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010172 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 3 steps t=0.075000 (-8.227728e-04) L2 error at time of violation: 0.0989866 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0243-0.0035 (0.0208) Potential Increase in error ---POS Preserved --Testing dt=0.0244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0244-0.003 (0.0214) Potential Increase in error ---POS Preserved --Testing dt=0.0245 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0245-0.0025 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.0246 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0246-0.002 (0.0226) Potential Increase in error ---POS Preserved --Testing dt=0.0247 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0247-0.0015 (0.0232) Potential Increase in error ---POS Preserved --Testing dt=0.0248 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0248-0.001 (0.0238) Potential Increase in error ---POS Preserved --Testing dt=0.0249 ---POS Violated after 4 steps t=0.099600 (-4.776855e-03) L2 error at time of violation: 0.0900215 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02481-0.00095 (0.02386) Potential Increase in error ---POS Preserved --Testing dt=0.02482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02482-0.0009 (0.02392) Potential Increase in error ---POS Preserved --Testing dt=0.02483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02483-0.00085 (0.02398) Potential Increase in error ---POS Preserved --Testing dt=0.02484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02484-0.0008 (0.02404) Potential Increase in error ---POS Preserved --Testing dt=0.02485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02485-0.00075 (0.0241) Potential Increase in error ---POS Preserved --Testing dt=0.02486 ---POS Violated after 4 steps t=0.099440 (-4.264163e-04) L2 error at time of violation: 0.0898201 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024851-0.000745 (0.024106) Potential Increase in error ---POS Preserved --Testing dt=0.024852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024852-0.00074 (0.024112) Potential Increase in error ---POS Preserved --Testing dt=0.024853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024853-0.000735 (0.024118) Potential Increase in error ---POS Preserved --Testing dt=0.024854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024854-0.00073 (0.024124) Potential Increase in error ---POS Preserved --Testing dt=0.024855 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024855-0.000725 (0.02413) Potential Increase in error ---POS Preserved --Testing dt=0.024856 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024856-0.00072 (0.024136) Potential Increase in error ---POS Preserved --Testing dt=0.024857 ---POS Violated after 4 steps t=0.099428 (-9.410774e-05) L2 error at time of violation: 0.0898039 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024856 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0249 s: 6 k: 3 p: [] dx: 0.0100 r: 3.7767 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 6 steps t=0.036000 (9.908270e-05) L2 error at time of violation: 0.0298712 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 ---TVD Violated after 17 steps t=0.090100 (6.180390e-12) L2 error at time of violation: 0.0140949 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00521 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00521-0.00517 (4e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00522 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00522-0.00494 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00523 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00523-0.00471 (0.00052) Potential Increase in error ---TVD Preserved --Testing dt=0.00524 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00524-0.00448 (0.00076) Potential Increase in error ---TVD Preserved --Testing dt=0.00525 ---TVD Violated after 20 steps t=0.105000 (1.185718e-13) L2 error at time of violation: 0.0153871 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005241-0.004457 (0.000784) Potential Increase in error ---TVD Preserved --Testing dt=0.005242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005242-0.004434 (0.000808) Potential Increase in error ---TVD Preserved --Testing dt=0.005243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005243-0.004411 (0.000832) Potential Increase in error ---TVD Preserved --Testing dt=0.005244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005244-0.004388 (0.000856) Potential Increase in error ---TVD Preserved --Testing dt=0.005245 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005245-0.004365 (0.00088) Potential Increase in error ---TVD Preserved --Testing dt=0.005246 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005246-0.004342 (0.000904) Potential Increase in error ---TVD Preserved --Testing dt=0.005247 ---TVD Violated after 20 steps t=0.104940 (1.012523e-13) L2 error at time of violation: 0.015206 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005246 Theoretial Max dt=0.013608 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 3 steps t=0.033000 (-2.486740e-02) L2 error at time of violation: 0.0573436 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---POS Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.0105 ---POS Violated after 3 steps t=0.031500 (-1.147414e-03) L2 error at time of violation: 0.0570043 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01041-8e-05 (0.01033) Potential Increase in error ---POS Preserved --Testing dt=0.01042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01042-0.01038 (4e-05) Potential Increase in error ---POS Preserved --Testing dt=0.01043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01043-0.01027 (0.00016) Potential Increase in error ---POS Preserved --Testing dt=0.01044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01044-0.01016 (0.00028) Potential Increase in error ---POS Preserved --Testing dt=0.01045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01045-0.01005 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.01046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01046-0.00994 (0.00052) Potential Increase in error ---POS Preserved --Testing dt=0.01047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01047-0.00983 (0.00064) Potential Increase in error ---POS Preserved --Testing dt=0.01048 ---POS Violated after 3 steps t=0.031440 (-3.550972e-04) L2 error at time of violation: 0.0569972 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010471 ---POS Violated after 3 steps t=0.031413 (-2.352779e-06) L2 error at time of violation: 0.0569944 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010470 Theoretial Max dt=0.013608 results_pos = max_dt: 0.0105 s: 5 k: 3 p: [] dx: 0.0100 r: 1.3608 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 7 steps t=0.035000 (1.355445e-04) L2 error at time of violation: 0.0411212 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 ---TVD Violated after 9 steps t=0.038700 (6.114403e-04) L2 error at time of violation: 0.0237505 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00421-0.00291 (0.0013) Potential Increase in error ---TVD Preserved --Testing dt=0.00422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00422-0.00262 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.00423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00423-0.00233 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00424-0.00204 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.00425 ---TVD Violated after 9 steps t=0.038250 (4.106784e-05) L2 error at time of violation: 0.024424 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004241-0.002011 (0.00223) Potential Increase in error ---TVD Preserved --Testing dt=0.004242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004242-0.001982 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.004243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004243-0.001953 (0.00229) Potential Increase in error ---TVD Preserved --Testing dt=0.004244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004244-0.001924 (0.00232) Potential Increase in error ---TVD Preserved --Testing dt=0.004245 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004245-0.001895 (0.00235) Potential Increase in error ---TVD Preserved --Testing dt=0.004246 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004246-0.001866 (0.00238) Potential Increase in error ---TVD Preserved --Testing dt=0.004247 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004247-0.001837 (0.00241) Potential Increase in error ---TVD Preserved --Testing dt=0.004248 ---TVD Violated after 9 steps t=0.038232 (9.084585e-06) L2 error at time of violation: 0.0244557 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004247 Theoretial Max dt=0.013655 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 13 steps t=0.104000 (-6.602550e-02) L2 error at time of violation: 0.0593256 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 ---POS Violated after 17 steps t=0.122400 (-2.925477e-03) L2 error at time of violation: 0.0608272 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00711 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00711-0.00413 (0.00298) Potential Increase in error ---POS Preserved --Testing dt=0.00712 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00712-0.00396 (0.00316) Potential Increase in error ---POS Preserved --Testing dt=0.00713 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00713-0.00379 (0.00334) Potential Increase in error ---POS Preserved --Testing dt=0.00714 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00714-0.00362 (0.00352) Potential Increase in error ---POS Preserved --Testing dt=0.00715 ---POS Violated after 17 steps t=0.121550 (-3.902955e-04) L2 error at time of violation: 0.0572396 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007141-0.003603 (0.003538) Potential Increase in error ---POS Preserved --Testing dt=0.007142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007142-0.003586 (0.003556) Potential Increase in error ---POS Preserved --Testing dt=0.007143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007143-0.003569 (0.003574) Potential Increase in error ---POS Preserved --Testing dt=0.007144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007144-0.003552 (0.003592) Potential Increase in error ---POS Preserved --Testing dt=0.007145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007145-0.003535 (0.00361) Potential Increase in error ---POS Preserved --Testing dt=0.007146 ---POS Violated after 17 steps t=0.121482 (-6.426471e-05) L2 error at time of violation: 0.0566457 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007145 Theoretial Max dt=0.013655 results_pos = max_dt: 0.0071 s: 3 k: 4 p: [] dx: 0.0100 r: 1.3655 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 8 steps t=0.048000 (7.339823e-03) L2 error at time of violation: 0.0586881 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 ---TVD Violated after 21 steps t=0.117600 (2.091053e-04) L2 error at time of violation: 0.0226041 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00551 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00551-0.00378 (0.00173) Potential Increase in error ---TVD Preserved --Testing dt=0.00552 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00552-0.00356 (0.00196) Potential Increase in error ---TVD Preserved --Testing dt=0.00553 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00553-0.00334 (0.00219) Potential Increase in error ---TVD Preserved --Testing dt=0.00554 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00554-0.00312 (0.00242) Potential Increase in error ---TVD Preserved --Testing dt=0.00555 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00555-0.0029 (0.00265) Potential Increase in error ---TVD Preserved --Testing dt=0.00556 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00556-0.00268 (0.00288) Potential Increase in error ---TVD Preserved --Testing dt=0.00557 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00557-0.00246 (0.00311) Potential Increase in error ---TVD Preserved --Testing dt=0.00558 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00558-0.00224 (0.00334) Potential Increase in error ---TVD Preserved --Testing dt=0.00559 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00559-0.00202 (0.00357) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 ---TVD Violated after 21 steps t=0.117600 (2.091053e-04) L2 error at time of violation: 0.0226041 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005591-0.001998 (0.003593) Potential Increase in error ---TVD Preserved --Testing dt=0.005592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005592-0.001976 (0.003616) Potential Increase in error ---TVD Preserved --Testing dt=0.005593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005593-0.001954 (0.003639) Potential Increase in error ---TVD Preserved --Testing dt=0.005594 ---TVD Violated after 21 steps t=0.117474 (6.668721e-06) L2 error at time of violation: 0.0223022 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005593 Theoretial Max dt=0.019791 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 5 steps t=0.070000 (-3.319502e-02) L2 error at time of violation: 0.105461 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 ---POS Violated after 5 steps t=0.066500 (-3.470682e-03) L2 error at time of violation: 0.099639 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01321 ---POS Violated after 5 steps t=0.066050 (-1.337549e-05) L2 error at time of violation: 0.0995759 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013201-0.006191 (0.00701) Potential Increase in error ---POS Preserved --Testing dt=0.013202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013202-0.006182 (0.00702) Potential Increase in error ---POS Preserved --Testing dt=0.013203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013203-0.006173 (0.00703) Potential Increase in error ---POS Preserved --Testing dt=0.013204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013204-0.006164 (0.00704) Potential Increase in error ---POS Preserved --Testing dt=0.013205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013205-0.006155 (0.00705) Potential Increase in error ---POS Preserved --Testing dt=0.013206 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013206-0.006146 (0.00706) Potential Increase in error ---POS Preserved --Testing dt=0.013207 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013207-0.006137 (0.00707) Potential Increase in error ---POS Preserved --Testing dt=0.013208 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013208-0.006128 (0.00708) Potential Increase in error ---POS Preserved --Testing dt=0.013209 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013209-0.006119 (0.00709) Potential Increase in error ---POS Preserved --Testing dt=0.01321 ---POS Violated after 5 steps t=0.066050 (-1.337549e-05) L2 error at time of violation: 0.0995759 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013209 Theoretial Max dt=0.019791 results_pos = max_dt: 0.0132 s: 4 k: 5 p: [] dx: 0.0100 r: 1.9791 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 7 steps t=0.063000 (8.466261e-07) L2 error at time of violation: 0.0317793 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0088 ---TVD Violated after 11 steps t=0.096800 (1.159015e-10) L2 error at time of violation: 0.0210666 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00871 ---TVD Violated after 12 steps t=0.104520 (1.654232e-13) L2 error at time of violation: 0.0197398 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008701-0.003186 (0.005515) Potential Increase in error ---TVD Preserved --Testing dt=0.008702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008702-0.003172 (0.00553) Potential Increase in error ---TVD Preserved --Testing dt=0.008703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008703-0.003158 (0.005545) Potential Increase in error ---TVD Preserved --Testing dt=0.008704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008704-0.003144 (0.00556) Potential Increase in error ---TVD Preserved --Testing dt=0.008705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008705-0.00313 (0.005575) Potential Increase in error ---TVD Preserved --Testing dt=0.008706 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008706-0.003116 (0.00559) Potential Increase in error ---TVD Preserved --Testing dt=0.008707 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008707-0.003102 (0.005605) Potential Increase in error ---TVD Preserved --Testing dt=0.008708 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008708-0.003088 (0.00562) Potential Increase in error ---TVD Preserved --Testing dt=0.008709 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008709-0.003074 (0.005635) Potential Increase in error ---TVD Preserved --Testing dt=0.00871 ---TVD Violated after 12 steps t=0.104520 (1.660894e-13) L2 error at time of violation: 0.0197398 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008709 Theoretial Max dt=0.006736 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 3 steps t=0.048000 (-7.087980e-02) L2 error at time of violation: 0.0827602 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 ---POS Violated after 3 steps t=0.045900 (-2.346303e-03) L2 error at time of violation: 0.0752004 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01521 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01521-0.00332 (0.01189) Potential Increase in error ---POS Preserved --Testing dt=0.01522 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01522-0.00324 (0.01198) Potential Increase in error ---POS Preserved --Testing dt=0.01523 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01523-0.00316 (0.01207) Potential Increase in error ---POS Preserved --Testing dt=0.01524 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01524-0.00308 (0.01216) Potential Increase in error ---POS Preserved --Testing dt=0.01525 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01525-0.003 (0.01225) Potential Increase in error ---POS Preserved --Testing dt=0.01526 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01526-0.00292 (0.01234) Potential Increase in error ---POS Preserved --Testing dt=0.01527 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01527-0.00284 (0.01243) Potential Increase in error ---POS Preserved --Testing dt=0.01528 ---POS Violated after 3 steps t=0.045840 (-1.286610e-04) L2 error at time of violation: 0.0751819 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015271-0.002832 (0.012439) Potential Increase in error ---POS Preserved --Testing dt=0.015272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015272-0.002824 (0.012448) Potential Increase in error ---POS Preserved --Testing dt=0.015273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015273-0.002816 (0.012457) Potential Increase in error ---POS Preserved --Testing dt=0.015274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015274-0.002808 (0.012466) Potential Increase in error ---POS Preserved --Testing dt=0.015275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015275-0.0028 (0.012475) Potential Increase in error ---POS Preserved --Testing dt=0.015276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015276-0.002792 (0.012484) Potential Increase in error ---POS Preserved --Testing dt=0.015277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015277-0.002784 (0.012493) Potential Increase in error ---POS Preserved --Testing dt=0.015278 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015278-0.002776 (0.012502) Potential Increase in error ---POS Preserved --Testing dt=0.015279 ---POS Violated after 3 steps t=0.045837 (-1.796344e-05) L2 error at time of violation: 0.075181 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015278 Theoretial Max dt=0.006736 results_pos = max_dt: 0.0153 s: 12 k: 3 p: [] dx: 0.0100 r: 0.6736 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 5 steps t=0.045000 (4.193817e-03) L2 error at time of violation: 0.0836026 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0088-0.0018 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0089 ---TVD Violated after 5 steps t=0.044500 (5.461389e-04) L2 error at time of violation: 0.0837254 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00881-0.00166 (0.00715) Potential Increase in error ---TVD Preserved --Testing dt=0.00882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00882-0.00152 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.00883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00883-0.00138 (0.00745) Potential Increase in error ---TVD Preserved --Testing dt=0.00884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00884-0.00124 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.00885 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00885-0.0011 (0.00775) Potential Increase in error ---TVD Preserved --Testing dt=0.00886 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00886-0.00096 (0.0079) Potential Increase in error ---TVD Preserved --Testing dt=0.00887 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00887-0.00082 (0.00805) Potential Increase in error ---TVD Preserved --Testing dt=0.00888 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00888-0.00068 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.00889 ---TVD Violated after 5 steps t=0.044450 (2.442638e-04) L2 error at time of violation: 0.0837384 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008881 ---TVD Violated after 5 steps t=0.044405 (2.088527e-05) L2 error at time of violation: 0.0837506 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008880 Theoretial Max dt=0.026783 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 5 steps t=0.085000 (-1.491618e-02) L2 error at time of violation: 0.116686 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 ---POS Violated after 5 steps t=0.083000 (-1.459642e-03) L2 error at time of violation: 0.115297 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01651-0.00943 (0.00708) Potential Increase in error ---POS Preserved --Testing dt=0.01652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01652-0.00936 (0.00716) Potential Increase in error ---POS Preserved --Testing dt=0.01653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01653-0.00929 (0.00724) Potential Increase in error ---POS Preserved --Testing dt=0.01654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01654-0.00922 (0.00732) Potential Increase in error ---POS Preserved --Testing dt=0.01655 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01655-0.00915 (0.0074) Potential Increase in error ---POS Preserved --Testing dt=0.01656 ---POS Violated after 5 steps t=0.082800 (-1.080926e-04) L2 error at time of violation: 0.115122 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016551 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016551-0.009143 (0.007408) Potential Increase in error ---POS Preserved --Testing dt=0.016552 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016552-0.009136 (0.007416) Potential Increase in error ---POS Preserved --Testing dt=0.016553 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016553-0.009129 (0.007424) Potential Increase in error ---POS Preserved --Testing dt=0.016554 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016554-0.009122 (0.007432) Potential Increase in error ---POS Preserved --Testing dt=0.016555 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016555-0.009115 (0.00744) Potential Increase in error ---POS Preserved --Testing dt=0.016556 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016556-0.009108 (0.007448) Potential Increase in error ---POS Preserved --Testing dt=0.016557 ---POS Violated after 5 steps t=0.082785 (-6.723256e-06) L2 error at time of violation: 0.115109 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016556 Theoretial Max dt=0.026783 results_pos = max_dt: 0.0166 s: 9 k: 5 p: [] dx: 0.0100 r: 2.6783 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 19 steps t=0.095000 (3.263168e-11) L2 error at time of violation: 0.0231549 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0049 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0049-0.0025 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 19 steps t=0.095000 (3.263234e-11) L2 error at time of violation: 0.0231549 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00491-0.00225 (0.00266) Potential Increase in error ---TVD Preserved --Testing dt=0.00492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00492-0.002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00493-0.00175 (0.00318) Potential Increase in error ---TVD Preserved --Testing dt=0.00494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00494-0.0015 (0.00344) Potential Increase in error ---TVD Preserved --Testing dt=0.00495 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00495-0.00125 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.00496 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00496-0.001 (0.00396) Potential Increase in error ---TVD Preserved --Testing dt=0.00497 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00497-0.00075 (0.00422) Potential Increase in error ---TVD Preserved --Testing dt=0.00498 ---TVD Violated after 19 steps t=0.094620 (8.079759e-12) L2 error at time of violation: 0.0220224 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004971-0.000725 (0.004246) Potential Increase in error ---TVD Preserved --Testing dt=0.004972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004972-0.0007 (0.004272) Potential Increase in error ---TVD Preserved --Testing dt=0.004973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004973-0.000675 (0.004298) Potential Increase in error ---TVD Preserved --Testing dt=0.004974 ---TVD Violated after 19 steps t=0.094506 (2.480238e-13) L2 error at time of violation: 0.0210698 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004973 Theoretial Max dt=0.013544 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 5 steps t=0.055000 (-2.978262e-02) L2 error at time of violation: 0.0963815 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 ---POS Violated after 5 steps t=0.051500 (-2.953003e-03) L2 error at time of violation: 0.0897345 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01021-0.00248 (0.00773) Potential Increase in error ---POS Preserved --Testing dt=0.01022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01022-0.00236 (0.00786) Potential Increase in error ---POS Preserved --Testing dt=0.01023 ---POS Violated after 5 steps t=0.051150 (-3.511371e-04) L2 error at time of violation: 0.0896408 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010221 ---POS Violated after 5 steps t=0.051105 (-2.029078e-05) L2 error at time of violation: 0.0896292 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010220 Theoretial Max dt=0.013544 results_pos = max_dt: 0.0102 s: 6 k: 5 p: [] dx: 0.0100 r: 1.3544 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 6 steps t=0.030000 (5.308620e-04) L2 error at time of violation: 0.0256816 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 ---TVD Violated after 22 steps t=0.101200 (1.387779e-13) L2 error at time of violation: 0.0164703 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00451-0.00323 (0.00128) Potential Increase in error ---TVD Preserved --Testing dt=0.00452 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00452-0.00296 (0.00156) Potential Increase in error ---TVD Preserved --Testing dt=0.00453 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00453-0.00269 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00454 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00454-0.00242 (0.00212) Potential Increase in error ---TVD Preserved --Testing dt=0.00455 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00455-0.00215 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.00456 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00456-0.00188 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00457 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00457-0.00161 (0.00296) Potential Increase in error ---TVD Preserved --Testing dt=0.00458 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00458-0.00134 (0.00324) Potential Increase in error ---TVD Preserved --Testing dt=0.00459 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00459-0.00107 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 ---TVD Violated after 22 steps t=0.101200 (1.387779e-13) L2 error at time of violation: 0.0164703 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004591-0.001043 (0.003548) Potential Increase in error ---TVD Preserved --Testing dt=0.004592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004592-0.001016 (0.003576) Potential Increase in error ---TVD Preserved --Testing dt=0.004593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004593-0.000989 (0.003604) Potential Increase in error ---TVD Preserved --Testing dt=0.004594 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004594-0.000962 (0.003632) Potential Increase in error ---TVD Preserved --Testing dt=0.004595 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004595-0.000935 (0.00366) Potential Increase in error ---TVD Preserved --Testing dt=0.004596 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004596-0.000908 (0.003688) Potential Increase in error ---TVD Preserved --Testing dt=0.004597 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004597-0.000881 (0.003716) Potential Increase in error ---TVD Preserved --Testing dt=0.004598 ---TVD Violated after 22 steps t=0.101156 (1.092459e-13) L2 error at time of violation: 0.0166461 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004597 Theoretial Max dt=0.009486 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 3 steps t=0.027000 (-4.448982e-02) L2 error at time of violation: 0.0577322 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 ---POS Violated after 3 steps t=0.024600 (-8.770214e-04) L2 error at time of violation: 0.0527901 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00811 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00811-0.00335 (0.00476) Potential Increase in error ---POS Preserved --Testing dt=0.00812 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00812-0.0032 (0.00492) Potential Increase in error ---POS Preserved --Testing dt=0.00813 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00813-0.00305 (0.00508) Potential Increase in error ---POS Preserved --Testing dt=0.00814 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00814-0.0029 (0.00524) Potential Increase in error ---POS Preserved --Testing dt=0.00815 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00815-0.00275 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.00816 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00816-0.0026 (0.00556) Potential Increase in error ---POS Preserved --Testing dt=0.00817 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00817-0.00245 (0.00572) Potential Increase in error ---POS Preserved --Testing dt=0.00818 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00818-0.0023 (0.00588) Potential Increase in error ---POS Preserved --Testing dt=0.00819 ---POS Violated after 3 steps t=0.024570 (-3.628064e-04) L2 error at time of violation: 0.0527954 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008181-0.002285 (0.005896) Potential Increase in error ---POS Preserved --Testing dt=0.008182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008182-0.00227 (0.005912) Potential Increase in error ---POS Preserved --Testing dt=0.008183 ---POS Violated after 3 steps t=0.024549 (-4.125949e-06) L2 error at time of violation: 0.0527992 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008182 Theoretial Max dt=0.009486 results_pos = max_dt: 0.0082 s: 6 k: 3 p: [] dx: 0.0100 r: 0.9486 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 ---TVD Violated after 4 steps t=0.052000 (8.974383e-06) L2 error at time of violation: 0.0227217 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---TVD Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---TVD Preserved --Testing dt=0.0124 ---TVD Violated after 4 steps t=0.049600 (4.380868e-07) L2 error at time of violation: 0.0304012 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01231-0.0019 (0.01041) Potential Increase in error ---TVD Preserved --Testing dt=0.01232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01232-0.0018 (0.01052) Potential Increase in error ---TVD Preserved --Testing dt=0.01233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01233-0.0017 (0.01063) Potential Increase in error ---TVD Preserved --Testing dt=0.01234 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01234-0.0016 (0.01074) Potential Increase in error ---TVD Preserved --Testing dt=0.01235 ---TVD Violated after 6 steps t=0.074100 (8.796963e-12) L2 error at time of violation: 0.0215248 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012341 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012341-0.00159 (0.010751) Potential Increase in error ---TVD Preserved --Testing dt=0.012342 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012342-0.00158 (0.010762) Potential Increase in error ---TVD Preserved --Testing dt=0.012343 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012343-0.00157 (0.010773) Potential Increase in error ---TVD Preserved --Testing dt=0.012344 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012344-0.00156 (0.010784) Potential Increase in error ---TVD Preserved --Testing dt=0.012345 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012345-0.00155 (0.010795) Potential Increase in error ---TVD Preserved --Testing dt=0.012346 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012346-0.00154 (0.010806) Potential Increase in error ---TVD Preserved --Testing dt=0.012347 ---TVD Violated after 6 steps t=0.074082 (1.166622e-12) L2 error at time of violation: 0.0214971 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012346 Theoretial Max dt=0.017857 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 ---POS Violated after 5 steps t=0.105000 (-1.081063e-02) L2 error at time of violation: 0.0579994 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0201-0.0044 (0.0157) Potential Increase in error ---POS Preserved --Testing dt=0.0202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0202-0.0038 (0.0164) Potential Increase in error ---POS Preserved --Testing dt=0.0203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0203-0.0032 (0.0171) Potential Increase in error ---POS Preserved --Testing dt=0.0204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0204-0.0026 (0.0178) Potential Increase in error ---POS Preserved --Testing dt=0.0205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0205-0.002 (0.0185) Potential Increase in error ---POS Preserved --Testing dt=0.0206 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0206-0.0014 (0.0192) Potential Increase in error ---POS Preserved --Testing dt=0.0207 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0207-0.0008 (0.0199) Potential Increase in error ---POS Preserved --Testing dt=0.0208 ---POS Violated after 5 steps t=0.104000 (-9.406821e-03) L2 error at time of violation: 0.0606221 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02071-0.00074 (0.01997) Potential Increase in error ---POS Preserved --Testing dt=0.02072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02072-0.00068 (0.02004) Potential Increase in error ---POS Preserved --Testing dt=0.02073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02073-0.00062 (0.02011) Potential Increase in error ---POS Preserved --Testing dt=0.02074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02074-0.00056 (0.02018) Potential Increase in error ---POS Preserved --Testing dt=0.02075 ---POS Violated after 5 steps t=0.103750 (-2.556057e-03) L2 error at time of violation: 0.061821 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020741-0.000554 (0.020187) Potential Increase in error ---POS Preserved --Testing dt=0.020742 ---POS Violated after 5 steps t=0.103710 (-2.356009e-04) L2 error at time of violation: 0.0620617 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020741 Theoretial Max dt=0.017857 results_pos = max_dt: 0.0207 s: 10 k: 2 p: [] dx: 0.0100 r: 1.7857 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s7k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 14 steps t=0.028000 (5.133417e-05) L2 error at time of violation: 0.0330826 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 ---TVD Violated after 23 steps t=0.039100 (4.637098e-06) L2 error at time of violation: 0.0226667 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00161-0.00103 (0.00058) Potential Increase in error ---TVD Preserved --Testing dt=0.00162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00162-0.00026 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00163-0.00112 (0.00051) Potential Increase in error ---TVD Preserved --Testing dt=0.00164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00164-0.00036 (0.00128) Potential Increase in error ---TVD Preserved --Testing dt=0.00165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00165-0.00125 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.00166 ---TVD Violated after 51 steps t=0.084660 (5.105250e-12) L2 error at time of violation: 0.0222969 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001651-0.001175 (0.000476) Potential Increase in error ---TVD Preserved --Testing dt=0.001652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001652-0.0011 (0.000552) Potential Increase in error ---TVD Preserved --Testing dt=0.001653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001653-0.001025 (0.000628) Potential Increase in error ---TVD Preserved --Testing dt=0.001654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001654-0.00095 (0.000704) Potential Increase in error ---TVD Preserved --Testing dt=0.001655 ---TVD Violated after 58 steps t=0.095990 (1.119105e-13) L2 error at time of violation: 0.0153956 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001654 Theoretial Max dt=0.004888 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s7k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 ---POS Violated after 7 steps t=0.021000 (-1.074602e-03) L2 error at time of violation: 0.0560183 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0025 ---POS Preserved --Testing dt=0.0026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0026-0.0002 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0027-0.0008 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0028-0.0018 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0029-0.0003 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.003 ---POS Violated after 7 steps t=0.021000 (-1.074602e-03) L2 error at time of violation: 0.0560183 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00291-0.00278 (0.00013) Potential Increase in error ---POS Preserved --Testing dt=0.00292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00292-0.00236 (0.00056) Potential Increase in error ---POS Preserved --Testing dt=0.00293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00293-0.00194 (0.00099) Potential Increase in error ---POS Preserved --Testing dt=0.00294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00294-0.00152 (0.00142) Potential Increase in error ---POS Preserved --Testing dt=0.00295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00295-0.0011 (0.00185) Potential Increase in error ---POS Preserved --Testing dt=0.00296 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00296-0.00068 (0.00228) Potential Increase in error ---POS Preserved --Testing dt=0.00297 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00297-0.00026 (0.00271) Potential Increase in error ---POS Preserved --Testing dt=0.00298 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00298-0.00282 (0.00016) Potential Increase in error ---POS Preserved --Testing dt=0.00299 ---POS Violated after 7 steps t=0.020930 (-4.506989e-04) L2 error at time of violation: 0.0559824 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002981-0.002779 (0.000202) Potential Increase in error ---POS Preserved --Testing dt=0.002982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002982-0.002738 (0.000244) Potential Increase in error ---POS Preserved --Testing dt=0.002983 ---POS Violated after 7 steps t=0.020881 (-1.150022e-05) L2 error at time of violation: 0.0559577 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002982 Theoretial Max dt=0.004888 results_pos = max_dt: 0.0030 s: 4 k: 7 p: [] dx: 0.0100 r: 0.4888 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 5 steps t=0.055000 (1.188780e-04) L2 error at time of violation: 0.0763275 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 ---TVD Violated after 12 steps t=0.122400 (1.211174e-03) L2 error at time of violation: 0.0320373 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01011-0.00368 (0.00643) Potential Increase in error ---TVD Preserved --Testing dt=0.01012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01012-0.00356 (0.00656) Potential Increase in error ---TVD Preserved --Testing dt=0.01013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01013-0.00344 (0.00669) Potential Increase in error ---TVD Preserved --Testing dt=0.01014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01014-0.00332 (0.00682) Potential Increase in error ---TVD Preserved --Testing dt=0.01015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01015-0.0032 (0.00695) Potential Increase in error ---TVD Preserved --Testing dt=0.01016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01016-0.00308 (0.00708) Potential Increase in error ---TVD Preserved --Testing dt=0.01017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01017-0.00296 (0.00721) Potential Increase in error ---TVD Preserved --Testing dt=0.01018 ---TVD Violated after 12 steps t=0.122160 (1.162207e-03) L2 error at time of violation: 0.0320127 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010171-0.002948 (0.007223) Potential Increase in error ---TVD Preserved --Testing dt=0.010172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010172-0.002936 (0.007236) Potential Increase in error ---TVD Preserved --Testing dt=0.010173 ---TVD Violated after 12 steps t=0.122076 (9.844539e-05) L2 error at time of violation: 0.0319897 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010172 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 4 steps t=0.100000 (-8.227728e-04) L2 error at time of violation: 0.125922 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0243-0.0035 (0.0208) Potential Increase in error ---POS Preserved --Testing dt=0.0244 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0244-0.003 (0.0214) Potential Increase in error ---POS Preserved --Testing dt=0.0245 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0245-0.0025 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.0246 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0246-0.002 (0.0226) Potential Increase in error ---POS Preserved --Testing dt=0.0247 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0247-0.0015 (0.0232) Potential Increase in error ---POS Preserved --Testing dt=0.0248 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0248-0.001 (0.0238) Potential Increase in error ---POS Preserved --Testing dt=0.0249 ---POS Violated after 5 steps t=0.124500 (-4.776855e-03) L2 error at time of violation: 0.117483 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02481-0.00095 (0.02386) Potential Increase in error ---POS Preserved --Testing dt=0.02482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02482-0.0009 (0.02392) Potential Increase in error ---POS Preserved --Testing dt=0.02483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02483-0.00085 (0.02398) Potential Increase in error ---POS Preserved --Testing dt=0.02484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02484-0.0008 (0.02404) Potential Increase in error ---POS Preserved --Testing dt=0.02485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02485-0.00075 (0.0241) Potential Increase in error ---POS Preserved --Testing dt=0.02486 ---POS Violated after 5 steps t=0.124300 (-4.264163e-04) L2 error at time of violation: 0.117307 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024851-0.000745 (0.024106) Potential Increase in error ---POS Preserved --Testing dt=0.024852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024852-0.00074 (0.024112) Potential Increase in error ---POS Preserved --Testing dt=0.024853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024853-0.000735 (0.024118) Potential Increase in error ---POS Preserved --Testing dt=0.024854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024854-0.00073 (0.024124) Potential Increase in error ---POS Preserved --Testing dt=0.024855 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024855-0.000725 (0.02413) Potential Increase in error ---POS Preserved --Testing dt=0.024856 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024856-0.00072 (0.024136) Potential Increase in error ---POS Preserved --Testing dt=0.024857 ---POS Violated after 5 steps t=0.124285 (-9.410774e-05) L2 error at time of violation: 0.117293 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024856 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0249 s: 6 k: 4 p: [] dx: 0.0100 r: 3.7767 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 4 steps t=0.040000 (1.832435e-04) L2 error at time of violation: 0.0285721 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 ---TVD Violated after 4 steps t=0.036400 (2.885308e-06) L2 error at time of violation: 0.022623 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00901-0.00787 (0.00114) Potential Increase in error ---TVD Preserved --Testing dt=0.00902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00902-0.00774 (0.00128) Potential Increase in error ---TVD Preserved --Testing dt=0.00903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00903-0.00761 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00904 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00904-0.00748 (0.00156) Potential Increase in error ---TVD Preserved --Testing dt=0.00905 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00905-0.00735 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.00906 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00906-0.00722 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00907 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00907-0.00709 (0.00198) Potential Increase in error ---TVD Preserved --Testing dt=0.00908 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00908-0.00696 (0.00212) Potential Increase in error ---TVD Preserved --Testing dt=0.00909 ---TVD Violated after 4 steps t=0.036360 (4.209104e-07) L2 error at time of violation: 0.0226568 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009081-0.006947 (0.002134) Potential Increase in error ---TVD Preserved --Testing dt=0.009082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009082-0.006934 (0.002148) Potential Increase in error ---TVD Preserved --Testing dt=0.009083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009083-0.006921 (0.002162) Potential Increase in error ---TVD Preserved --Testing dt=0.009084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009084-0.006908 (0.002176) Potential Increase in error ---TVD Preserved --Testing dt=0.009085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009085-0.006895 (0.00219) Potential Increase in error ---TVD Preserved --Testing dt=0.009086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009086-0.006882 (0.002204) Potential Increase in error ---TVD Preserved --Testing dt=0.009087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009087-0.006869 (0.002218) Potential Increase in error ---TVD Preserved --Testing dt=0.009088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009088-0.006856 (0.002232) Potential Increase in error ---TVD Preserved --Testing dt=0.009089 ---TVD Violated after 4 steps t=0.036356 (1.733942e-07) L2 error at time of violation: 0.0226603 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009088 Theoretial Max dt=0.029279 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 5 steps t=0.100000 (-8.662451e-04) L2 error at time of violation: 0.0637288 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 ---POS Violated after 4 steps t=0.076400 (-3.641160e-03) L2 error at time of violation: 0.0790365 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01901-0.01094 (0.00807) Potential Increase in error ---POS Preserved --Testing dt=0.01902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01902-0.01088 (0.00814) Potential Increase in error ---POS Preserved --Testing dt=0.01903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01903-0.01082 (0.00821) Potential Increase in error ---POS Preserved --Testing dt=0.01904 ---POS Violated after 4 steps t=0.076160 (-3.198204e-04) L2 error at time of violation: 0.0785377 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019031-0.010814 (0.008217) Potential Increase in error ---POS Preserved --Testing dt=0.019032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019032-0.010808 (0.008224) Potential Increase in error ---POS Preserved --Testing dt=0.019033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019033-0.010802 (0.008231) Potential Increase in error ---POS Preserved --Testing dt=0.019034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019034-0.010796 (0.008238) Potential Increase in error ---POS Preserved --Testing dt=0.019035 ---POS Violated after 4 steps t=0.076140 (-3.922686e-05) L2 error at time of violation: 0.0784958 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019034 Theoretial Max dt=0.029279 results_pos = max_dt: 0.0190 s: 7 k: 2 p: [] dx: 0.0100 r: 2.9279 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 8 steps t=0.072000 (6.018368e-03) L2 error at time of violation: 0.0679272 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 ---TVD Violated after 14 steps t=0.114800 (5.786407e-04) L2 error at time of violation: 0.0380333 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00811 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00811-0.00335 (0.00476) Potential Increase in error ---TVD Preserved --Testing dt=0.00812 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00812-0.0032 (0.00492) Potential Increase in error ---TVD Preserved --Testing dt=0.00813 ---TVD Violated after 14 steps t=0.113820 (3.082575e-04) L2 error at time of violation: 0.0388657 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008121-0.003185 (0.004936) Potential Increase in error ---TVD Preserved --Testing dt=0.008122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008122-0.00317 (0.004952) Potential Increase in error ---TVD Preserved --Testing dt=0.008123 ---TVD Violated after 14 steps t=0.113722 (1.817601e-05) L2 error at time of violation: 0.0389802 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008122 Theoretial Max dt=0.029879 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 5 steps t=0.100000 (-2.074047e-03) L2 error at time of violation: 0.131506 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 5 steps t=0.100000 (-2.074047e-03) L2 error at time of violation: 0.127607 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01991-0.00554 (0.01437) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 5 steps t=0.099600 (-1.451902e-05) L2 error at time of violation: 0.127598 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019911-0.005534 (0.014377) Potential Increase in error ---POS Preserved --Testing dt=0.019912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019912-0.005528 (0.014384) Potential Increase in error ---POS Preserved --Testing dt=0.019913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019913-0.005522 (0.014391) Potential Increase in error ---POS Preserved --Testing dt=0.019914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019914-0.005516 (0.014398) Potential Increase in error ---POS Preserved --Testing dt=0.019915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019915-0.00551 (0.014405) Potential Increase in error ---POS Preserved --Testing dt=0.019916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019916-0.005504 (0.014412) Potential Increase in error ---POS Preserved --Testing dt=0.019917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019917-0.005498 (0.014419) Potential Increase in error ---POS Preserved --Testing dt=0.019918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019918-0.005492 (0.014426) Potential Increase in error ---POS Preserved --Testing dt=0.019919 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019919-0.005486 (0.014433) Potential Increase in error ---POS Preserved --Testing dt=0.01992 ---POS Violated after 5 steps t=0.099600 (-1.451902e-05) L2 error at time of violation: 0.127598 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019919 Theoretial Max dt=0.029879 results_pos = max_dt: 0.0199 s: 5 k: 5 p: [] dx: 0.0100 r: 2.9879 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 6 steps t=0.084000 (3.188524e-03) L2 error at time of violation: 0.0999081 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 ---TVD Violated after 8 steps t=0.106400 (5.492757e-04) L2 error at time of violation: 0.08019 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01321-0.00611 (0.0071) Potential Increase in error ---TVD Preserved --Testing dt=0.01322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01322-0.00602 (0.0072) Potential Increase in error ---TVD Preserved --Testing dt=0.01323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01323-0.00593 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.01324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01324-0.00584 (0.0074) Potential Increase in error ---TVD Preserved --Testing dt=0.01325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01325-0.00575 (0.0075) Potential Increase in error ---TVD Preserved --Testing dt=0.01326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01326-0.00566 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.01327 ---TVD Violated after 8 steps t=0.106160 (7.019878e-05) L2 error at time of violation: 0.0803535 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013261-0.005651 (0.00761) Potential Increase in error ---TVD Preserved --Testing dt=0.013262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013262-0.005642 (0.00762) Potential Increase in error ---TVD Preserved --Testing dt=0.013263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013263-0.005633 (0.00763) Potential Increase in error ---TVD Preserved --Testing dt=0.013264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013264-0.005624 (0.00764) Potential Increase in error ---TVD Preserved --Testing dt=0.013265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013265-0.005615 (0.00765) Potential Increase in error ---TVD Preserved --Testing dt=0.013266 ---TVD Violated after 8 steps t=0.106128 (1.623484e-06) L2 error at time of violation: 0.0803754 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013265 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-8.414790e-02) L2 error at time of violation: 0.169551 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-5.112835e-02) L2 error at time of violation: 0.170269 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-4.831818e-02) L2 error at time of violation: 0.170119 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-4.804152e-02) L2 error at time of violation: 0.170122 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0320 s: 7 k: 5 p: [] dx: 0.0100 r: 4.4835 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 12 steps t=0.024000 (2.289070e-04) L2 error at time of violation: 0.0161916 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0017-0.0009 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0018 ---TVD Violated after 40 steps t=0.072000 (1.609113e-11) L2 error at time of violation: 0.0145793 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00171-0.00017 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00172-0.00116 (0.00056) Potential Increase in error ---TVD Preserved --Testing dt=0.00173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00173-0.00044 (0.00129) Potential Increase in error ---TVD Preserved --Testing dt=0.00174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00174-0.00146 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00175-0.00075 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00176 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00176-4e-05 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00177 ---TVD Violated after 49 steps t=0.086730 (4.172218e-13) L2 error at time of violation: 0.0207836 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001761-0.00173 (3.1e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.001762 ---TVD Violated after 55 steps t=0.096910 (1.094680e-13) L2 error at time of violation: 0.0115209 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001761 Theoretial Max dt=0.004953 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 ---POS Violated after 9 steps t=0.036000 (-9.511621e-03) L2 error at time of violation: 0.0498511 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0036 ---POS Violated after 16 steps t=0.057600 (-4.428001e-03) L2 error at time of violation: 0.0392047 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00351-0.00215 (0.00136) Potential Increase in error ---POS Preserved --Testing dt=0.00352 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00352-0.0018 (0.00172) Potential Increase in error ---POS Preserved --Testing dt=0.00353 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00353-0.00145 (0.00208) Potential Increase in error ---POS Preserved --Testing dt=0.00354 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00354-0.0011 (0.00244) Potential Increase in error ---POS Preserved --Testing dt=0.00355 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00355-0.00075 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.00356 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00356-0.0004 (0.00316) Potential Increase in error ---POS Preserved --Testing dt=0.00357 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00357-5e-05 (0.00352) Potential Increase in error ---POS Preserved --Testing dt=0.00358 ---POS Violated after 16 steps t=0.057280 (-5.914325e-04) L2 error at time of violation: 0.0379209 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003571 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003571-1.5e-05 (0.003556) Potential Increase in error ---POS Preserved --Testing dt=0.003572 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003572-0.003552 (2e-05) Potential Increase in error ---POS Preserved --Testing dt=0.003573 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003573-0.003518 (5.5e-05) Potential Increase in error ---POS Preserved --Testing dt=0.003574 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003574-0.003484 (9e-05) Potential Increase in error ---POS Preserved --Testing dt=0.003575 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003575-0.00345 (0.000125) Potential Increase in error ---POS Preserved --Testing dt=0.003576 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003576-0.003416 (0.00016) Potential Increase in error ---POS Preserved --Testing dt=0.003577 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003577-0.003382 (0.000195) Potential Increase in error ---POS Preserved --Testing dt=0.003578 ---POS Violated after 16 steps t=0.057248 (-1.929519e-04) L2 error at time of violation: 0.0377963 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003577 Theoretial Max dt=0.004953 results_pos = max_dt: 0.0036 s: 2 k: 3 p: [] dx: 0.0100 r: 0.4953 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 4 steps t=0.048000 (9.062707e-04) L2 error at time of violation: 0.0877807 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 4 steps t=0.048000 (9.062707e-04) L2 error at time of violation: 0.0877807 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01191-0.0059 (0.00601) Potential Increase in error ---TVD Preserved --Testing dt=0.01192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01192-0.0058 (0.00612) Potential Increase in error ---TVD Preserved --Testing dt=0.01193 ---TVD Violated after 7 steps t=0.083510 (1.289225e-08) L2 error at time of violation: 0.0640332 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011921-0.00579 (0.006131) Potential Increase in error ---TVD Preserved --Testing dt=0.011922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011922-0.00578 (0.006142) Potential Increase in error ---TVD Preserved --Testing dt=0.011923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011923-0.00577 (0.006153) Potential Increase in error ---TVD Preserved --Testing dt=0.011924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011924-0.00576 (0.006164) Potential Increase in error ---TVD Preserved --Testing dt=0.011925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011925-0.00575 (0.006175) Potential Increase in error ---TVD Preserved --Testing dt=0.011926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011926-0.00574 (0.006186) Potential Increase in error ---TVD Preserved --Testing dt=0.011927 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011927-0.00573 (0.006197) Potential Increase in error ---TVD Preserved --Testing dt=0.011928 ---TVD Violated after 7 steps t=0.083496 (1.677487e-09) L2 error at time of violation: 0.0640384 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011927 Theoretial Max dt=0.035794 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 4 steps t=0.100000 (-1.557654e-02) L2 error at time of violation: 0.127597 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 4 steps t=0.097200 (-1.679597e-03) L2 error at time of violation: 0.122501 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 ---POS Violated after 4 steps t=0.096840 (-1.111239e-04) L2 error at time of violation: 0.122384 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024201-0.003995 (0.020206) Potential Increase in error ---POS Preserved --Testing dt=0.024202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024202-0.00399 (0.020212) Potential Increase in error ---POS Preserved --Testing dt=0.024203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024203-0.003985 (0.020218) Potential Increase in error ---POS Preserved --Testing dt=0.024204 ---POS Violated after 4 steps t=0.096816 (-8.817777e-06) L2 error at time of violation: 0.122376 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024203 Theoretial Max dt=0.035794 results_pos = max_dt: 0.0242 s: 8 k: 4 p: [] dx: 0.0100 r: 3.5794 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 3 steps t=0.045000 (6.598423e-04) L2 error at time of violation: 0.0361495 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 ---TVD Violated after 3 steps t=0.042900 (1.164796e-04) L2 error at time of violation: 0.0366168 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01421-0.01132 (0.00289) Potential Increase in error ---TVD Preserved --Testing dt=0.01422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01422-0.01124 (0.00298) Potential Increase in error ---TVD Preserved --Testing dt=0.01423 ---TVD Violated after 3 steps t=0.042690 (1.308039e-05) L2 error at time of violation: 0.0367716 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014221-0.011232 (0.002989) Potential Increase in error ---TVD Preserved --Testing dt=0.014222 ---TVD Violated after 3 steps t=0.042666 (1.054395e-06) L2 error at time of violation: 0.0367906 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014221 Theoretial Max dt=0.052705 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 ---POS Violated after 4 steps t=0.116000 (-2.445391e-02) L2 error at time of violation: 0.0936704 Refining dt search increment 0.001->0.0001 --Testing dt=0.0281 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0281-0.0126 (0.0155) Potential Increase in error ---POS Preserved --Testing dt=0.0282 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0282-0.0122 (0.016) Potential Increase in error ---POS Preserved --Testing dt=0.0283 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0283-0.0118 (0.0165) Potential Increase in error ---POS Preserved --Testing dt=0.0284 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0284-0.0114 (0.017) Potential Increase in error ---POS Preserved --Testing dt=0.0285 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0285-0.011 (0.0175) Potential Increase in error ---POS Preserved --Testing dt=0.0286 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0286-0.0106 (0.018) Potential Increase in error ---POS Preserved --Testing dt=0.0287 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0287-0.0102 (0.0185) Potential Increase in error ---POS Preserved --Testing dt=0.0288 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0288-0.0098 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.0289 ---POS Violated after 4 steps t=0.115600 (-1.405726e-02) L2 error at time of violation: 0.0855107 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02881-0.00976 (0.01905) Potential Increase in error ---POS Preserved --Testing dt=0.02882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02882-0.00972 (0.0191) Potential Increase in error ---POS Preserved --Testing dt=0.02883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02883-0.00968 (0.01915) Potential Increase in error ---POS Preserved --Testing dt=0.02884 ---POS Violated after 4 steps t=0.115360 (-5.133713e-03) L2 error at time of violation: 0.0835814 Refining dt search increment 1e-05->1e-06 --Testing dt=0.028831 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028831-0.009676 (0.019155) Potential Increase in error ---POS Preserved --Testing dt=0.028832 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028832-0.009672 (0.01916) Potential Increase in error ---POS Preserved --Testing dt=0.028833 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028833-0.009668 (0.019165) Potential Increase in error ---POS Preserved --Testing dt=0.028834 ---POS Violated after 4 steps t=0.115336 (-3.293906e-04) L2 error at time of violation: 0.083219 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.028833 Theoretial Max dt=0.052705 results_pos = max_dt: 0.0288 s: 9 k: 2 p: [] dx: 0.0100 r: 5.2705 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.152000 (4.331270e-02) L2 error at time of violation: 0.173413 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.144800 (3.345776e-02) L2 error at time of violation: 0.169004 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01801 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.144080 (3.240308e-02) L2 error at time of violation: 0.168881 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018001 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.144008 (3.229692e-02) L2 error at time of violation: 0.168869 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018000 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.008 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.02 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.209000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.009 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.021 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.220000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.01 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.022 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.231000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.011 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.023 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.242000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.012 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.024 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.253000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.013 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.025 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.264000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025-0.014 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.026 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.275000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.015 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.027 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.286000 ---POS Violated after 10 steps t=0.270000 (-6.438914e-02) L2 error at time of violation: 0.194382 Refining dt search increment 0.001->0.0001 --Testing dt=0.0261 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.286000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0261-0.025 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0262 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287100 ---POS Violated after 10 steps t=0.262000 (-1.678365e-02) L2 error at time of violation: 0.189125 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02611 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287100 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02611-0.026 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02612 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287210 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02612-0.02601 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02613 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287320 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02613-0.02602 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02614 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287430 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02614-0.02603 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02615 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287540 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02615-0.02604 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02616 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287650 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02616-0.02605 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02617 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287760 ---POS Violated after 10 steps t=0.261700 (-1.061654e-03) L2 error at time of violation: 0.188686 Refining dt search increment 1e-05->1e-06 --Testing dt=0.026161 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287760 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026161-0.02615 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026162 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026162-0.026151 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026163 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026163-0.026152 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026164 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026164-0.026153 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026165 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287804 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026165-0.026154 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026166 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287815 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026166-0.026155 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026167 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287826 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026167-0.026156 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.026168 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.287837 ---POS Violated after 10 steps t=0.261680 (-9.212046e-05) L2 error at time of violation: 0.188671 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.026167 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0262 s: 7 k: 8 p: [] dx: 0.0100 r: 4.4835 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 12 steps t=0.024000 (1.162802e-03) L2 error at time of violation: 0.0200601 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0017-0.0009 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0018-0.0008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0019 ---TVD Violated after 12 steps t=0.022800 (4.044503e-05) L2 error at time of violation: 0.0226049 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00181-0.00011 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.00182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00182-0.00124 (0.00058) Potential Increase in error ---TVD Preserved --Testing dt=0.00183 ---TVD Violated after 44 steps t=0.080520 (1.113776e-12) L2 error at time of violation: 0.0144046 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001821 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001821-0.001172 (0.000649) Potential Increase in error ---TVD Preserved --Testing dt=0.001822 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001822-0.001104 (0.000718) Potential Increase in error ---TVD Preserved --Testing dt=0.001823 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001823-0.001036 (0.000787) Potential Increase in error ---TVD Preserved --Testing dt=0.001824 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001824-0.000968 (0.000856) Potential Increase in error ---TVD Preserved --Testing dt=0.001825 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001825-0.0009 (0.000925) Potential Increase in error ---TVD Preserved --Testing dt=0.001826 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001826-0.000832 (0.000994) Potential Increase in error ---TVD Preserved --Testing dt=0.001827 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001827-0.000764 (0.001063) Potential Increase in error ---TVD Preserved --Testing dt=0.001828 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001828-0.000696 (0.001132) Potential Increase in error ---TVD Preserved --Testing dt=0.001829 ---TVD Violated after 44 steps t=0.080476 (2.646772e-13) L2 error at time of violation: 0.0142323 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001828 Theoretial Max dt=0.002391 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 4 steps t=0.020000 (-8.084853e-02) L2 error at time of violation: 0.0504022 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0043 ---POS Violated after 4 steps t=0.017200 (-8.875468e-03) L2 error at time of violation: 0.0463296 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00421 ---POS Violated after 4 steps t=0.016840 (-3.059524e-04) L2 error at time of violation: 0.0458958 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004201-0.003171 (0.00103) Potential Increase in error ---POS Preserved --Testing dt=0.004202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004202-0.003142 (0.00106) Potential Increase in error ---POS Preserved --Testing dt=0.004203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004203-0.003113 (0.00109) Potential Increase in error ---POS Preserved --Testing dt=0.004204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004204-0.003084 (0.00112) Potential Increase in error ---POS Preserved --Testing dt=0.004205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004205-0.003055 (0.00115) Potential Increase in error ---POS Preserved --Testing dt=0.004206 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004206-0.003026 (0.00118) Potential Increase in error ---POS Preserved --Testing dt=0.004207 ---POS Violated after 4 steps t=0.016828 (-2.028632e-05) L2 error at time of violation: 0.0458804 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004206 Theoretial Max dt=0.002391 results_pos = max_dt: 0.0042 s: 5 k: 4 p: [] dx: 0.0100 r: 0.2391 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s8k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 19 steps t=0.076000 (5.235197e-08) L2 error at time of violation: 0.0394717 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0037-0.0029 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0038-0.0034 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0039-0.0002 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 19 steps t=0.076000 (5.235197e-08) L2 error at time of violation: 0.0394717 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00391-0.00379 (0.00012) Potential Increase in error ---TVD Preserved --Testing dt=0.00392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00392-0.00348 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00393-0.00317 (0.00076) Potential Increase in error ---TVD Preserved --Testing dt=0.00394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00394-0.00286 (0.00108) Potential Increase in error ---TVD Preserved --Testing dt=0.00395 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00395-0.00255 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.00396 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00396-0.00224 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00397 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00397-0.00193 (0.00204) Potential Increase in error ---TVD Preserved --Testing dt=0.00398 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00398-0.00162 (0.00236) Potential Increase in error ---TVD Preserved --Testing dt=0.00399 ---TVD Violated after 19 steps t=0.075810 (2.288274e-08) L2 error at time of violation: 0.0397959 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003981-0.001589 (0.002392) Potential Increase in error ---TVD Preserved --Testing dt=0.003982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003982-0.001558 (0.002424) Potential Increase in error ---TVD Preserved --Testing dt=0.003983 ---TVD Violated after 19 steps t=0.075677 (2.694429e-09) L2 error at time of violation: 0.0400227 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003982 Theoretial Max dt=0.011948 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s8k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 8 steps t=0.064000 (-1.641644e-03) L2 error at time of violation: 0.0994824 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0075 ---POS Violated after 15 steps t=0.112500 (-1.749264e-02) L2 error at time of violation: 0.0841378 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00741-0.00644 (0.00097) Potential Increase in error ---POS Preserved --Testing dt=0.00742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00742-0.00628 (0.00114) Potential Increase in error ---POS Preserved --Testing dt=0.00743 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00743-0.00612 (0.00131) Potential Increase in error ---POS Preserved --Testing dt=0.00744 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00744-0.00596 (0.00148) Potential Increase in error ---POS Preserved --Testing dt=0.00745 ---POS Violated after 15 steps t=0.111750 (-7.501228e-04) L2 error at time of violation: 0.0810847 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007441-0.005944 (0.001497) Potential Increase in error ---POS Preserved --Testing dt=0.007442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007442-0.005928 (0.001514) Potential Increase in error ---POS Preserved --Testing dt=0.007443 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007443-0.005912 (0.001531) Potential Increase in error ---POS Preserved --Testing dt=0.007444 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007444-0.005896 (0.001548) Potential Increase in error ---POS Preserved --Testing dt=0.007445 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007445-0.00588 (0.001565) Potential Increase in error ---POS Preserved --Testing dt=0.007446 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007446-0.005864 (0.001582) Potential Increase in error ---POS Preserved --Testing dt=0.007447 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007447-0.005848 (0.001599) Potential Increase in error ---POS Preserved --Testing dt=0.007448 ---POS Violated after 15 steps t=0.111720 (-5.688518e-05) L2 error at time of violation: 0.0809825 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007447 Theoretial Max dt=0.011948 results_pos = max_dt: 0.0074 s: 8 k: 8 p: [] dx: 0.0100 r: 1.1948 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 6 steps t=0.102000 (2.869441e-04) L2 error at time of violation: 0.111184 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0167 ---TVD Violated after 6 steps t=0.100200 (2.713363e-03) L2 error at time of violation: 0.1114 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01661-0.00873 (0.00788) Potential Increase in error ---TVD Preserved --Testing dt=0.01662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01662-0.00866 (0.00796) Potential Increase in error ---TVD Preserved --Testing dt=0.01663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01663-0.00859 (0.00804) Potential Increase in error ---TVD Preserved --Testing dt=0.01664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01664-0.00852 (0.00812) Potential Increase in error ---TVD Preserved --Testing dt=0.01665 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01665-0.00845 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.01666 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01666-0.00838 (0.00828) Potential Increase in error ---TVD Preserved --Testing dt=0.01667 ---TVD Violated after 6 steps t=0.100020 (3.025787e-04) L2 error at time of violation: 0.111433 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016661-0.008373 (0.008288) Potential Increase in error ---TVD Preserved --Testing dt=0.016662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016662-0.008366 (0.008296) Potential Increase in error ---TVD Preserved --Testing dt=0.016663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016663-0.008359 (0.008304) Potential Increase in error ---TVD Preserved --Testing dt=0.016664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016664-0.008352 (0.008312) Potential Increase in error ---TVD Preserved --Testing dt=0.016665 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016665-0.008345 (0.00832) Potential Increase in error ---TVD Preserved --Testing dt=0.016666 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016666-0.008338 (0.008328) Potential Increase in error ---TVD Preserved --Testing dt=0.016667 ---TVD Violated after 6 steps t=0.100002 (5.948453e-05) L2 error at time of violation: 0.111436 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016666 Theoretial Max dt=0.053035 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 7 steps t=0.231000 (-6.270790e-03) L2 error at time of violation: 0.166467 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 7 steps t=0.224700 (-5.167309e-03) L2 error at time of violation: 0.158456 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03201-0.03193 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03202 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256080 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03202-0.03194 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03203 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256160 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03203-0.03195 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03204 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256240 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03204-0.03196 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03205 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256320 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03205-0.03197 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03206 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03206-0.03198 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03207 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256480 ---POS Violated after 7 steps t=0.224490 (-6.117627e-02) L2 error at time of violation: 0.169341 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032061 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256480 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032061-0.032053 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032062 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256488 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032062-0.032054 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032063 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256496 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032063-0.032055 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032064 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256504 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032064-0.032056 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032065 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256512 ---POS Violated after 7 steps t=0.224455 (-1.870100e-04) L2 error at time of violation: 0.170675 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032064 Theoretial Max dt=0.053035 results_pos = max_dt: 0.0321 s: 9 k: 5 p: [] dx: 0.0100 r: 5.3035 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 3 steps t=0.024000 (3.773311e-05) L2 error at time of violation: 0.0573233 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 ---TVD Violated after 3 steps t=0.021300 (6.803034e-06) L2 error at time of violation: 0.0580429 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00701-0.00583 (0.00118) Potential Increase in error ---TVD Preserved --Testing dt=0.00702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00702-0.00566 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00703-0.00549 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00704-0.00532 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.00705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00705-0.00515 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.00706 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00706-0.00498 (0.00208) Potential Increase in error ---TVD Preserved --Testing dt=0.00707 ---TVD Violated after 3 steps t=0.021210 (2.233779e-06) L2 error at time of violation: 0.0580756 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007061 ---TVD Violated after 3 steps t=0.021183 (1.596945e-11) L2 error at time of violation: 0.0580855 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007060 Theoretial Max dt=0.008024 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 ---POS Violated after 3 steps t=0.066000 (-1.778536e-02) L2 error at time of violation: 0.0921766 Refining dt search increment 0.001->0.0001 --Testing dt=0.0211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0211-0.0195 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.0212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0212-0.019 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0213-0.0185 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0214 ---POS Violated after 4 steps t=0.085600 (-5.683311e-04) L2 error at time of violation: 0.0852843 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02131-0.01845 (0.00286) Potential Increase in error ---POS Preserved --Testing dt=0.02132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02132-0.0184 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.02133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02133-0.01835 (0.00298) Potential Increase in error ---POS Preserved --Testing dt=0.02134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02134-0.0183 (0.00304) Potential Increase in error ---POS Preserved --Testing dt=0.02135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02135-0.01825 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.02136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02136-0.0182 (0.00316) Potential Increase in error ---POS Preserved --Testing dt=0.02137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02137-0.01815 (0.00322) Potential Increase in error ---POS Preserved --Testing dt=0.02138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02138-0.0181 (0.00328) Potential Increase in error ---POS Preserved --Testing dt=0.02139 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02139-0.01805 (0.00334) Potential Increase in error ---POS Preserved --Testing dt=0.0214 ---POS Violated after 4 steps t=0.085600 (-5.683311e-04) L2 error at time of violation: 0.0852843 Refining dt search increment 1e-05->1e-06 --Testing dt=0.021391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021391-0.018045 (0.003346) Potential Increase in error ---POS Preserved --Testing dt=0.021392 ---POS Violated after 4 steps t=0.085568 (-2.449281e-05) L2 error at time of violation: 0.0854033 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.021391 Theoretial Max dt=0.008024 results_pos = max_dt: 0.0214 s: 10 k: 3 p: [] dx: 0.0100 r: 0.8024 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 14s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 5 steps t=0.050000 (1.356838e-05) L2 error at time of violation: 0.0492841 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0096 ---TVD Violated after 11 steps t=0.105600 (2.722267e-13) L2 error at time of violation: 0.0204638 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00951-0.00137 (0.00814) Potential Increase in error ---TVD Preserved --Testing dt=0.00952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00952-0.00124 (0.00828) Potential Increase in error ---TVD Preserved --Testing dt=0.00953 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00953-0.00111 (0.00842) Potential Increase in error ---TVD Preserved --Testing dt=0.00954 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00954-0.00098 (0.00856) Potential Increase in error ---TVD Preserved --Testing dt=0.00955 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00955-0.00085 (0.0087) Potential Increase in error ---TVD Preserved --Testing dt=0.00956 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00956-0.00072 (0.00884) Potential Increase in error ---TVD Preserved --Testing dt=0.00957 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00957-0.00059 (0.00898) Potential Increase in error ---TVD Preserved --Testing dt=0.00958 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00958-0.00046 (0.00912) Potential Increase in error ---TVD Preserved --Testing dt=0.00959 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00959-0.00033 (0.00926) Potential Increase in error ---TVD Preserved --Testing dt=0.0096 ---TVD Violated after 11 steps t=0.105600 (2.726708e-13) L2 error at time of violation: 0.0204638 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009591-0.000317 (0.009274) Potential Increase in error ---TVD Preserved --Testing dt=0.009592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009592-0.000304 (0.009288) Potential Increase in error ---TVD Preserved --Testing dt=0.009593 ---TVD Violated after 11 steps t=0.105523 (1.056932e-13) L2 error at time of violation: 0.0205437 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009592 Theoretial Max dt=0.013615 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 14s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 ---POS Violated after 5 steps t=0.090000 (-2.893472e-02) L2 error at time of violation: 0.0694637 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 ---POS Violated after 6 steps t=0.102600 (-1.578277e-02) L2 error at time of violation: 0.0705601 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01701 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01701-0.00593 (0.01108) Potential Increase in error ---POS Preserved --Testing dt=0.01702 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01702-0.00586 (0.01116) Potential Increase in error ---POS Preserved --Testing dt=0.01703 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01703-0.00579 (0.01124) Potential Increase in error ---POS Preserved --Testing dt=0.01704 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01704-0.00572 (0.01132) Potential Increase in error ---POS Preserved --Testing dt=0.01705 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01705-0.00565 (0.0114) Potential Increase in error ---POS Preserved --Testing dt=0.01706 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01706-0.00558 (0.01148) Potential Increase in error ---POS Preserved --Testing dt=0.01707 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01707-0.00551 (0.01156) Potential Increase in error ---POS Preserved --Testing dt=0.01708 ---POS Violated after 6 steps t=0.102480 (-5.480639e-03) L2 error at time of violation: 0.0704921 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017071-0.005503 (0.011568) Potential Increase in error ---POS Preserved --Testing dt=0.017072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017072-0.005496 (0.011576) Potential Increase in error ---POS Preserved --Testing dt=0.017073 ---POS Violated after 6 steps t=0.102438 (-3.949527e-04) L2 error at time of violation: 0.0703782 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017072 Theoretial Max dt=0.013615 results_pos = max_dt: 0.0171 s: 14 k: 3 p: [] dx: 0.0100 r: 1.3615 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s5k9p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 12 steps t=0.084000 (6.719479e-09) L2 error at time of violation: 0.0448871 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 ---TVD Violated after 16 steps t=0.107200 (5.486722e-13) L2 error at time of violation: 0.0287531 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00661-0.00602 (0.00059) Potential Increase in error ---TVD Preserved --Testing dt=0.00662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00662-0.00584 (0.00078) Potential Increase in error ---TVD Preserved --Testing dt=0.00663 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00663-0.00566 (0.00097) Potential Increase in error ---TVD Preserved --Testing dt=0.00664 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00664-0.00548 (0.00116) Potential Increase in error ---TVD Preserved --Testing dt=0.00665 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00665-0.0053 (0.00135) Potential Increase in error ---TVD Preserved --Testing dt=0.00666 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00666-0.00512 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00667 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00667-0.00494 (0.00173) Potential Increase in error ---TVD Preserved --Testing dt=0.00668 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00668-0.00476 (0.00192) Potential Increase in error ---TVD Preserved --Testing dt=0.00669 ---TVD Violated after 16 steps t=0.107040 (2.291500e-13) L2 error at time of violation: 0.0290298 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006681 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006681-0.004742 (0.001939) Potential Increase in error ---TVD Preserved --Testing dt=0.006682 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006682-0.004724 (0.001958) Potential Increase in error ---TVD Preserved --Testing dt=0.006683 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006683-0.004706 (0.001977) Potential Increase in error ---TVD Preserved --Testing dt=0.006684 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006684-0.004688 (0.001996) Potential Increase in error ---TVD Preserved --Testing dt=0.006685 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006685-0.00467 (0.002015) Potential Increase in error ---TVD Preserved --Testing dt=0.006686 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006686-0.004652 (0.002034) Potential Increase in error ---TVD Preserved --Testing dt=0.006687 ---TVD Violated after 16 steps t=0.106992 (1.267875e-13) L2 error at time of violation: 0.0291163 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006686 Theoretial Max dt=0.018452 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s5k9p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 ---POS Violated after 5 steps t=0.090000 (-4.469948e-03) L2 error at time of violation: 0.123553 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0171-0.0053 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0172-0.0046 (0.0126) Potential Increase in error ---POS Preserved --Testing dt=0.0173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0173-0.0039 (0.0134) Potential Increase in error ---POS Preserved --Testing dt=0.0174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0174-0.0032 (0.0142) Potential Increase in error ---POS Preserved --Testing dt=0.0175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0175-0.0025 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.0176 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0176-0.0018 (0.0158) Potential Increase in error ---POS Preserved --Testing dt=0.0177 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0177-0.0011 (0.0166) Potential Increase in error ---POS Preserved --Testing dt=0.0178 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0178-0.0004 (0.0174) Potential Increase in error ---POS Preserved --Testing dt=0.0179 ---POS Violated after 5 steps t=0.089500 (-1.863547e-03) L2 error at time of violation: 0.123428 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01781-0.00033 (0.01748) Potential Increase in error ---POS Preserved --Testing dt=0.01782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01782-0.00026 (0.01756) Potential Increase in error ---POS Preserved --Testing dt=0.01783 ---POS Violated after 5 steps t=0.089150 (-3.060668e-05) L2 error at time of violation: 0.123343 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017821 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017821-0.000253 (0.017568) Potential Increase in error ---POS Preserved --Testing dt=0.017822 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017822-0.000246 (0.017576) Potential Increase in error ---POS Preserved --Testing dt=0.017823 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017823-0.000239 (0.017584) Potential Increase in error ---POS Preserved --Testing dt=0.017824 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017824-0.000232 (0.017592) Potential Increase in error ---POS Preserved --Testing dt=0.017825 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017825-0.000225 (0.0176) Potential Increase in error ---POS Preserved --Testing dt=0.017826 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017826-0.000218 (0.017608) Potential Increase in error ---POS Preserved --Testing dt=0.017827 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017827-0.000211 (0.017616) Potential Increase in error ---POS Preserved --Testing dt=0.017828 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017828-0.000204 (0.017624) Potential Increase in error ---POS Preserved --Testing dt=0.017829 ---POS Violated after 5 steps t=0.089145 (-4.389172e-06) L2 error at time of violation: 0.123341 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017828 Theoretial Max dt=0.018452 results_pos = max_dt: 0.0178 s: 12 k: 5 p: [] dx: 0.0100 r: 1.8452 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 9 steps t=0.063000 (3.228517e-04) L2 error at time of violation: 0.0739096 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 ---TVD Violated after 9 steps t=0.057600 (5.362574e-05) L2 error at time of violation: 0.0685257 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00631-0.00511 (0.0012) Potential Increase in error ---TVD Preserved --Testing dt=0.00632 ---TVD Violated after 9 steps t=0.056880 (4.547282e-06) L2 error at time of violation: 0.0690327 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006311-0.005091 (0.00122) Potential Increase in error ---TVD Preserved --Testing dt=0.006312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006312-0.005072 (0.00124) Potential Increase in error ---TVD Preserved --Testing dt=0.006313 ---TVD Violated after 9 steps t=0.056817 (6.488871e-08) L2 error at time of violation: 0.0690797 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006312 Theoretial Max dt=0.020845 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 6 steps t=0.090000 (-2.515452e-02) L2 error at time of violation: 0.128993 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 ---POS Violated after 7 steps t=0.099400 (-1.247563e-03) L2 error at time of violation: 0.116612 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01411-0.01212 (0.00199) Potential Increase in error ---POS Preserved --Testing dt=0.01412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01412-0.01204 (0.00208) Potential Increase in error ---POS Preserved --Testing dt=0.01413 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01413-0.01196 (0.00217) Potential Increase in error ---POS Preserved --Testing dt=0.01414 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01414-0.01188 (0.00226) Potential Increase in error ---POS Preserved --Testing dt=0.01415 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01415-0.0118 (0.00235) Potential Increase in error ---POS Preserved --Testing dt=0.01416 ---POS Violated after 7 steps t=0.099120 (-4.058080e-05) L2 error at time of violation: 0.11646 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014151-0.011792 (0.002359) Potential Increase in error ---POS Preserved --Testing dt=0.014152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014152-0.011784 (0.002368) Potential Increase in error ---POS Preserved --Testing dt=0.014153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014153-0.011776 (0.002377) Potential Increase in error ---POS Preserved --Testing dt=0.014154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014154-0.011768 (0.002386) Potential Increase in error ---POS Preserved --Testing dt=0.014155 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014155-0.01176 (0.002395) Potential Increase in error ---POS Preserved --Testing dt=0.014156 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014156-0.011752 (0.002404) Potential Increase in error ---POS Preserved --Testing dt=0.014157 ---POS Violated after 8 steps t=0.113256 (-2.003815e-05) L2 error at time of violation: 0.107963 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014156 Theoretial Max dt=0.020845 results_pos = max_dt: 0.0142 s: 6 k: 6 p: [] dx: 0.0100 r: 2.0845 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 5 steps t=0.050000 (7.421344e-03) L2 error at time of violation: 0.091056 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0096 ---TVD Violated after 5 steps t=0.048000 (6.749098e-04) L2 error at time of violation: 0.0913691 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00951-0.00137 (0.00814) Potential Increase in error ---TVD Preserved --Testing dt=0.00952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00952-0.00124 (0.00828) Potential Increase in error ---TVD Preserved --Testing dt=0.00953 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00953-0.00111 (0.00842) Potential Increase in error ---TVD Preserved --Testing dt=0.00954 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00954-0.00098 (0.00856) Potential Increase in error ---TVD Preserved --Testing dt=0.00955 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00955-0.00085 (0.0087) Potential Increase in error ---TVD Preserved --Testing dt=0.00956 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00956-0.00072 (0.00884) Potential Increase in error ---TVD Preserved --Testing dt=0.00957 ---TVD Violated after 5 steps t=0.047850 (1.304865e-04) L2 error at time of violation: 0.0913913 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009561-0.000707 (0.008854) Potential Increase in error ---TVD Preserved --Testing dt=0.009562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009562-0.000694 (0.008868) Potential Increase in error ---TVD Preserved --Testing dt=0.009563 ---TVD Violated after 5 steps t=0.047815 (2.639332e-06) L2 error at time of violation: 0.0913965 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009562 Theoretial Max dt=0.030886 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 ---POS Violated after 5 steps t=0.095000 (-1.330655e-02) L2 error at time of violation: 0.128051 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---POS Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---POS Preserved --Testing dt=0.0186 ---POS Violated after 5 steps t=0.093000 (-2.087889e-04) L2 error at time of violation: 0.121801 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01851-0.01394 (0.00457) Potential Increase in error ---POS Preserved --Testing dt=0.01852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01852-0.01388 (0.00464) Potential Increase in error ---POS Preserved --Testing dt=0.01853 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01853-0.01382 (0.00471) Potential Increase in error ---POS Preserved --Testing dt=0.01854 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01854-0.01376 (0.00478) Potential Increase in error ---POS Preserved --Testing dt=0.01855 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01855-0.0137 (0.00485) Potential Increase in error ---POS Preserved --Testing dt=0.01856 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01856-0.01364 (0.00492) Potential Increase in error ---POS Preserved --Testing dt=0.01857 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01857-0.01358 (0.00499) Potential Increase in error ---POS Preserved --Testing dt=0.01858 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01858-0.01352 (0.00506) Potential Increase in error ---POS Preserved --Testing dt=0.01859 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01859-0.01346 (0.00513) Potential Increase in error ---POS Preserved --Testing dt=0.0186 ---POS Violated after 5 steps t=0.093000 (-2.087889e-04) L2 error at time of violation: 0.121801 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018591-0.013454 (0.005137) Potential Increase in error ---POS Preserved --Testing dt=0.018592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018592-0.013448 (0.005144) Potential Increase in error ---POS Preserved --Testing dt=0.018593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018593-0.013442 (0.005151) Potential Increase in error ---POS Preserved --Testing dt=0.018594 ---POS Violated after 5 steps t=0.092970 (-1.578600e-05) L2 error at time of violation: 0.121773 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018593 Theoretial Max dt=0.030886 results_pos = max_dt: 0.0186 s: 10 k: 5 p: [] dx: 0.0100 r: 3.0886 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 8 steps t=0.032000 (2.634587e-03) L2 error at time of violation: 0.0409183 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 ---TVD Violated after 23 steps t=0.078200 (1.601637e-10) L2 error at time of violation: 0.0199143 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00331-0.00253 (0.00078) Potential Increase in error ---TVD Preserved --Testing dt=0.00332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00332-0.00216 (0.00116) Potential Increase in error ---TVD Preserved --Testing dt=0.00333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00333-0.00179 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00334-0.00142 (0.00192) Potential Increase in error ---TVD Preserved --Testing dt=0.00335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00335-0.00105 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.00336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00336-0.00068 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00337-0.00031 (0.00306) Potential Increase in error ---TVD Preserved --Testing dt=0.00338 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00338-0.00332 (6e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00339 ---TVD Violated after 23 steps t=0.077970 (4.099365e-11) L2 error at time of violation: 0.0189056 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003381-0.003284 (9.7e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.003382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003382-0.003248 (0.000134) Potential Increase in error ---TVD Preserved --Testing dt=0.003383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003383-0.003212 (0.000171) Potential Increase in error ---TVD Preserved --Testing dt=0.003384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003384-0.003176 (0.000208) Potential Increase in error ---TVD Preserved --Testing dt=0.003385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003385-0.00314 (0.000245) Potential Increase in error ---TVD Preserved --Testing dt=0.003386 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003386-0.003104 (0.000282) Potential Increase in error ---TVD Preserved --Testing dt=0.003387 ---TVD Violated after 23 steps t=0.077901 (2.726708e-12) L2 error at time of violation: 0.0190495 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003386 Theoretial Max dt=0.008820 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 6 steps t=0.042000 (-5.185937e-03) L2 error at time of violation: 0.071944 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---POS Preserved --Testing dt=0.0068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0068-0.0026 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.0069 ---POS Violated after 6 steps t=0.041400 (-4.780619e-04) L2 error at time of violation: 0.0715861 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00681 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00681-0.00242 (0.00439) Potential Increase in error ---POS Preserved --Testing dt=0.00682 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00682-0.00224 (0.00458) Potential Increase in error ---POS Preserved --Testing dt=0.00683 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00683-0.00206 (0.00477) Potential Increase in error ---POS Preserved --Testing dt=0.00684 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00684-0.00188 (0.00496) Potential Increase in error ---POS Preserved --Testing dt=0.00685 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00685-0.0017 (0.00515) Potential Increase in error ---POS Preserved --Testing dt=0.00686 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00686-0.00152 (0.00534) Potential Increase in error ---POS Preserved --Testing dt=0.00687 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00687-0.00134 (0.00553) Potential Increase in error ---POS Preserved --Testing dt=0.00688 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00688-0.00116 (0.00572) Potential Increase in error ---POS Preserved --Testing dt=0.00689 ---POS Violated after 6 steps t=0.041340 (-4.197295e-05) L2 error at time of violation: 0.0715516 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006881-0.001142 (0.005739) Potential Increase in error ---POS Preserved --Testing dt=0.006882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006882-0.001124 (0.005758) Potential Increase in error ---POS Preserved --Testing dt=0.006883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006883-0.001106 (0.005777) Potential Increase in error ---POS Preserved --Testing dt=0.006884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006884-0.001088 (0.005796) Potential Increase in error ---POS Preserved --Testing dt=0.006885 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006885-0.00107 (0.005815) Potential Increase in error ---POS Preserved --Testing dt=0.006886 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006886-0.001052 (0.005834) Potential Increase in error ---POS Preserved --Testing dt=0.006887 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006887-0.001034 (0.005853) Potential Increase in error ---POS Preserved --Testing dt=0.006888 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006888-0.001016 (0.005872) Potential Increase in error ---POS Preserved --Testing dt=0.006889 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006889-0.000998 (0.005891) Potential Increase in error ---POS Preserved --Testing dt=0.00689 ---POS Violated after 6 steps t=0.041340 (-4.197295e-05) L2 error at time of violation: 0.0715516 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006889 Theoretial Max dt=0.008820 results_pos = max_dt: 0.0069 s: 4 k: 5 p: [] dx: 0.0100 r: 0.8820 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 11 steps t=0.077000 (5.076406e-08) L2 error at time of violation: 0.0495162 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0068-0.0026 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0069 ---TVD Violated after 12 steps t=0.082800 (4.312664e-09) L2 error at time of violation: 0.0452443 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00681 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00681-0.00242 (0.00439) Potential Increase in error ---TVD Preserved --Testing dt=0.00682 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00682-0.00224 (0.00458) Potential Increase in error ---TVD Preserved --Testing dt=0.00683 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00683-0.00206 (0.00477) Potential Increase in error ---TVD Preserved --Testing dt=0.00684 ---TVD Violated after 13 steps t=0.088920 (2.241762e-11) L2 error at time of violation: 0.0408974 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006831 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006831-0.002042 (0.004789) Potential Increase in error ---TVD Preserved --Testing dt=0.006832 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006832-0.002024 (0.004808) Potential Increase in error ---TVD Preserved --Testing dt=0.006833 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006833-0.002006 (0.004827) Potential Increase in error ---TVD Preserved --Testing dt=0.006834 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006834-0.001988 (0.004846) Potential Increase in error ---TVD Preserved --Testing dt=0.006835 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006835-0.00197 (0.004865) Potential Increase in error ---TVD Preserved --Testing dt=0.006836 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006836-0.001952 (0.004884) Potential Increase in error ---TVD Preserved --Testing dt=0.006837 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006837-0.001934 (0.004903) Potential Increase in error ---TVD Preserved --Testing dt=0.006838 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006838-0.001916 (0.004922) Potential Increase in error ---TVD Preserved --Testing dt=0.006839 ---TVD Violated after 13 steps t=0.088907 (5.156986e-12) L2 error at time of violation: 0.0409069 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006838 Theoretial Max dt=0.019527 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 ---POS Violated after 6 steps t=0.108000 (-9.237860e-03) L2 error at time of violation: 0.115196 Refining dt search increment 0.001->0.0001 --Testing dt=0.0171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0171-0.0053 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0172-0.0046 (0.0126) Potential Increase in error ---POS Preserved --Testing dt=0.0173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0173-0.0039 (0.0134) Potential Increase in error ---POS Preserved --Testing dt=0.0174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0174-0.0032 (0.0142) Potential Increase in error ---POS Preserved --Testing dt=0.0175 ---POS Violated after 7 steps t=0.122500 (-9.938591e-05) L2 error at time of violation: 0.10488 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01741-0.00313 (0.01428) Potential Increase in error ---POS Preserved --Testing dt=0.01742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01742-0.00306 (0.01436) Potential Increase in error ---POS Preserved --Testing dt=0.01743 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01743-0.00299 (0.01444) Potential Increase in error ---POS Preserved --Testing dt=0.01744 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01744-0.00292 (0.01452) Potential Increase in error ---POS Preserved --Testing dt=0.01745 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01745-0.00285 (0.0146) Potential Increase in error ---POS Preserved --Testing dt=0.01746 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01746-0.00278 (0.01468) Potential Increase in error ---POS Preserved --Testing dt=0.01747 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01747-0.00271 (0.01476) Potential Increase in error ---POS Preserved --Testing dt=0.01748 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01748-0.00264 (0.01484) Potential Increase in error ---POS Preserved --Testing dt=0.01749 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01749-0.00257 (0.01492) Potential Increase in error ---POS Preserved --Testing dt=0.0175 ---POS Violated after 7 steps t=0.122500 (-9.938591e-05) L2 error at time of violation: 0.10488 Refining dt search increment 1e-05->1e-06 --Testing dt=0.017491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017491-0.002563 (0.014928) Potential Increase in error ---POS Preserved --Testing dt=0.017492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017492-0.002556 (0.014936) Potential Increase in error ---POS Preserved --Testing dt=0.017493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017493-0.002549 (0.014944) Potential Increase in error ---POS Preserved --Testing dt=0.017494 ---POS Violated after 7 steps t=0.122458 (-4.034533e-06) L2 error at time of violation: 0.104862 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.017493 Theoretial Max dt=0.019527 results_pos = max_dt: 0.0175 s: 10 k: 5 p: [] dx: 0.0100 r: 1.9527 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 7 steps t=0.056000 (2.512908e-05) L2 error at time of violation: 0.052599 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0078 ---TVD Violated after 7 steps t=0.054600 (8.271227e-06) L2 error at time of violation: 0.0545298 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00771-0.00164 (0.00607) Potential Increase in error ---TVD Preserved --Testing dt=0.00772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00772-0.00148 (0.00624) Potential Increase in error ---TVD Preserved --Testing dt=0.00773 ---TVD Violated after 7 steps t=0.054110 (1.082992e-06) L2 error at time of violation: 0.0552265 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007721 ---TVD Violated after 7 steps t=0.054047 (1.067268e-07) L2 error at time of violation: 0.0553187 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007720 Theoretial Max dt=0.024274 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 4 steps t=0.068000 (-3.831898e-03) L2 error at time of violation: 0.104738 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0167 ---POS Violated after 5 steps t=0.083500 (-1.144476e-03) L2 error at time of violation: 0.0980586 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01661-0.00873 (0.00788) Potential Increase in error ---POS Preserved --Testing dt=0.01662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01662-0.00866 (0.00796) Potential Increase in error ---POS Preserved --Testing dt=0.01663 ---POS Violated after 5 steps t=0.083150 (-4.877553e-05) L2 error at time of violation: 0.0976432 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016621-0.008653 (0.007968) Potential Increase in error ---POS Preserved --Testing dt=0.016622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016622-0.008646 (0.007976) Potential Increase in error ---POS Preserved --Testing dt=0.016623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016623-0.008639 (0.007984) Potential Increase in error ---POS Preserved --Testing dt=0.016624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016624-0.008632 (0.007992) Potential Increase in error ---POS Preserved --Testing dt=0.016625 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016625-0.008625 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.016626 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016626-0.008618 (0.008008) Potential Increase in error ---POS Preserved --Testing dt=0.016627 ---POS Violated after 5 steps t=0.083135 (-2.713056e-06) L2 error at time of violation: 0.0976259 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016626 Theoretial Max dt=0.024274 results_pos = max_dt: 0.0166 s: 6 k: 4 p: [] dx: 0.0100 r: 2.4274 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 5 steps t=0.060000 (6.284150e-03) L2 error at time of violation: 0.103153 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 ---TVD Violated after 5 steps t=0.057500 (6.683774e-04) L2 error at time of violation: 0.0983027 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01141-0.0109 (0.00051) Potential Increase in error ---TVD Preserved --Testing dt=0.01142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01142-0.0108 (0.00062) Potential Increase in error ---TVD Preserved --Testing dt=0.01143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01143-0.0107 (0.00073) Potential Increase in error ---TVD Preserved --Testing dt=0.01144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01144-0.0106 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.01145 ---TVD Violated after 5 steps t=0.057250 (8.945931e-05) L2 error at time of violation: 0.0983256 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011441-0.01059 (0.000851) Potential Increase in error ---TVD Preserved --Testing dt=0.011442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011442-0.01058 (0.000862) Potential Increase in error ---TVD Preserved --Testing dt=0.011443 ---TVD Violated after 5 steps t=0.057215 (7.893465e-06) L2 error at time of violation: 0.0983288 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011442 Theoretial Max dt=0.035665 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-4.946393e-01) L2 error at time of violation: 0.196238 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-3.914039e-01) L2 error at time of violation: 0.190478 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-3.817155e-01) L2 error at time of violation: 0.189917 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-3.807537e-01) L2 error at time of violation: 0.189861 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.035665 results_pos = max_dt: 0.0320 s: 10 k: 5 p: [] dx: 0.0100 r: 3.5665 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 10 steps t=0.060000 (2.503391e-03) L2 error at time of violation: 0.082505 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 ---TVD Violated after 14 steps t=0.075600 (1.353760e-03) L2 error at time of violation: 0.0693133 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00531-0.00287 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00532-0.00264 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00533 ---TVD Violated after 14 steps t=0.074620 (2.434424e-05) L2 error at time of violation: 0.0703217 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005321-0.002617 (0.002704) Potential Increase in error ---TVD Preserved --Testing dt=0.005322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005322-0.002594 (0.002728) Potential Increase in error ---TVD Preserved --Testing dt=0.005323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005323-0.002571 (0.002752) Potential Increase in error ---TVD Preserved --Testing dt=0.005324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005324-0.002548 (0.002776) Potential Increase in error ---TVD Preserved --Testing dt=0.005325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005325-0.002525 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.005326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005326-0.002502 (0.002824) Potential Increase in error ---TVD Preserved --Testing dt=0.005327 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005327-0.002479 (0.002848) Potential Increase in error ---TVD Preserved --Testing dt=0.005328 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005328-0.002456 (0.002872) Potential Increase in error ---TVD Preserved --Testing dt=0.005329 ---TVD Violated after 14 steps t=0.074606 (9.918871e-06) L2 error at time of violation: 0.0703367 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005328 Theoretial Max dt=0.017350 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 12 steps t=0.120000 (-2.112155e-02) L2 error at time of violation: 0.115992 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 12 steps t=0.117600 (-3.598028e-05) L2 error at time of violation: 0.113973 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00971-0.00848 (0.00123) Potential Increase in error ---POS Preserved --Testing dt=0.00972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00972-0.00836 (0.00136) Potential Increase in error ---POS Preserved --Testing dt=0.00973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00973-0.00824 (0.00149) Potential Increase in error ---POS Preserved --Testing dt=0.00974 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00974-0.00812 (0.00162) Potential Increase in error ---POS Preserved --Testing dt=0.00975 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00975-0.008 (0.00175) Potential Increase in error ---POS Preserved --Testing dt=0.00976 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00976-0.00788 (0.00188) Potential Increase in error ---POS Preserved --Testing dt=0.00977 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00977-0.00776 (0.00201) Potential Increase in error ---POS Preserved --Testing dt=0.00978 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00978-0.00764 (0.00214) Potential Increase in error ---POS Preserved --Testing dt=0.00979 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00979-0.00752 (0.00227) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 12 steps t=0.117600 (-3.598028e-05) L2 error at time of violation: 0.113973 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009791-0.007508 (0.002283) Potential Increase in error ---POS Preserved --Testing dt=0.009792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009792-0.007496 (0.002296) Potential Increase in error ---POS Preserved --Testing dt=0.009793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009793-0.007484 (0.002309) Potential Increase in error ---POS Preserved --Testing dt=0.009794 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009794-0.007472 (0.002322) Potential Increase in error ---POS Preserved --Testing dt=0.009795 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009795-0.00746 (0.002335) Potential Increase in error ---POS Preserved --Testing dt=0.009796 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009796-0.007448 (0.002348) Potential Increase in error ---POS Preserved --Testing dt=0.009797 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009797-0.007436 (0.002361) Potential Increase in error ---POS Preserved --Testing dt=0.009798 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009798-0.007424 (0.002374) Potential Increase in error ---POS Preserved --Testing dt=0.009799 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009799-0.007412 (0.002387) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 12 steps t=0.117600 (-3.598028e-05) L2 error at time of violation: 0.113973 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009799 Theoretial Max dt=0.017350 results_pos = max_dt: 0.0098 s: 3 k: 8 p: [] dx: 0.0100 r: 1.7350 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 ---TVD Violated after 5 steps t=0.095000 (5.319888e-03) L2 error at time of violation: 0.0985312 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---TVD Preserved --Testing dt=0.0186 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0186-0.0134 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0187 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0187-0.0128 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0188 ---TVD Violated after 5 steps t=0.094000 (2.228918e-03) L2 error at time of violation: 0.0991346 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01871-0.01274 (0.00597) Potential Increase in error ---TVD Preserved --Testing dt=0.01872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01872-0.01268 (0.00604) Potential Increase in error ---TVD Preserved --Testing dt=0.01873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01873-0.01262 (0.00611) Potential Increase in error ---TVD Preserved --Testing dt=0.01874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01874-0.01256 (0.00618) Potential Increase in error ---TVD Preserved --Testing dt=0.01875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01875-0.0125 (0.00625) Potential Increase in error ---TVD Preserved --Testing dt=0.01876 ---TVD Violated after 5 steps t=0.093800 (1.003586e-04) L2 error at time of violation: 0.0992506 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018751-0.012494 (0.006257) Potential Increase in error ---TVD Preserved --Testing dt=0.018752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018752-0.012488 (0.006264) Potential Increase in error ---TVD Preserved --Testing dt=0.018753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018753-0.012482 (0.006271) Potential Increase in error ---TVD Preserved --Testing dt=0.018754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018754-0.012476 (0.006278) Potential Increase in error ---TVD Preserved --Testing dt=0.018755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018755-0.01247 (0.006285) Potential Increase in error ---TVD Preserved --Testing dt=0.018756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018756-0.012464 (0.006292) Potential Increase in error ---TVD Preserved --Testing dt=0.018757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018757-0.012458 (0.006299) Potential Increase in error ---TVD Preserved --Testing dt=0.018758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018758-0.012452 (0.006306) Potential Increase in error ---TVD Preserved --Testing dt=0.018759 ---TVD Violated after 5 steps t=0.093795 (4.832854e-05) L2 error at time of violation: 0.0992535 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018758 Theoretial Max dt=0.068274 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---POS Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.04 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.04-0.005 (0.035) Potential Increase in error ---POS Preserved --Testing dt=0.041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.041-0.002 (0.039) Potential Increase in error ---POS Preserved --Testing dt=0.042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.042-0.041 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.043 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 6 steps t=0.258000 (-3.749886e-02) L2 error at time of violation: 0.163802 Refining dt search increment 0.001->0.0001 --Testing dt=0.0421 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 6 steps t=0.252600 (-9.618293e-02) L2 error at time of violation: 0.162213 Refining dt search increment 0.0001->1e-05 --Testing dt=0.04201 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 6 steps t=0.252060 (-1.003809e-01) L2 error at time of violation: 0.162554 Refining dt search increment 1e-05->1e-06 --Testing dt=0.042001 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 6 steps t=0.252006 (-1.027729e-01) L2 error at time of violation: 0.162715 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.042000 Theoretial Max dt=0.068274 results_pos = max_dt: 0.0420 s: 10 k: 4 p: [] dx: 0.0100 r: 6.8274 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 5 steps t=0.035000 (3.897634e-05) L2 error at time of violation: 0.019558 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0068-0.0026 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0069 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0069-0.0008 (0.0061) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 5 steps t=0.035000 (3.897634e-05) L2 error at time of violation: 0.019558 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00691 ---TVD Violated after 7 steps t=0.048370 (4.025182e-08) L2 error at time of violation: 0.0167953 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006901-0.000782 (0.006119) Potential Increase in error ---TVD Preserved --Testing dt=0.006902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006902-0.000764 (0.006138) Potential Increase in error ---TVD Preserved --Testing dt=0.006903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006903-0.000746 (0.006157) Potential Increase in error ---TVD Preserved --Testing dt=0.006904 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006904-0.000728 (0.006176) Potential Increase in error ---TVD Preserved --Testing dt=0.006905 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006905-0.00071 (0.006195) Potential Increase in error ---TVD Preserved --Testing dt=0.006906 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006906-0.000692 (0.006214) Potential Increase in error ---TVD Preserved --Testing dt=0.006907 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006907-0.000674 (0.006233) Potential Increase in error ---TVD Preserved --Testing dt=0.006908 ---TVD Violated after 8 steps t=0.055264 (2.297617e-09) L2 error at time of violation: 0.016935 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006907 Theoretial Max dt=0.005957 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 5 steps t=0.075000 (-7.876112e-03) L2 error at time of violation: 0.0474858 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.0148 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0148-0.0066 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0149 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0149-0.0058 (0.0091) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 5 steps t=0.075000 (-7.876112e-03) L2 error at time of violation: 0.0474858 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01491-0.00572 (0.00919) Potential Increase in error ---POS Preserved --Testing dt=0.01492 ---POS Violated after 5 steps t=0.074600 (-1.279118e-04) L2 error at time of violation: 0.0459727 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014911-0.005712 (0.009199) Potential Increase in error ---POS Preserved --Testing dt=0.014912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014912-0.005704 (0.009208) Potential Increase in error ---POS Preserved --Testing dt=0.014913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014913-0.005696 (0.009217) Potential Increase in error ---POS Preserved --Testing dt=0.014914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014914-0.005688 (0.009226) Potential Increase in error ---POS Preserved --Testing dt=0.014915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014915-0.00568 (0.009235) Potential Increase in error ---POS Preserved --Testing dt=0.014916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014916-0.005672 (0.009244) Potential Increase in error ---POS Preserved --Testing dt=0.014917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014917-0.005664 (0.009253) Potential Increase in error ---POS Preserved --Testing dt=0.014918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014918-0.005656 (0.009262) Potential Increase in error ---POS Preserved --Testing dt=0.014919 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014919-0.005648 (0.009271) Potential Increase in error ---POS Preserved --Testing dt=0.01492 ---POS Violated after 5 steps t=0.074600 (-1.279118e-04) L2 error at time of violation: 0.0459727 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014919 Theoretial Max dt=0.005957 results_pos = max_dt: 0.0149 s: 6 k: 2 p: [] dx: 0.0100 r: 0.5957 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 6 steps t=0.072000 (2.118746e-03) L2 error at time of violation: 0.0361124 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 6 steps t=0.072000 (2.118746e-03) L2 error at time of violation: 0.0361124 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01191-0.0059 (0.00601) Potential Increase in error ---TVD Preserved --Testing dt=0.01192 ---TVD Violated after 6 steps t=0.071520 (1.299049e-04) L2 error at time of violation: 0.0366341 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011911-0.00589 (0.006021) Potential Increase in error ---TVD Preserved --Testing dt=0.011912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011912-0.00588 (0.006032) Potential Increase in error ---TVD Preserved --Testing dt=0.011913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011913-0.00587 (0.006043) Potential Increase in error ---TVD Preserved --Testing dt=0.011914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011914-0.00586 (0.006054) Potential Increase in error ---TVD Preserved --Testing dt=0.011915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011915-0.00585 (0.006065) Potential Increase in error ---TVD Preserved --Testing dt=0.011916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011916-0.00584 (0.006076) Potential Increase in error ---TVD Preserved --Testing dt=0.011917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011917-0.00583 (0.006087) Potential Increase in error ---TVD Preserved --Testing dt=0.011918 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011918-0.00582 (0.006098) Potential Increase in error ---TVD Preserved --Testing dt=0.011919 ---TVD Violated after 6 steps t=0.071514 (5.924233e-05) L2 error at time of violation: 0.0366418 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011918 Theoretial Max dt=0.037487 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 ---POS Violated after 4 steps t=0.092000 (-2.177390e-02) L2 error at time of violation: 0.0888751 Refining dt search increment 0.001->0.0001 --Testing dt=0.0221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0221-0.0145 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0222-0.014 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0223-0.0135 (0.0088) Potential Increase in error ---POS Preserved --Testing dt=0.0224 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0224-0.013 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0225 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0225-0.0125 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0226 ---POS Violated after 4 steps t=0.090400 (-7.147670e-04) L2 error at time of violation: 0.0900153 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02251-0.01245 (0.01006) Potential Increase in error ---POS Preserved --Testing dt=0.02252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02252-0.0124 (0.01012) Potential Increase in error ---POS Preserved --Testing dt=0.02253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02253-0.01235 (0.01018) Potential Increase in error ---POS Preserved --Testing dt=0.02254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02254-0.0123 (0.01024) Potential Increase in error ---POS Preserved --Testing dt=0.02255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02255-0.01225 (0.0103) Potential Increase in error ---POS Preserved --Testing dt=0.02256 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02256-0.0122 (0.01036) Potential Increase in error ---POS Preserved --Testing dt=0.02257 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02257-0.01215 (0.01042) Potential Increase in error ---POS Preserved --Testing dt=0.02258 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02258-0.0121 (0.01048) Potential Increase in error ---POS Preserved --Testing dt=0.02259 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02259-0.01205 (0.01054) Potential Increase in error ---POS Preserved --Testing dt=0.0226 ---POS Violated after 4 steps t=0.090400 (-7.147670e-04) L2 error at time of violation: 0.0900153 Refining dt search increment 1e-05->1e-06 --Testing dt=0.022591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022591-0.012045 (0.010546) Potential Increase in error ---POS Preserved --Testing dt=0.022592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022592-0.01204 (0.010552) Potential Increase in error ---POS Preserved --Testing dt=0.022593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022593-0.012035 (0.010558) Potential Increase in error ---POS Preserved --Testing dt=0.022594 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022594-0.01203 (0.010564) Potential Increase in error ---POS Preserved --Testing dt=0.022595 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022595-0.012025 (0.01057) Potential Increase in error ---POS Preserved --Testing dt=0.022596 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022596-0.01202 (0.010576) Potential Increase in error ---POS Preserved --Testing dt=0.022597 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022597-0.012015 (0.010582) Potential Increase in error ---POS Preserved --Testing dt=0.022598 ---POS Violated after 4 steps t=0.090392 (-2.558344e-04) L2 error at time of violation: 0.0900491 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.022597 Theoretial Max dt=0.037487 results_pos = max_dt: 0.0226 s: 7 k: 3 p: [] dx: 0.0100 r: 3.7487 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 3 steps t=0.036000 (3.541013e-03) L2 error at time of violation: 0.0362669 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 ---TVD Violated after 3 steps t=0.034200 (8.271801e-05) L2 error at time of violation: 0.0386554 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01131-0.00059 (0.01072) Potential Increase in error ---TVD Preserved --Testing dt=0.01132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01132-0.00048 (0.01084) Potential Increase in error ---TVD Preserved --Testing dt=0.01133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01133-0.00037 (0.01096) Potential Increase in error ---TVD Preserved --Testing dt=0.01134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01134-0.00026 (0.01108) Potential Increase in error ---TVD Preserved --Testing dt=0.01135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01135-0.00015 (0.0112) Potential Increase in error ---TVD Preserved --Testing dt=0.01136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01136-4e-05 (0.01132) Potential Increase in error ---TVD Preserved --Testing dt=0.01137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01137-0.0113 (7e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.01138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01138-0.0112 (0.00018) Potential Increase in error ---TVD Preserved --Testing dt=0.01139 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01139-0.0111 (0.00029) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 ---TVD Violated after 3 steps t=0.034200 (8.271801e-05) L2 error at time of violation: 0.0386554 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011391-0.01109 (0.000301) Potential Increase in error ---TVD Preserved --Testing dt=0.011392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011392-0.01108 (0.000312) Potential Increase in error ---TVD Preserved --Testing dt=0.011393 ---TVD Violated after 3 steps t=0.034179 (1.308648e-06) L2 error at time of violation: 0.0386464 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011392 Theoretial Max dt=0.025826 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 6 steps t=0.120000 (-1.225174e-02) L2 error at time of violation: 0.0563498 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 ---POS Violated after 6 steps t=0.117600 (-2.384113e-03) L2 error at time of violation: 0.0467126 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01951-0.00794 (0.01157) Potential Increase in error ---POS Preserved --Testing dt=0.01952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01952-0.00788 (0.01164) Potential Increase in error ---POS Preserved --Testing dt=0.01953 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01953-0.00782 (0.01171) Potential Increase in error ---POS Preserved --Testing dt=0.01954 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01954-0.00776 (0.01178) Potential Increase in error ---POS Preserved --Testing dt=0.01955 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01955-0.0077 (0.01185) Potential Increase in error ---POS Preserved --Testing dt=0.01956 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01956-0.00764 (0.01192) Potential Increase in error ---POS Preserved --Testing dt=0.01957 ---POS Violated after 6 steps t=0.117420 (-4.619922e-04) L2 error at time of violation: 0.0462367 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019561-0.007634 (0.011927) Potential Increase in error ---POS Preserved --Testing dt=0.019562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019562-0.007628 (0.011934) Potential Increase in error ---POS Preserved --Testing dt=0.019563 ---POS Violated after 6 steps t=0.117378 (-7.341573e-06) L2 error at time of violation: 0.0461301 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019562 Theoretial Max dt=0.025826 results_pos = max_dt: 0.0196 s: 9 k: 2 p: [] dx: 0.0100 r: 2.5826 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 30 steps t=0.090000 (1.636247e-11) L2 error at time of violation: 0.0157007 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0025 ---TVD Preserved --Testing dt=0.0026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0026-0.0002 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0027-0.0008 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0028-0.0018 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0029-0.0003 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 30 steps t=0.090000 (1.636291e-11) L2 error at time of violation: 0.0157007 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00291-0.00278 (0.00013) Potential Increase in error ---TVD Preserved --Testing dt=0.00292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00292-0.00236 (0.00056) Potential Increase in error ---TVD Preserved --Testing dt=0.00293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00293-0.00194 (0.00099) Potential Increase in error ---TVD Preserved --Testing dt=0.00294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00294-0.00152 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00295-0.0011 (0.00185) Potential Increase in error ---TVD Preserved --Testing dt=0.00296 ---TVD Violated after 30 steps t=0.088800 (1.705303e-12) L2 error at time of violation: 0.0176965 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002951 ---TVD Violated after 32 steps t=0.094432 (1.014744e-13) L2 error at time of violation: 0.0227692 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002950 Theoretial Max dt=0.003820 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 7 steps t=0.035000 (-1.240501e-02) L2 error at time of violation: 0.0565238 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0049 ---POS Violated after 7 steps t=0.034300 (-4.095777e-03) L2 error at time of violation: 0.0581796 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00481-0.00475 (6e-05) Potential Increase in error ---POS Preserved --Testing dt=0.00482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00482-0.0045 (0.00032) Potential Increase in error ---POS Preserved --Testing dt=0.00483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00483-0.00425 (0.00058) Potential Increase in error ---POS Preserved --Testing dt=0.00484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00484-0.004 (0.00084) Potential Increase in error ---POS Preserved --Testing dt=0.00485 ---POS Violated after 7 steps t=0.033950 (-2.216201e-04) L2 error at time of violation: 0.0579751 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004841 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004841-0.003975 (0.000866) Potential Increase in error ---POS Preserved --Testing dt=0.004842 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004842-0.00395 (0.000892) Potential Increase in error ---POS Preserved --Testing dt=0.004843 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004843-0.003925 (0.000918) Potential Increase in error ---POS Preserved --Testing dt=0.004844 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004844-0.0039 (0.000944) Potential Increase in error ---POS Preserved --Testing dt=0.004845 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004845-0.003875 (0.00097) Potential Increase in error ---POS Preserved --Testing dt=0.004846 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004846-0.00385 (0.000996) Potential Increase in error ---POS Preserved --Testing dt=0.004847 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004847-0.003825 (0.001022) Potential Increase in error ---POS Preserved --Testing dt=0.004848 ---POS Violated after 7 steps t=0.033936 (-7.040219e-05) L2 error at time of violation: 0.0579675 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004847 Theoretial Max dt=0.003820 results_pos = max_dt: 0.0048 s: 3 k: 5 p: [] dx: 0.0100 r: 0.3820 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 ---TVD Violated after 3 steps t=0.048000 (2.755470e-04) L2 error at time of violation: 0.0824716 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---TVD Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---TVD Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---TVD Preserved --Testing dt=0.0154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0154-0.0018 (0.0136) Potential Increase in error ---TVD Preserved --Testing dt=0.0155 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0155-0.001 (0.0145) Potential Increase in error ---TVD Preserved --Testing dt=0.0156 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0156-0.0002 (0.0154) Potential Increase in error ---TVD Preserved --Testing dt=0.0157 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0157-0.0151 (0.0006) Potential Increase in error ---TVD Preserved --Testing dt=0.0158 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0158-0.0144 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0159 ---TVD Violated after 3 steps t=0.047700 (5.537463e-05) L2 error at time of violation: 0.0823659 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01581-0.01433 (0.00148) Potential Increase in error ---TVD Preserved --Testing dt=0.01582 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01582-0.01426 (0.00156) Potential Increase in error ---TVD Preserved --Testing dt=0.01583 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01583-0.01419 (0.00164) Potential Increase in error ---TVD Preserved --Testing dt=0.01584 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01584-0.01412 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.01585 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01585-0.01405 (0.0018) Potential Increase in error ---TVD Preserved --Testing dt=0.01586 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01586-0.01398 (0.00188) Potential Increase in error ---TVD Preserved --Testing dt=0.01587 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01587-0.01391 (0.00196) Potential Increase in error ---TVD Preserved --Testing dt=0.01588 ---TVD Violated after 3 steps t=0.047640 (8.952725e-06) L2 error at time of violation: 0.082345 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015871-0.013903 (0.001968) Potential Increase in error ---TVD Preserved --Testing dt=0.015872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015872-0.013896 (0.001976) Potential Increase in error ---TVD Preserved --Testing dt=0.015873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015873-0.013889 (0.001984) Potential Increase in error ---TVD Preserved --Testing dt=0.015874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015874-0.013882 (0.001992) Potential Increase in error ---TVD Preserved --Testing dt=0.015875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015875-0.013875 (0.002) Potential Increase in error ---TVD Preserved --Testing dt=0.015876 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015876-0.013868 (0.002008) Potential Increase in error ---TVD Preserved --Testing dt=0.015877 ---TVD Violated after 3 steps t=0.047631 (1.919957e-06) L2 error at time of violation: 0.0823419 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015876 Theoretial Max dt=0.061415 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---POS Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.04 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.04-0.005 (0.035) Potential Increase in error ---POS Preserved --Testing dt=0.041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.041-0.002 (0.039) Potential Increase in error ---POS Preserved --Testing dt=0.042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.042-0.041 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.043-0.039 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.044-0.037 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.045-0.035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.046-0.033 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.047-0.031 (0.016) Potential Increase in error ---POS Preserved --Testing dt=0.048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.048-0.029 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.049 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.049-0.027 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.05 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.05-0.025 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.051-0.023 (0.028) Potential Increase in error ---POS Preserved --Testing dt=0.052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.052-0.021 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.053-0.019 (0.034) Potential Increase in error ---POS Preserved --Testing dt=0.054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.054-0.017 (0.037) Potential Increase in error ---POS Preserved --Testing dt=0.055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.055-0.015 (0.04) Potential Increase in error ---POS Preserved --Testing dt=0.056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.056-0.013 (0.043) Potential Increase in error ---POS Preserved --Testing dt=0.057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.057-0.011 (0.046) Potential Increase in error ---POS Preserved --Testing dt=0.058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.058-0.009 (0.049) Potential Increase in error ---POS Preserved --Testing dt=0.059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.059-0.007 (0.052) Potential Increase in error ---POS Preserved --Testing dt=0.06 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.06-0.005 (0.055) Potential Increase in error ---POS Preserved --Testing dt=0.061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.061-0.003 (0.058) Potential Increase in error ---POS Preserved --Testing dt=0.062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.062-0.001 (0.061) Potential Increase in error ---POS Preserved --Testing dt=0.063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.063-0.062 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.064 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.192000 (-1.783952e+00) L2 error at time of violation: 0.311075 Refining dt search increment 0.001->0.0001 --Testing dt=0.0631 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.189300 (-1.619844e+00) L2 error at time of violation: 0.294966 Refining dt search increment 0.0001->1e-05 --Testing dt=0.06301 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.189030 (-1.602737e+00) L2 error at time of violation: 0.293086 Refining dt search increment 1e-05->1e-06 --Testing dt=0.063001 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.189003 (-1.601019e+00) L2 error at time of violation: 0.292897 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.063000 Theoretial Max dt=0.061415 results_pos = max_dt: 0.0630 s: 10 k: 3 p: [] dx: 0.0100 r: 6.1415 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 3 steps t=0.018000 (2.718601e-04) L2 error at time of violation: 0.0512407 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 ---TVD Violated after 3 steps t=0.015900 (4.174001e-06) L2 error at time of violation: 0.0537431 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00521 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00521-0.00517 (4e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00522 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00522-0.00494 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00523 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00523-0.00471 (0.00052) Potential Increase in error ---TVD Preserved --Testing dt=0.00524 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00524-0.00448 (0.00076) Potential Increase in error ---TVD Preserved --Testing dt=0.00525 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00525-0.00425 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00526 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00526-0.00402 (0.00124) Potential Increase in error ---TVD Preserved --Testing dt=0.00527 ---TVD Violated after 3 steps t=0.015810 (5.722469e-07) L2 error at time of violation: 0.0538508 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005261-0.003997 (0.001264) Potential Increase in error ---TVD Preserved --Testing dt=0.005262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005262-0.003974 (0.001288) Potential Increase in error ---TVD Preserved --Testing dt=0.005263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005263-0.003951 (0.001312) Potential Increase in error ---TVD Preserved --Testing dt=0.005264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005264-0.003928 (0.001336) Potential Increase in error ---TVD Preserved --Testing dt=0.005265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005265-0.003905 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.005266 ---TVD Violated after 3 steps t=0.015798 (8.769215e-08) L2 error at time of violation: 0.0538653 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005265 Theoretial Max dt=0.006568 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s3k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 6 steps t=0.084000 (-4.449827e-03) L2 error at time of violation: 0.0643836 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 ---POS Violated after 7 steps t=0.093800 (-1.023798e-03) L2 error at time of violation: 0.0562228 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01331-0.00521 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.01332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01332-0.00512 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.01333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01333-0.00503 (0.0083) Potential Increase in error ---POS Preserved --Testing dt=0.01334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01334-0.00494 (0.0084) Potential Increase in error ---POS Preserved --Testing dt=0.01335 ---POS Violated after 7 steps t=0.093450 (-1.098585e-04) L2 error at time of violation: 0.0548774 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013341 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013341-0.004931 (0.00841) Potential Increase in error ---POS Preserved --Testing dt=0.013342 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013342-0.004922 (0.00842) Potential Increase in error ---POS Preserved --Testing dt=0.013343 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013343-0.004913 (0.00843) Potential Increase in error ---POS Preserved --Testing dt=0.013344 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013344-0.004904 (0.00844) Potential Increase in error ---POS Preserved --Testing dt=0.013345 ---POS Violated after 7 steps t=0.093415 (-1.377389e-05) L2 error at time of violation: 0.0547989 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013344 Theoretial Max dt=0.006568 results_pos = max_dt: 0.0133 s: 11 k: 3 p: [] dx: 0.0100 r: 0.6568 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 8 steps t=0.040000 (7.468738e-04) L2 error at time of violation: 0.0465951 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 ---TVD Violated after 8 steps t=0.037600 (2.961437e-04) L2 error at time of violation: 0.0491558 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00461-0.00053 (0.00408) Potential Increase in error ---TVD Preserved --Testing dt=0.00462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00462-0.00026 (0.00436) Potential Increase in error ---TVD Preserved --Testing dt=0.00463 ---TVD Violated after 8 steps t=0.037040 (2.728690e-05) L2 error at time of violation: 0.0499015 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004621-0.000233 (0.004388) Potential Increase in error ---TVD Preserved --Testing dt=0.004622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004622-0.000206 (0.004416) Potential Increase in error ---TVD Preserved --Testing dt=0.004623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004623-0.000179 (0.004444) Potential Increase in error ---TVD Preserved --Testing dt=0.004624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004624-0.000152 (0.004472) Potential Increase in error ---TVD Preserved --Testing dt=0.004625 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004625-0.000125 (0.0045) Potential Increase in error ---TVD Preserved --Testing dt=0.004626 ---TVD Violated after 8 steps t=0.037008 (4.291935e-06) L2 error at time of violation: 0.0499453 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004625 Theoretial Max dt=0.014069 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 7 steps t=0.077000 (-1.101160e-03) L2 error at time of violation: 0.0925199 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---POS Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0107 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0107-0.0073 (0.0034) Potential Increase in error ---POS Preserved --Testing dt=0.0108 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0108-0.0062 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0109 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0109-0.0051 (0.0058) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 7 steps t=0.077000 (-1.101160e-03) L2 error at time of violation: 0.0925199 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01091-0.00499 (0.00592) Potential Increase in error ---POS Preserved --Testing dt=0.01092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01092-0.00488 (0.00604) Potential Increase in error ---POS Preserved --Testing dt=0.01093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01093-0.00477 (0.00616) Potential Increase in error ---POS Preserved --Testing dt=0.01094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01094-0.00466 (0.00628) Potential Increase in error ---POS Preserved --Testing dt=0.01095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01095-0.00455 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.01096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01096-0.00444 (0.00652) Potential Increase in error ---POS Preserved --Testing dt=0.01097 ---POS Violated after 7 steps t=0.076790 (-1.413170e-04) L2 error at time of violation: 0.0923996 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010961 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010961-0.004429 (0.006532) Potential Increase in error ---POS Preserved --Testing dt=0.010962 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010962-0.004418 (0.006544) Potential Increase in error ---POS Preserved --Testing dt=0.010963 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010963-0.004407 (0.006556) Potential Increase in error ---POS Preserved --Testing dt=0.010964 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010964-0.004396 (0.006568) Potential Increase in error ---POS Preserved --Testing dt=0.010965 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010965-0.004385 (0.00658) Potential Increase in error ---POS Preserved --Testing dt=0.010966 ---POS Violated after 7 steps t=0.076762 (-1.641179e-05) L2 error at time of violation: 0.0923827 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010965 Theoretial Max dt=0.014069 results_pos = max_dt: 0.0110 s: 5 k: 5 p: [] dx: 0.0100 r: 1.4069 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 5 steps t=0.060000 (3.261223e-02) L2 error at time of violation: 0.0806673 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 ---TVD Violated after 5 steps t=0.056500 (3.047331e-03) L2 error at time of violation: 0.0751577 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01121 ---TVD Violated after 5 steps t=0.056050 (1.365412e-04) L2 error at time of violation: 0.0751546 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011201-0.001789 (0.009412) Potential Increase in error ---TVD Preserved --Testing dt=0.011202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011202-0.001778 (0.009424) Potential Increase in error ---TVD Preserved --Testing dt=0.011203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011203-0.001767 (0.009436) Potential Increase in error ---TVD Preserved --Testing dt=0.011204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011204-0.001756 (0.009448) Potential Increase in error ---TVD Preserved --Testing dt=0.011205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011205-0.001745 (0.00946) Potential Increase in error ---TVD Preserved --Testing dt=0.011206 ---TVD Violated after 5 steps t=0.056030 (7.578565e-06) L2 error at time of violation: 0.0751547 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011205 Theoretial Max dt=0.030855 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 ---POS Violated after 5 steps t=0.105000 (-5.673426e-02) L2 error at time of violation: 0.114525 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 ---POS Violated after 6 steps t=0.120600 (-6.296935e-03) L2 error at time of violation: 0.11399 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02001-0.00494 (0.01507) Potential Increase in error ---POS Preserved --Testing dt=0.02002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02002-0.00488 (0.01514) Potential Increase in error ---POS Preserved --Testing dt=0.02003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02003-0.00482 (0.01521) Potential Increase in error ---POS Preserved --Testing dt=0.02004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02004-0.00476 (0.01528) Potential Increase in error ---POS Preserved --Testing dt=0.02005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02005-0.0047 (0.01535) Potential Increase in error ---POS Preserved --Testing dt=0.02006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02006-0.00464 (0.01542) Potential Increase in error ---POS Preserved --Testing dt=0.02007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02007-0.00458 (0.01549) Potential Increase in error ---POS Preserved --Testing dt=0.02008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02008-0.00452 (0.01556) Potential Increase in error ---POS Preserved --Testing dt=0.02009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02009-0.00446 (0.01563) Potential Increase in error ---POS Preserved --Testing dt=0.0201 ---POS Violated after 6 steps t=0.120600 (-6.296935e-03) L2 error at time of violation: 0.11399 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020091-0.004454 (0.015637) Potential Increase in error ---POS Preserved --Testing dt=0.020092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020092-0.004448 (0.015644) Potential Increase in error ---POS Preserved --Testing dt=0.020093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020093-0.004442 (0.015651) Potential Increase in error ---POS Preserved --Testing dt=0.020094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020094-0.004436 (0.015658) Potential Increase in error ---POS Preserved --Testing dt=0.020095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020095-0.00443 (0.015665) Potential Increase in error ---POS Preserved --Testing dt=0.020096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020096-0.004424 (0.015672) Potential Increase in error ---POS Preserved --Testing dt=0.020097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020097-0.004418 (0.015679) Potential Increase in error ---POS Preserved --Testing dt=0.020098 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020098-0.004412 (0.015686) Potential Increase in error ---POS Preserved --Testing dt=0.020099 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020099-0.004406 (0.015693) Potential Increase in error ---POS Preserved --Testing dt=0.0201 ---POS Violated after 6 steps t=0.120600 (-6.296935e-03) L2 error at time of violation: 0.11399 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020099 Theoretial Max dt=0.030855 results_pos = max_dt: 0.0201 s: 6 k: 4 p: [] dx: 0.0100 r: 3.0855 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 7 steps t=0.070000 (1.476366e-04) L2 error at time of violation: 0.0799252 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 ---TVD Violated after 7 steps t=0.065800 (2.531587e-05) L2 error at time of violation: 0.0756135 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00931 ---TVD Violated after 7 steps t=0.065170 (2.066846e-06) L2 error at time of violation: 0.0756425 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009301 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009301-0.004087 (0.005214) Potential Increase in error ---TVD Preserved --Testing dt=0.009302 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009302-0.004074 (0.005228) Potential Increase in error ---TVD Preserved --Testing dt=0.009303 ---TVD Violated after 7 steps t=0.065121 (2.135277e-07) L2 error at time of violation: 0.0756458 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009302 Theoretial Max dt=0.029833 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 ---POS Violated after 5 steps t=0.105000 (-1.333697e-02) L2 error at time of violation: 0.13454 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0201-0.0044 (0.0157) Potential Increase in error ---POS Preserved --Testing dt=0.0202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0202-0.0038 (0.0164) Potential Increase in error ---POS Preserved --Testing dt=0.0203 ---POS Violated after 6 steps t=0.121800 (-3.228188e-06) L2 error at time of violation: 0.130708 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02021-0.00374 (0.01647) Potential Increase in error ---POS Preserved --Testing dt=0.02022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02022-0.00368 (0.01654) Potential Increase in error ---POS Preserved --Testing dt=0.02023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02023-0.00362 (0.01661) Potential Increase in error ---POS Preserved --Testing dt=0.02024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02024-0.00356 (0.01668) Potential Increase in error ---POS Preserved --Testing dt=0.02025 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02025-0.0035 (0.01675) Potential Increase in error ---POS Preserved --Testing dt=0.02026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02026-0.00344 (0.01682) Potential Increase in error ---POS Preserved --Testing dt=0.02027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02027-0.00338 (0.01689) Potential Increase in error ---POS Preserved --Testing dt=0.02028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02028-0.00332 (0.01696) Potential Increase in error ---POS Preserved --Testing dt=0.02029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02029-0.00326 (0.01703) Potential Increase in error ---POS Preserved --Testing dt=0.0203 ---POS Violated after 6 steps t=0.121800 (-3.228188e-06) L2 error at time of violation: 0.130708 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020291-0.003254 (0.017037) Potential Increase in error ---POS Preserved --Testing dt=0.020292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020292-0.003248 (0.017044) Potential Increase in error ---POS Preserved --Testing dt=0.020293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020293-0.003242 (0.017051) Potential Increase in error ---POS Preserved --Testing dt=0.020294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020294-0.003236 (0.017058) Potential Increase in error ---POS Preserved --Testing dt=0.020295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020295-0.00323 (0.017065) Potential Increase in error ---POS Preserved --Testing dt=0.020296 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020296-0.003224 (0.017072) Potential Increase in error ---POS Preserved --Testing dt=0.020297 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020297-0.003218 (0.017079) Potential Increase in error ---POS Preserved --Testing dt=0.020298 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020298-0.003212 (0.017086) Potential Increase in error ---POS Preserved --Testing dt=0.020299 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020299-0.003206 (0.017093) Potential Increase in error ---POS Preserved --Testing dt=0.0203 ---POS Violated after 6 steps t=0.121800 (-3.228188e-06) L2 error at time of violation: 0.130708 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020299 Theoretial Max dt=0.029833 results_pos = max_dt: 0.0203 s: 7 k: 5 p: [] dx: 0.0100 r: 2.9833 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 7 steps t=0.014000 (1.883424e-01) L2 error at time of violation: 0.0354435 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 ---TVD Violated after 29 steps t=0.031900 (2.411880e-03) L2 error at time of violation: 0.016417 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00101 ---TVD Violated after 38 steps t=0.038380 (4.845660e-07) L2 error at time of violation: 0.0155213 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001001 ---TVD Violated after 42 steps t=0.042042 (6.843156e-07) L2 error at time of violation: 0.0149573 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001000 Theoretial Max dt=0.001834 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---POS Violated after 15 steps t=0.030000 (-1.227578e-02) L2 error at time of violation: 0.0392111 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0014 ---POS Violated after 57 steps t=0.079800 (-3.303519e-04) L2 error at time of violation: 0.0375765 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00131-0.00055 (0.00076) Potential Increase in error ---POS Preserved --Testing dt=0.00132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00132-0.00092 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.00133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00133-0.00131 (2e-05) Potential Increase in error ---POS Preserved --Testing dt=0.00134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00134-0.00038 (0.00096) Potential Increase in error ---POS Preserved --Testing dt=0.00135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00135-0.0008 (0.00055) Potential Increase in error ---POS Preserved --Testing dt=0.00136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00136-0.00124 (0.00012) Potential Increase in error ---POS Preserved --Testing dt=0.00137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00137-0.00033 (0.00104) Potential Increase in error ---POS Preserved --Testing dt=0.00138 ---POS Violated after 63 steps t=0.086940 (-2.311728e-03) L2 error at time of violation: 0.0359636 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001371-0.000239 (0.001132) Potential Increase in error ---POS Preserved --Testing dt=0.001372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001372-0.000148 (0.001224) Potential Increase in error ---POS Preserved --Testing dt=0.001373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001373-5.7e-05 (0.001316) Potential Increase in error ---POS Preserved --Testing dt=0.001374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001374-0.00134 (3.4e-05) Potential Increase in error ---POS Preserved --Testing dt=0.001375 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001375-0.00125 (0.000125) Potential Increase in error ---POS Preserved --Testing dt=0.001376 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001376-0.00116 (0.000216) Potential Increase in error ---POS Preserved --Testing dt=0.001377 ---POS Violated after 63 steps t=0.086751 (-4.866391e-04) L2 error at time of violation: 0.0354551 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001376 Theoretial Max dt=0.001834 results_pos = max_dt: 0.0014 s: 4 k: 4 p: [] dx: 0.0100 r: 0.1834 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 5 steps t=0.025000 (1.015865e-04) L2 error at time of violation: 0.0360597 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 ---TVD Violated after 15 steps t=0.063000 (3.672486e-03) L2 error at time of violation: 0.0253313 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00411-0.0017 (0.00241) Potential Increase in error ---TVD Preserved --Testing dt=0.00412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00412-0.0014 (0.00272) Potential Increase in error ---TVD Preserved --Testing dt=0.00413 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00413-0.0011 (0.00303) Potential Increase in error ---TVD Preserved --Testing dt=0.00414 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00414-0.0008 (0.00334) Potential Increase in error ---TVD Preserved --Testing dt=0.00415 ---TVD Violated after 13 steps t=0.053950 (1.321339e-03) L2 error at time of violation: 0.0206962 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004141 ---TVD Violated after 15 steps t=0.062115 (5.413479e-04) L2 error at time of violation: 0.024205 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004140 Theoretial Max dt=0.016180 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k2pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 10 steps t=0.100000 (-7.112838e-02) L2 error at time of violation: 0.0490098 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 ---POS Violated after 7 steps t=0.063700 (-2.835459e-03) L2 error at time of violation: 0.0544908 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00901-0.00787 (0.00114) Potential Increase in error ---POS Preserved --Testing dt=0.00902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00902-0.00774 (0.00128) Potential Increase in error ---POS Preserved --Testing dt=0.00903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00903-0.00761 (0.00142) Potential Increase in error ---POS Preserved --Testing dt=0.00904 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00904-0.00748 (0.00156) Potential Increase in error ---POS Preserved --Testing dt=0.00905 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00905-0.00735 (0.0017) Potential Increase in error ---POS Preserved --Testing dt=0.00906 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00906-0.00722 (0.00184) Potential Increase in error ---POS Preserved --Testing dt=0.00907 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00907-0.00709 (0.00198) Potential Increase in error ---POS Preserved --Testing dt=0.00908 ---POS Violated after 7 steps t=0.063560 (-5.427623e-04) L2 error at time of violation: 0.0549987 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009071-0.007077 (0.001994) Potential Increase in error ---POS Preserved --Testing dt=0.009072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009072-0.007064 (0.002008) Potential Increase in error ---POS Preserved --Testing dt=0.009073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009073-0.007051 (0.002022) Potential Increase in error ---POS Preserved --Testing dt=0.009074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009074-0.007038 (0.002036) Potential Increase in error ---POS Preserved --Testing dt=0.009075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009075-0.007025 (0.00205) Potential Increase in error ---POS Preserved --Testing dt=0.009076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009076-0.007012 (0.002064) Potential Increase in error ---POS Preserved --Testing dt=0.009077 ---POS Violated after 7 steps t=0.063539 (-1.277910e-04) L2 error at time of violation: 0.0550805 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009076 Theoretial Max dt=0.016180 results_pos = max_dt: 0.0091 s: 2 k: 3 p: [] dx: 0.0100 r: 1.6180 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 8 steps t=0.032000 (8.079398e-03) L2 error at time of violation: 0.0492363 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0037-0.0029 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0038 ---TVD Violated after 8 steps t=0.030400 (1.285380e-03) L2 error at time of violation: 0.0499132 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00371-0.00257 (0.00114) Potential Increase in error ---TVD Preserved --Testing dt=0.00372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00372-0.00224 (0.00148) Potential Increase in error ---TVD Preserved --Testing dt=0.00373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00373-0.00191 (0.00182) Potential Increase in error ---TVD Preserved --Testing dt=0.00374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00374-0.00158 (0.00216) Potential Increase in error ---TVD Preserved --Testing dt=0.00375 ---TVD Violated after 14 steps t=0.052500 (4.203836e-07) L2 error at time of violation: 0.0278086 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003741-0.001547 (0.002194) Potential Increase in error ---TVD Preserved --Testing dt=0.003742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003742-0.001514 (0.002228) Potential Increase in error ---TVD Preserved --Testing dt=0.003743 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003743-0.001481 (0.002262) Potential Increase in error ---TVD Preserved --Testing dt=0.003744 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003744-0.001448 (0.002296) Potential Increase in error ---TVD Preserved --Testing dt=0.003745 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003745-0.001415 (0.00233) Potential Increase in error ---TVD Preserved --Testing dt=0.003746 ---TVD Violated after 14 steps t=0.052444 (8.853073e-09) L2 error at time of violation: 0.0279764 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003745 Theoretial Max dt=0.011279 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s6k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 ---POS Violated after 6 steps t=0.048000 (-1.204673e-02) L2 error at time of violation: 0.0765019 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0076 ---POS Violated after 6 steps t=0.045600 (-2.751258e-03) L2 error at time of violation: 0.069515 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00751 ---POS Violated after 6 steps t=0.045060 (-2.429864e-04) L2 error at time of violation: 0.0695492 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007501 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007501-0.004984 (0.002517) Potential Increase in error ---POS Preserved --Testing dt=0.007502 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007502-0.004968 (0.002534) Potential Increase in error ---POS Preserved --Testing dt=0.007503 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007503-0.004952 (0.002551) Potential Increase in error ---POS Preserved --Testing dt=0.007504 ---POS Violated after 6 steps t=0.045024 (-1.409952e-05) L2 error at time of violation: 0.069548 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007503 Theoretial Max dt=0.011279 results_pos = max_dt: 0.0075 s: 10 k: 6 p: [] dx: 0.0100 r: 1.1279 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 7 steps t=0.014000 (1.883424e-01) L2 error at time of violation: 0.0354435 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 ---TVD Violated after 29 steps t=0.031900 (2.411880e-03) L2 error at time of violation: 0.016417 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00101 ---TVD Violated after 38 steps t=0.038380 (4.845660e-07) L2 error at time of violation: 0.0155213 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001001 ---TVD Violated after 42 steps t=0.042042 (6.843156e-07) L2 error at time of violation: 0.0149573 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001000 Theoretial Max dt=0.001834 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---POS Violated after 15 steps t=0.030000 (-1.227578e-02) L2 error at time of violation: 0.0392111 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0014 ---POS Violated after 57 steps t=0.079800 (-3.303519e-04) L2 error at time of violation: 0.0375765 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00131-0.00055 (0.00076) Potential Increase in error ---POS Preserved --Testing dt=0.00132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00132-0.00092 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.00133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00133-0.00131 (2e-05) Potential Increase in error ---POS Preserved --Testing dt=0.00134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00134-0.00038 (0.00096) Potential Increase in error ---POS Preserved --Testing dt=0.00135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00135-0.0008 (0.00055) Potential Increase in error ---POS Preserved --Testing dt=0.00136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00136-0.00124 (0.00012) Potential Increase in error ---POS Preserved --Testing dt=0.00137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00137-0.00033 (0.00104) Potential Increase in error ---POS Preserved --Testing dt=0.00138 ---POS Violated after 63 steps t=0.086940 (-2.311728e-03) L2 error at time of violation: 0.0359636 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001371-0.000239 (0.001132) Potential Increase in error ---POS Preserved --Testing dt=0.001372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001372-0.000148 (0.001224) Potential Increase in error ---POS Preserved --Testing dt=0.001373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001373-5.7e-05 (0.001316) Potential Increase in error ---POS Preserved --Testing dt=0.001374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001374-0.00134 (3.4e-05) Potential Increase in error ---POS Preserved --Testing dt=0.001375 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001375-0.00125 (0.000125) Potential Increase in error ---POS Preserved --Testing dt=0.001376 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001376-0.00116 (0.000216) Potential Increase in error ---POS Preserved --Testing dt=0.001377 ---POS Violated after 63 steps t=0.086751 (-4.866391e-04) L2 error at time of violation: 0.0354551 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001376 Theoretial Max dt=0.001834 results_pos = max_dt: 0.0014 s: 4 k: 4 p: [] dx: 0.0100 r: 0.1834 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 4 steps t=0.060000 (3.588226e-03) L2 error at time of violation: 0.0689833 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0145 ---TVD Violated after 8 steps t=0.116000 (2.254552e-05) L2 error at time of violation: 0.0275838 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01441 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01441-0.00972 (0.00469) Potential Increase in error ---TVD Preserved --Testing dt=0.01442 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01442-0.00964 (0.00478) Potential Increase in error ---TVD Preserved --Testing dt=0.01443 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01443-0.00956 (0.00487) Potential Increase in error ---TVD Preserved --Testing dt=0.01444 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01444-0.00948 (0.00496) Potential Increase in error ---TVD Preserved --Testing dt=0.01445 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01445-0.0094 (0.00505) Potential Increase in error ---TVD Preserved --Testing dt=0.01446 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01446-0.00932 (0.00514) Potential Increase in error ---TVD Preserved --Testing dt=0.01447 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01447-0.00924 (0.00523) Potential Increase in error ---TVD Preserved --Testing dt=0.01448 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01448-0.00916 (0.00532) Potential Increase in error ---TVD Preserved --Testing dt=0.01449 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01449-0.00908 (0.00541) Potential Increase in error ---TVD Preserved --Testing dt=0.0145 ---TVD Violated after 8 steps t=0.116000 (2.254552e-05) L2 error at time of violation: 0.0275838 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014491-0.009072 (0.005419) Potential Increase in error ---TVD Preserved --Testing dt=0.014492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014492-0.009064 (0.005428) Potential Increase in error ---TVD Preserved --Testing dt=0.014493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014493-0.009056 (0.005437) Potential Increase in error ---TVD Preserved --Testing dt=0.014494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014494-0.009048 (0.005446) Potential Increase in error ---TVD Preserved --Testing dt=0.014495 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014495-0.00904 (0.005455) Potential Increase in error ---TVD Preserved --Testing dt=0.014496 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014496-0.009032 (0.005464) Potential Increase in error ---TVD Preserved --Testing dt=0.014497 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014497-0.009024 (0.005473) Potential Increase in error ---TVD Preserved --Testing dt=0.014498 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014498-0.009016 (0.005482) Potential Increase in error ---TVD Preserved --Testing dt=0.014499 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014499-0.009008 (0.005491) Potential Increase in error ---TVD Preserved --Testing dt=0.0145 ---TVD Violated after 8 steps t=0.116000 (2.254552e-05) L2 error at time of violation: 0.0275838 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014499 Theoretial Max dt=0.052227 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 3 steps t=0.075000 (-4.368785e-03) L2 error at time of violation: 0.101821 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 3 steps t=0.072900 (-7.776489e-04) L2 error at time of violation: 0.0958969 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 ---POS Violated after 3 steps t=0.072630 (-7.153180e-05) L2 error at time of violation: 0.0958169 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024201 ---POS Violated after 3 steps t=0.072603 (-9.474903e-07) L2 error at time of violation: 0.0958091 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024200 Theoretial Max dt=0.052227 results_pos = max_dt: 0.0242 s: 8 k: 3 p: [] dx: 0.0100 r: 5.2227 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 ---TVD Violated after 16 steps t=0.032000 (3.174468e-05) L2 error at time of violation: 0.0203539 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0011-0.0007 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0012-0.0002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0013-0.0002 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0014-0.0004 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0015-0.0005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0016-0.0002 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.0017 ---TVD Violated after 42 steps t=0.071400 (2.784806e-10) L2 error at time of violation: 0.0155304 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00161-0.00103 (0.00058) Potential Increase in error ---TVD Preserved --Testing dt=0.00162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00162-0.00026 (0.00136) Potential Increase in error ---TVD Preserved --Testing dt=0.00163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00163-0.00112 (0.00051) Potential Increase in error ---TVD Preserved --Testing dt=0.00164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00164-0.00036 (0.00128) Potential Increase in error ---TVD Preserved --Testing dt=0.00165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00165-0.00125 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.00166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00166-0.0005 (0.00116) Potential Increase in error ---TVD Preserved --Testing dt=0.00167 ---TVD Violated after 52 steps t=0.086840 (6.838974e-13) L2 error at time of violation: 0.0125276 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.001661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001661-0.000425 (0.001236) Potential Increase in error ---TVD Preserved --Testing dt=0.001662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.001662-0.00035 (0.001312) Potential Increase in error ---TVD Preserved --Testing dt=0.001663 ---TVD Violated after 57 steps t=0.094791 (1.070255e-13) L2 error at time of violation: 0.0164496 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.001662 Theoretial Max dt=0.004720 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 ---POS Violated after 5 steps t=0.020000 (-1.058335e-02) L2 error at time of violation: 0.0445199 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0037-0.0029 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0038-0.0034 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0039 ---POS Violated after 5 steps t=0.019500 (-9.140838e-04) L2 error at time of violation: 0.0437291 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00381-0.00308 (0.00073) Potential Increase in error ---POS Preserved --Testing dt=0.00382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00382-0.00276 (0.00106) Potential Increase in error ---POS Preserved --Testing dt=0.00383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00383-0.00244 (0.00139) Potential Increase in error ---POS Preserved --Testing dt=0.00384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00384-0.00212 (0.00172) Potential Increase in error ---POS Preserved --Testing dt=0.00385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00385-0.0018 (0.00205) Potential Increase in error ---POS Preserved --Testing dt=0.00386 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00386-0.00148 (0.00238) Potential Increase in error ---POS Preserved --Testing dt=0.00387 ---POS Violated after 6 steps t=0.023220 (-8.480886e-04) L2 error at time of violation: 0.0471549 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003861 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003861-0.001448 (0.002413) Potential Increase in error ---POS Preserved --Testing dt=0.003862 ---POS Violated after 6 steps t=0.023172 (-5.658137e-05) L2 error at time of violation: 0.0471526 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003861 Theoretial Max dt=0.004720 results_pos = max_dt: 0.0039 s: 2 k: 5 p: [] dx: 0.0100 r: 0.4720 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 6 steps t=0.090000 (3.588226e-03) L2 error at time of violation: 0.104942 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.0148 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0148-0.0066 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0149 ---TVD Violated after 6 steps t=0.089400 (1.674260e-03) L2 error at time of violation: 0.10499 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01481-0.00652 (0.00829) Potential Increase in error ---TVD Preserved --Testing dt=0.01482 ---TVD Violated after 6 steps t=0.088920 (1.106480e-04) L2 error at time of violation: 0.104982 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014811 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014811-0.006512 (0.008299) Potential Increase in error ---TVD Preserved --Testing dt=0.014812 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014812-0.006504 (0.008308) Potential Increase in error ---TVD Preserved --Testing dt=0.014813 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014813-0.006496 (0.008317) Potential Increase in error ---TVD Preserved --Testing dt=0.014814 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014814-0.006488 (0.008326) Potential Increase in error ---TVD Preserved --Testing dt=0.014815 ---TVD Violated after 6 steps t=0.088890 (1.190892e-05) L2 error at time of violation: 0.104981 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014814 Theoretial Max dt=0.052227 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 6 steps t=0.198000 (-7.656198e-02) L2 error at time of violation: 0.170148 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0321-0.0313 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0322 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256800 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0322-0.0314 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0323 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257600 ---POS Violated after 7 steps t=0.226100 (-1.459207e-03) L2 error at time of violation: 0.154622 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03221 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03221-0.03213 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03222 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257680 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03222-0.03214 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03223 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257760 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03223-0.03215 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03224 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257840 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03224-0.03216 (8e-05) Potential Increase in error ---POS Preserved --Testing dt=0.03225 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257920 ---POS Violated after 7 steps t=0.225750 (-9.163560e-03) L2 error at time of violation: 0.154274 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032241 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257920 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032241-0.032233 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032242 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257928 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032242-0.032234 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032243 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257936 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032243-0.032235 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032244 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257944 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032244-0.032236 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032245 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032245-0.032237 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032246 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257960 ---POS Violated after 7 steps t=0.225722 (-3.407397e-04) L2 error at time of violation: 0.153949 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032245 Theoretial Max dt=0.052227 results_pos = max_dt: 0.0322 s: 8 k: 5 p: [] dx: 0.0100 r: 5.2227 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 9 steps t=0.099000 (1.188780e-04) L2 error at time of violation: 0.124768 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 ---TVD Violated after 12 steps t=0.124800 (4.659292e-03) L2 error at time of violation: 0.105235 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01031-0.00128 (0.00903) Potential Increase in error ---TVD Preserved --Testing dt=0.01032 ---TVD Violated after 12 steps t=0.123840 (1.751570e-04) L2 error at time of violation: 0.105647 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010311-0.001268 (0.009043) Potential Increase in error ---TVD Preserved --Testing dt=0.010312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010312-0.001256 (0.009056) Potential Increase in error ---TVD Preserved --Testing dt=0.010313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010313-0.001244 (0.009069) Potential Increase in error ---TVD Preserved --Testing dt=0.010314 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010314-0.001232 (0.009082) Potential Increase in error ---TVD Preserved --Testing dt=0.010315 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010315-0.00122 (0.009095) Potential Increase in error ---TVD Preserved --Testing dt=0.010316 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010316-0.001208 (0.009108) Potential Increase in error ---TVD Preserved --Testing dt=0.010317 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010317-0.001196 (0.009121) Potential Increase in error ---TVD Preserved --Testing dt=0.010318 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010318-0.001184 (0.009134) Potential Increase in error ---TVD Preserved --Testing dt=0.010319 ---TVD Violated after 12 steps t=0.123828 (5.648705e-05) L2 error at time of violation: 0.105652 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010318 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.008 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.02 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.209000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.009 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.021 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.220000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.01 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.022 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.231000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.011 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.023 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.242000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.012 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.024 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.253000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.013 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.025 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.264000 ---POS Violated after 8 steps t=0.200000 (-8.227728e-04) L2 error at time of violation: 0.199856 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.264000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.023 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0242 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.265100 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.0231 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0243 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.266200 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0243-0.0232 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0244 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.267300 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0244-0.0233 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0245 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.268400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0245-0.0234 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0246 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.269500 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0246-0.0235 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0247 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.270600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0247-0.0236 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0248 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.271700 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0248-0.0237 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0249 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.272800 ---POS Violated after 9 steps t=0.224100 (-4.776855e-03) L2 error at time of violation: 0.192568 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02481 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.272800 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02481-0.0247 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02482 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.272910 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02482-0.02471 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02483 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273020 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02483-0.02472 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02484 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273130 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02484-0.02473 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02485 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273240 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02485-0.02474 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02486 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273350 ---POS Violated after 9 steps t=0.223740 (-4.264163e-04) L2 error at time of violation: 0.192416 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024851 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273350 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024851-0.02484 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024852 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273361 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024852-0.024841 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024853 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024853-0.024842 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024854 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024854-0.024843 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024855 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024855-0.024844 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024856 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273405 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024856-0.024845 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.024857 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.273416 ---POS Violated after 9 steps t=0.223713 (-9.410774e-05) L2 error at time of violation: 0.192404 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024856 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0249 s: 6 k: 8 p: [] dx: 0.0100 r: 3.7767 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 4 steps t=0.056000 (2.280225e-02) L2 error at time of violation: 0.0251022 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 ---TVD Violated after 5 steps t=0.066000 (1.359082e-03) L2 error at time of violation: 0.0227759 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01311-0.00701 (0.0061) Potential Increase in error ---TVD Preserved --Testing dt=0.01312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01312-0.00692 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.01313 ---TVD Violated after 7 steps t=0.091910 (1.661659e-04) L2 error at time of violation: 0.0213161 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013121-0.006911 (0.00621) Potential Increase in error ---TVD Preserved --Testing dt=0.013122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013122-0.006902 (0.00622) Potential Increase in error ---TVD Preserved --Testing dt=0.013123 ---TVD Violated after 8 steps t=0.104984 (1.212277e-04) L2 error at time of violation: 0.0200443 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013122 Theoretial Max dt=0.037405 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 ---POS Violated after 5 steps t=0.110000 (-1.801867e-02) L2 error at time of violation: 0.0738401 Refining dt search increment 0.001->0.0001 --Testing dt=0.0211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0211-0.0195 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.0212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0212-0.019 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0213-0.0185 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0214 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0214-0.018 (0.0034) Potential Increase in error ---POS Preserved --Testing dt=0.0215 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0215-0.0175 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0216 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0216-0.017 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0217 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0217-0.0165 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0218 ---POS Violated after 5 steps t=0.109000 (-4.325763e-03) L2 error at time of violation: 0.0728139 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02171-0.01645 (0.00526) Potential Increase in error ---POS Preserved --Testing dt=0.02172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02172-0.0164 (0.00532) Potential Increase in error ---POS Preserved --Testing dt=0.02173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02173-0.01635 (0.00538) Potential Increase in error ---POS Preserved --Testing dt=0.02174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02174-0.0163 (0.00544) Potential Increase in error ---POS Preserved --Testing dt=0.02175 ---POS Violated after 5 steps t=0.108750 (-1.389942e-05) L2 error at time of violation: 0.0727808 Refining dt search increment 1e-05->1e-06 --Testing dt=0.021741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021741-0.016295 (0.005446) Potential Increase in error ---POS Preserved --Testing dt=0.021742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021742-0.01629 (0.005452) Potential Increase in error ---POS Preserved --Testing dt=0.021743 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021743-0.016285 (0.005458) Potential Increase in error ---POS Preserved --Testing dt=0.021744 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021744-0.01628 (0.005464) Potential Increase in error ---POS Preserved --Testing dt=0.021745 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021745-0.016275 (0.00547) Potential Increase in error ---POS Preserved --Testing dt=0.021746 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021746-0.01627 (0.005476) Potential Increase in error ---POS Preserved --Testing dt=0.021747 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021747-0.016265 (0.005482) Potential Increase in error ---POS Preserved --Testing dt=0.021748 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021748-0.01626 (0.005488) Potential Increase in error ---POS Preserved --Testing dt=0.021749 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021749-0.016255 (0.005494) Potential Increase in error ---POS Preserved --Testing dt=0.02175 ---POS Violated after 5 steps t=0.108750 (-1.389942e-05) L2 error at time of violation: 0.0727808 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.021749 Theoretial Max dt=0.037405 results_pos = max_dt: 0.0217 s: 7 k: 2 p: [] dx: 0.0100 r: 3.7405 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 4 steps t=0.044000 (3.023116e-03) L2 error at time of violation: 0.0549957 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---TVD Preserved --Testing dt=0.0105 ---TVD Violated after 7 steps t=0.073500 (1.524493e-03) L2 error at time of violation: 0.0356957 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01041-8e-05 (0.01033) Potential Increase in error ---TVD Preserved --Testing dt=0.01042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01042-0.01038 (4e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.01043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01043-0.01027 (0.00016) Potential Increase in error ---TVD Preserved --Testing dt=0.01044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01044-0.01016 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.01045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01045-0.01005 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.01046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01046-0.00994 (0.00052) Potential Increase in error ---TVD Preserved --Testing dt=0.01047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01047-0.00983 (0.00064) Potential Increase in error ---TVD Preserved --Testing dt=0.01048 ---TVD Violated after 7 steps t=0.073360 (4.613931e-04) L2 error at time of violation: 0.0360484 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010471 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010471-0.009819 (0.000652) Potential Increase in error ---TVD Preserved --Testing dt=0.010472 ---TVD Violated after 7 steps t=0.073304 (3.072256e-05) L2 error at time of violation: 0.0244272 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010471 Theoretial Max dt=0.019733 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 3 steps t=0.060000 (-1.610796e-03) L2 error at time of violation: 0.089753 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 ---POS Violated after 4 steps t=0.077200 (-1.076930e-04) L2 error at time of violation: 0.0686695 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01921-0.00974 (0.00947) Potential Increase in error ---POS Preserved --Testing dt=0.01922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01922-0.00968 (0.00954) Potential Increase in error ---POS Preserved --Testing dt=0.01923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01923-0.00962 (0.00961) Potential Increase in error ---POS Preserved --Testing dt=0.01924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01924-0.00956 (0.00968) Potential Increase in error ---POS Preserved --Testing dt=0.01925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01925-0.0095 (0.00975) Potential Increase in error ---POS Preserved --Testing dt=0.01926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01926-0.00944 (0.00982) Potential Increase in error ---POS Preserved --Testing dt=0.01927 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01927-0.00938 (0.00989) Potential Increase in error ---POS Preserved --Testing dt=0.01928 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01928-0.00932 (0.00996) Potential Increase in error ---POS Preserved --Testing dt=0.01929 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01929-0.00926 (0.01003) Potential Increase in error ---POS Preserved --Testing dt=0.0193 ---POS Violated after 4 steps t=0.077200 (-1.076930e-04) L2 error at time of violation: 0.0686695 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019291-0.009254 (0.010037) Potential Increase in error ---POS Preserved --Testing dt=0.019292 ---POS Violated after 4 steps t=0.077168 (-5.680523e-06) L2 error at time of violation: 0.0686475 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019291 Theoretial Max dt=0.019733 results_pos = max_dt: 0.0193 s: 11 k: 3 p: [] dx: 0.0100 r: 1.9733 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 7 steps t=0.077000 (1.238019e-05) L2 error at time of violation: 0.0617806 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 ---TVD Violated after 12 steps t=0.122400 (2.103873e-13) L2 error at time of violation: 0.0287603 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01011-0.00368 (0.00643) Potential Increase in error ---TVD Preserved --Testing dt=0.01012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01012-0.00356 (0.00656) Potential Increase in error ---TVD Preserved --Testing dt=0.01013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01013-0.00344 (0.00669) Potential Increase in error ---TVD Preserved --Testing dt=0.01014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01014-0.00332 (0.00682) Potential Increase in error ---TVD Preserved --Testing dt=0.01015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01015-0.0032 (0.00695) Potential Increase in error ---TVD Preserved --Testing dt=0.01016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01016-0.00308 (0.00708) Potential Increase in error ---TVD Preserved --Testing dt=0.01017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01017-0.00296 (0.00721) Potential Increase in error ---TVD Preserved --Testing dt=0.01018 ---TVD Violated after 12 steps t=0.122160 (2.624567e-13) L2 error at time of violation: 0.0292157 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010171-0.002948 (0.007223) Potential Increase in error ---TVD Preserved --Testing dt=0.010172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010172-0.002936 (0.007236) Potential Increase in error ---TVD Preserved --Testing dt=0.010173 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010173-0.002924 (0.007249) Potential Increase in error ---TVD Preserved --Testing dt=0.010174 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010174-0.002912 (0.007262) Potential Increase in error ---TVD Preserved --Testing dt=0.010175 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010175-0.0029 (0.007275) Potential Increase in error ---TVD Preserved --Testing dt=0.010176 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010176-0.002888 (0.007288) Potential Increase in error ---TVD Preserved --Testing dt=0.010177 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010177-0.002876 (0.007301) Potential Increase in error ---TVD Preserved --Testing dt=0.010178 ---TVD Violated after 12 steps t=0.122136 (1.296740e-13) L2 error at time of violation: 0.0292636 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010177 Theoretial Max dt=0.027063 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 12s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 ---POS Violated after 5 steps t=0.110000 (-1.908445e-03) L2 error at time of violation: 0.109729 Refining dt search increment 0.001->0.0001 --Testing dt=0.0211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0211-0.0195 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.0212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0212-0.019 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0213-0.0185 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0214 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0214-0.018 (0.0034) Potential Increase in error ---POS Preserved --Testing dt=0.0215 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0215-0.0175 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0216 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0216-0.017 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0217 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0217-0.0165 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0218 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0218-0.016 (0.0058) Potential Increase in error ---POS Preserved --Testing dt=0.0219 ---POS Violated after 5 steps t=0.109500 (-6.555169e-04) L2 error at time of violation: 0.109498 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02181-0.01595 (0.00586) Potential Increase in error ---POS Preserved --Testing dt=0.02182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02182-0.0159 (0.00592) Potential Increase in error ---POS Preserved --Testing dt=0.02183 ---POS Violated after 5 steps t=0.109150 (-6.809539e-07) L2 error at time of violation: 0.10944 Refining dt search increment 1e-05->1e-06 --Testing dt=0.021821 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021821-0.015895 (0.005926) Potential Increase in error ---POS Preserved --Testing dt=0.021822 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021822-0.01589 (0.005932) Potential Increase in error ---POS Preserved --Testing dt=0.021823 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021823-0.015885 (0.005938) Potential Increase in error ---POS Preserved --Testing dt=0.021824 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021824-0.01588 (0.005944) Potential Increase in error ---POS Preserved --Testing dt=0.021825 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021825-0.015875 (0.00595) Potential Increase in error ---POS Preserved --Testing dt=0.021826 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021826-0.01587 (0.005956) Potential Increase in error ---POS Preserved --Testing dt=0.021827 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021827-0.015865 (0.005962) Potential Increase in error ---POS Preserved --Testing dt=0.021828 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021828-0.01586 (0.005968) Potential Increase in error ---POS Preserved --Testing dt=0.021829 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021829-0.015855 (0.005974) Potential Increase in error ---POS Preserved --Testing dt=0.02183 ---POS Violated after 5 steps t=0.109150 (-6.809539e-07) L2 error at time of violation: 0.10944 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.021829 Theoretial Max dt=0.027063 results_pos = max_dt: 0.0218 s: 12 k: 4 p: [] dx: 0.0100 r: 2.7063 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 8 steps t=0.048000 (2.431716e-04) L2 error at time of violation: 0.0587869 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 ---TVD Violated after 8 steps t=0.045600 (5.979450e-05) L2 error at time of violation: 0.0529864 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00561-0.00158 (0.00403) Potential Increase in error ---TVD Preserved --Testing dt=0.00562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00562-0.00136 (0.00426) Potential Increase in error ---TVD Preserved --Testing dt=0.00563 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00563-0.00114 (0.00449) Potential Increase in error ---TVD Preserved --Testing dt=0.00564 ---TVD Violated after 8 steps t=0.045120 (2.594317e-06) L2 error at time of violation: 0.0538564 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005631-0.001118 (0.004513) Potential Increase in error ---TVD Preserved --Testing dt=0.005632 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005632-0.001096 (0.004536) Potential Increase in error ---TVD Preserved --Testing dt=0.005633 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005633-0.001074 (0.004559) Potential Increase in error ---TVD Preserved --Testing dt=0.005634 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005634-0.001052 (0.004582) Potential Increase in error ---TVD Preserved --Testing dt=0.005635 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005635-0.00103 (0.004605) Potential Increase in error ---TVD Preserved --Testing dt=0.005636 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005636-0.001008 (0.004628) Potential Increase in error ---TVD Preserved --Testing dt=0.005637 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005637-0.000986 (0.004651) Potential Increase in error ---TVD Preserved --Testing dt=0.005638 ---TVD Violated after 8 steps t=0.045104 (5.716179e-07) L2 error at time of violation: 0.053886 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005637 Theoretial Max dt=0.017040 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 5 steps t=0.060000 (-7.886863e-03) L2 error at time of violation: 0.0995922 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0117 ---POS Violated after 6 steps t=0.070200 (-9.978610e-04) L2 error at time of violation: 0.0924833 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01161-0.0089 (0.00271) Potential Increase in error ---POS Preserved --Testing dt=0.01162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01162-0.0088 (0.00282) Potential Increase in error ---POS Preserved --Testing dt=0.01163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01163-0.0087 (0.00293) Potential Increase in error ---POS Preserved --Testing dt=0.01164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01164-0.0086 (0.00304) Potential Increase in error ---POS Preserved --Testing dt=0.01165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01165-0.0085 (0.00315) Potential Increase in error ---POS Preserved --Testing dt=0.01166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01166-0.0084 (0.00326) Potential Increase in error ---POS Preserved --Testing dt=0.01167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01167-0.0083 (0.00337) Potential Increase in error ---POS Preserved --Testing dt=0.01168 ---POS Violated after 6 steps t=0.070080 (-3.070621e-04) L2 error at time of violation: 0.0923707 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011671 ---POS Violated after 6 steps t=0.070026 (-4.010366e-07) L2 error at time of violation: 0.092327 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011670 Theoretial Max dt=0.017040 results_pos = max_dt: 0.0117 s: 5 k: 5 p: [] dx: 0.0100 r: 1.7040 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 4 steps t=0.024000 (1.056190e-02) L2 error at time of violation: 0.0227849 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 ---TVD Violated after 4 steps t=0.022400 (6.953408e-04) L2 error at time of violation: 0.0263009 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00551 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00551-0.00378 (0.00173) Potential Increase in error ---TVD Preserved --Testing dt=0.00552 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00552-0.00356 (0.00196) Potential Increase in error ---TVD Preserved --Testing dt=0.00553 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00553-0.00334 (0.00219) Potential Increase in error ---TVD Preserved --Testing dt=0.00554 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00554-0.00312 (0.00242) Potential Increase in error ---TVD Preserved --Testing dt=0.00555 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00555-0.0029 (0.00265) Potential Increase in error ---TVD Preserved --Testing dt=0.00556 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00556-0.00268 (0.00288) Potential Increase in error ---TVD Preserved --Testing dt=0.00557 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00557-0.00246 (0.00311) Potential Increase in error ---TVD Preserved --Testing dt=0.00558 ---TVD Violated after 4 steps t=0.022320 (7.807118e-05) L2 error at time of violation: 0.0266001 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005571 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005571-0.002438 (0.003133) Potential Increase in error ---TVD Preserved --Testing dt=0.005572 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005572-0.002416 (0.003156) Potential Increase in error ---TVD Preserved --Testing dt=0.005573 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005573-0.002394 (0.003179) Potential Increase in error ---TVD Preserved --Testing dt=0.005574 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005574-0.002372 (0.003202) Potential Increase in error ---TVD Preserved --Testing dt=0.005575 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005575-0.00235 (0.003225) Potential Increase in error ---TVD Preserved --Testing dt=0.005576 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005576-0.002328 (0.003248) Potential Increase in error ---TVD Preserved --Testing dt=0.005577 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005577-0.002306 (0.003271) Potential Increase in error ---TVD Preserved --Testing dt=0.005578 ---TVD Violated after 4 steps t=0.022312 (1.318654e-05) L2 error at time of violation: 0.0266305 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005577 Theoretial Max dt=0.015927 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 2 steps t=0.026000 (-3.217490e-02) L2 error at time of violation: 0.0402867 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 ---POS Violated after 9 steps t=0.109800 (-9.142785e-04) L2 error at time of violation: 0.0794807 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01211-0.0039 (0.00821) Potential Increase in error ---POS Preserved --Testing dt=0.01212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01212-0.0038 (0.00832) Potential Increase in error ---POS Preserved --Testing dt=0.01213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01213-0.0037 (0.00843) Potential Increase in error ---POS Preserved --Testing dt=0.01214 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01214-0.0036 (0.00854) Potential Increase in error ---POS Preserved --Testing dt=0.01215 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01215-0.0035 (0.00865) Potential Increase in error ---POS Preserved --Testing dt=0.01216 ---POS Violated after 10 steps t=0.121600 (-8.385422e-03) L2 error at time of violation: 0.0948728 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012151-0.00349 (0.008661) Potential Increase in error ---POS Preserved --Testing dt=0.012152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012152-0.00348 (0.008672) Potential Increase in error ---POS Preserved --Testing dt=0.012153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012153-0.00347 (0.008683) Potential Increase in error ---POS Preserved --Testing dt=0.012154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012154-0.00346 (0.008694) Potential Increase in error ---POS Preserved --Testing dt=0.012155 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012155-0.00345 (0.008705) Potential Increase in error ---POS Preserved --Testing dt=0.012156 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012156-0.00344 (0.008716) Potential Increase in error ---POS Preserved --Testing dt=0.012157 ---POS Violated after 10 steps t=0.121570 (-3.717275e-03) L2 error at time of violation: 0.0926612 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012156 Theoretial Max dt=0.015927 results_pos = max_dt: 0.0122 s: 4 k: 2 p: [] dx: 0.0100 r: 1.5927 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 7 steps t=0.084000 (1.518830e-03) L2 error at time of violation: 0.0615702 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 7 steps t=0.084000 (1.518830e-03) L2 error at time of violation: 0.0615702 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 ---TVD Violated after 7 steps t=0.083370 (6.180739e-04) L2 error at time of violation: 0.061913 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011901 ---TVD Violated after 7 steps t=0.083307 (3.597290e-06) L2 error at time of violation: 0.0619549 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011900 Theoretial Max dt=0.037527 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 ---POS Violated after 5 steps t=0.115000 (-2.391408e-02) L2 error at time of violation: 0.116164 Refining dt search increment 0.001->0.0001 --Testing dt=0.0221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0221-0.0145 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0222-0.014 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0223-0.0135 (0.0088) Potential Increase in error ---POS Preserved --Testing dt=0.0224 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0224-0.013 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0225 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0225-0.0125 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0226 ---POS Violated after 5 steps t=0.113000 (-9.586862e-03) L2 error at time of violation: 0.112681 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02251-0.01245 (0.01006) Potential Increase in error ---POS Preserved --Testing dt=0.02252 ---POS Violated after 5 steps t=0.112600 (-4.915371e-04) L2 error at time of violation: 0.112072 Refining dt search increment 1e-05->1e-06 --Testing dt=0.022511 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022511-0.012445 (0.010066) Potential Increase in error ---POS Preserved --Testing dt=0.022512 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022512-0.01244 (0.010072) Potential Increase in error ---POS Preserved --Testing dt=0.022513 ---POS Violated after 5 steps t=0.112565 (-4.435562e-05) L2 error at time of violation: 0.112091 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.022512 Theoretial Max dt=0.037527 results_pos = max_dt: 0.0225 s: 7 k: 4 p: [] dx: 0.0100 r: 3.7527 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s7k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 10 steps t=0.070000 (2.917270e-04) L2 error at time of violation: 0.0834756 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 ---TVD Violated after 10 steps t=0.064000 (7.020725e-06) L2 error at time of violation: 0.0784974 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00631-0.00511 (0.0012) Potential Increase in error ---TVD Preserved --Testing dt=0.00632 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00632-0.00492 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.00633 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00633-0.00473 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.00634 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00634-0.00454 (0.0018) Potential Increase in error ---TVD Preserved --Testing dt=0.00635 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00635-0.00435 (0.002) Potential Increase in error ---TVD Preserved --Testing dt=0.00636 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00636-0.00416 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.00637 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00637-0.00397 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.00638 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00638-0.00378 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.00639 ---TVD Violated after 10 steps t=0.063900 (9.199181e-07) L2 error at time of violation: 0.0785457 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006381-0.003761 (0.00262) Potential Increase in error ---TVD Preserved --Testing dt=0.006382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006382-0.003742 (0.00264) Potential Increase in error ---TVD Preserved --Testing dt=0.006383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006383-0.003723 (0.00266) Potential Increase in error ---TVD Preserved --Testing dt=0.006384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006384-0.003704 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.006385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006385-0.003685 (0.0027) Potential Increase in error ---TVD Preserved --Testing dt=0.006386 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006386-0.003666 (0.00272) Potential Increase in error ---TVD Preserved --Testing dt=0.006387 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006387-0.003647 (0.00274) Potential Increase in error ---TVD Preserved --Testing dt=0.006388 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006388-0.003628 (0.00276) Potential Increase in error ---TVD Preserved --Testing dt=0.006389 ---TVD Violated after 10 steps t=0.063890 (3.066799e-07) L2 error at time of violation: 0.0785506 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006388 Theoretial Max dt=0.020665 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s7k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 7 steps t=0.105000 (-3.961198e-04) L2 error at time of violation: 0.141112 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.0148 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0148-0.0066 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0149 ---POS Violated after 8 steps t=0.119200 (-1.876518e-03) L2 error at time of violation: 0.133531 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01481-0.00652 (0.00829) Potential Increase in error ---POS Preserved --Testing dt=0.01482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01482-0.00644 (0.00838) Potential Increase in error ---POS Preserved --Testing dt=0.01483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01483-0.00636 (0.00847) Potential Increase in error ---POS Preserved --Testing dt=0.01484 ---POS Violated after 8 steps t=0.118720 (-4.987577e-05) L2 error at time of violation: 0.133409 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014831 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014831-0.006352 (0.008479) Potential Increase in error ---POS Preserved --Testing dt=0.014832 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014832-0.006344 (0.008488) Potential Increase in error ---POS Preserved --Testing dt=0.014833 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014833-0.006336 (0.008497) Potential Increase in error ---POS Preserved --Testing dt=0.014834 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014834-0.006328 (0.008506) Potential Increase in error ---POS Preserved --Testing dt=0.014835 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014835-0.00632 (0.008515) Potential Increase in error ---POS Preserved --Testing dt=0.014836 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014836-0.006312 (0.008524) Potential Increase in error ---POS Preserved --Testing dt=0.014837 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014837-0.006304 (0.008533) Potential Increase in error ---POS Preserved --Testing dt=0.014838 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014838-0.006296 (0.008542) Potential Increase in error ---POS Preserved --Testing dt=0.014839 ---POS Violated after 8 steps t=0.118712 (-2.011424e-05) L2 error at time of violation: 0.133407 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014838 Theoretial Max dt=0.020665 results_pos = max_dt: 0.0148 s: 6 k: 7 p: [] dx: 0.0100 r: 2.0665 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 4 steps t=0.036000 (5.641598e-03) L2 error at time of violation: 0.0722554 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0088-0.0018 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0089 ---TVD Violated after 4 steps t=0.035600 (1.984435e-03) L2 error at time of violation: 0.0724262 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00881-0.00166 (0.00715) Potential Increase in error ---TVD Preserved --Testing dt=0.00882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00882-0.00152 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.00883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00883-0.00138 (0.00745) Potential Increase in error ---TVD Preserved --Testing dt=0.00884 ---TVD Violated after 4 steps t=0.035360 (1.693323e-08) L2 error at time of violation: 0.0725332 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008831 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008831-0.001366 (0.007465) Potential Increase in error ---TVD Preserved --Testing dt=0.008832 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008832-0.001352 (0.00748) Potential Increase in error ---TVD Preserved --Testing dt=0.008833 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008833-0.001338 (0.007495) Potential Increase in error ---TVD Preserved --Testing dt=0.008834 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008834-0.001324 (0.00751) Potential Increase in error ---TVD Preserved --Testing dt=0.008835 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008835-0.00131 (0.007525) Potential Increase in error ---TVD Preserved --Testing dt=0.008836 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008836-0.001296 (0.00754) Potential Increase in error ---TVD Preserved --Testing dt=0.008837 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008837-0.001282 (0.007555) Potential Increase in error ---TVD Preserved --Testing dt=0.008838 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008838-0.001268 (0.00757) Potential Increase in error ---TVD Preserved --Testing dt=0.008839 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008839-0.001254 (0.007585) Potential Increase in error ---TVD Preserved --Testing dt=0.00884 ---TVD Violated after 4 steps t=0.035360 (1.693323e-08) L2 error at time of violation: 0.0725332 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008839 Theoretial Max dt=0.026654 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 4 steps t=0.068000 (-1.679384e-02) L2 error at time of violation: 0.100526 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 ---POS Violated after 4 steps t=0.066000 (-1.105262e-04) L2 error at time of violation: 0.0935716 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01641 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01641-0.01013 (0.00628) Potential Increase in error ---POS Preserved --Testing dt=0.01642 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01642-0.01006 (0.00636) Potential Increase in error ---POS Preserved --Testing dt=0.01643 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01643-0.00999 (0.00644) Potential Increase in error ---POS Preserved --Testing dt=0.01644 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01644-0.00992 (0.00652) Potential Increase in error ---POS Preserved --Testing dt=0.01645 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01645-0.00985 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.01646 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01646-0.00978 (0.00668) Potential Increase in error ---POS Preserved --Testing dt=0.01647 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01647-0.00971 (0.00676) Potential Increase in error ---POS Preserved --Testing dt=0.01648 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01648-0.00964 (0.00684) Potential Increase in error ---POS Preserved --Testing dt=0.01649 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01649-0.00957 (0.00692) Potential Increase in error ---POS Preserved --Testing dt=0.0165 ---POS Violated after 4 steps t=0.066000 (-1.105262e-04) L2 error at time of violation: 0.0935716 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016491-0.009563 (0.006928) Potential Increase in error ---POS Preserved --Testing dt=0.016492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016492-0.009556 (0.006936) Potential Increase in error ---POS Preserved --Testing dt=0.016493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016493-0.009549 (0.006944) Potential Increase in error ---POS Preserved --Testing dt=0.016494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016494-0.009542 (0.006952) Potential Increase in error ---POS Preserved --Testing dt=0.016495 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016495-0.009535 (0.00696) Potential Increase in error ---POS Preserved --Testing dt=0.016496 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016496-0.009528 (0.006968) Potential Increase in error ---POS Preserved --Testing dt=0.016497 ---POS Violated after 4 steps t=0.065988 (-7.631511e-06) L2 error at time of violation: 0.0935602 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016496 Theoretial Max dt=0.026654 results_pos = max_dt: 0.0165 s: 9 k: 4 p: [] dx: 0.0100 r: 2.6654 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.023 ---TVD Violated after 4 steps t=0.092000 (2.328584e-02) L2 error at time of violation: 0.118139 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0221-0.0145 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0222-0.014 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0223 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0223-0.0135 (0.0088) Potential Increase in error ---TVD Preserved --Testing dt=0.0224 ---TVD Violated after 4 steps t=0.089600 (7.298137e-04) L2 error at time of violation: 0.117788 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02231-0.01345 (0.00886) Potential Increase in error ---TVD Preserved --Testing dt=0.02232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02232-0.0134 (0.00892) Potential Increase in error ---TVD Preserved --Testing dt=0.02233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02233-0.01335 (0.00898) Potential Increase in error ---TVD Preserved --Testing dt=0.02234 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02234-0.0133 (0.00904) Potential Increase in error ---TVD Preserved --Testing dt=0.02235 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02235-0.01325 (0.0091) Potential Increase in error ---TVD Preserved --Testing dt=0.02236 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02236-0.0132 (0.00916) Potential Increase in error ---TVD Preserved --Testing dt=0.02237 ---TVD Violated after 5 steps t=0.111850 (3.022638e-05) L2 error at time of violation: 0.101995 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.022361 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022361-0.013195 (0.009166) Potential Increase in error ---TVD Preserved --Testing dt=0.022362 ---TVD Violated after 5 steps t=0.111810 (8.888695e-07) L2 error at time of violation: 0.102016 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.022361 Theoretial Max dt=0.061486 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---POS Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.04 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.04-0.005 (0.035) Potential Increase in error ---POS Preserved --Testing dt=0.041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.041-0.002 (0.039) Potential Increase in error ---POS Preserved --Testing dt=0.042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.042-0.041 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.043 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 5 steps t=0.215000 (-1.852486e-02) L2 error at time of violation: 0.173698 Refining dt search increment 0.001->0.0001 --Testing dt=0.0421 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 5 steps t=0.210500 (-1.525839e-02) L2 error at time of violation: 0.172585 Refining dt search increment 0.0001->1e-05 --Testing dt=0.04201 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 5 steps t=0.210050 (-1.667323e-02) L2 error at time of violation: 0.172726 Refining dt search increment 1e-05->1e-06 --Testing dt=0.042001 Skip value (3*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.294000 ---POS Violated after 5 steps t=0.210005 (-1.682458e-02) L2 error at time of violation: 0.172721 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.042000 Theoretial Max dt=0.061486 results_pos = max_dt: 0.0420 s: 10 k: 4 p: [] dx: 0.0100 r: 6.1486 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 9 steps t=0.063000 (8.490131e-03) L2 error at time of violation: 0.0867973 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 ---TVD Violated after 12 steps t=0.073200 (4.970845e-04) L2 error at time of violation: 0.0670945 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00601-0.0048 (0.00121) Potential Increase in error ---TVD Preserved --Testing dt=0.00602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00602-0.0046 (0.00142) Potential Increase in error ---TVD Preserved --Testing dt=0.00603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00603-0.0044 (0.00163) Potential Increase in error ---TVD Preserved --Testing dt=0.00604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00604-0.0042 (0.00184) Potential Increase in error ---TVD Preserved --Testing dt=0.00605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00605-0.004 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00606-0.0038 (0.00226) Potential Increase in error ---TVD Preserved --Testing dt=0.00607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00607-0.0036 (0.00247) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 12 steps t=0.072960 (1.994258e-05) L2 error at time of violation: 0.0674238 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006071-0.00358 (0.002491) Potential Increase in error ---TVD Preserved --Testing dt=0.006072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006072-0.00356 (0.002512) Potential Increase in error ---TVD Preserved --Testing dt=0.006073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006073-0.00354 (0.002533) Potential Increase in error ---TVD Preserved --Testing dt=0.006074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006074-0.00352 (0.002554) Potential Increase in error ---TVD Preserved --Testing dt=0.006075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006075-0.0035 (0.002575) Potential Increase in error ---TVD Preserved --Testing dt=0.006076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006076-0.00348 (0.002596) Potential Increase in error ---TVD Preserved --Testing dt=0.006077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006077-0.00346 (0.002617) Potential Increase in error ---TVD Preserved --Testing dt=0.006078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006078-0.00344 (0.002638) Potential Increase in error ---TVD Preserved --Testing dt=0.006079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006079-0.00342 (0.002659) Potential Increase in error ---TVD Preserved --Testing dt=0.00608 ---TVD Violated after 12 steps t=0.072960 (1.994258e-05) L2 error at time of violation: 0.0674238 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006079 Theoretial Max dt=0.023027 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s7k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 7 steps t=0.112000 (-2.290854e-02) L2 error at time of violation: 0.143414 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 ---POS Violated after 7 steps t=0.107800 (-1.600373e-03) L2 error at time of violation: 0.142366 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01531-0.00252 (0.01279) Potential Increase in error ---POS Preserved --Testing dt=0.01532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01532-0.00244 (0.01288) Potential Increase in error ---POS Preserved --Testing dt=0.01533 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01533-0.00236 (0.01297) Potential Increase in error ---POS Preserved --Testing dt=0.01534 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01534-0.00228 (0.01306) Potential Increase in error ---POS Preserved --Testing dt=0.01535 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01535-0.0022 (0.01315) Potential Increase in error ---POS Preserved --Testing dt=0.01536 ---POS Violated after 7 steps t=0.107520 (-2.884273e-04) L2 error at time of violation: 0.142299 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015351-0.002192 (0.013159) Potential Increase in error ---POS Preserved --Testing dt=0.015352 ---POS Violated after 7 steps t=0.107464 (-2.755587e-05) L2 error at time of violation: 0.142286 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015351 Theoretial Max dt=0.023027 results_pos = max_dt: 0.0154 s: 4 k: 7 p: [] dx: 0.0100 r: 2.3027 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 4 steps t=0.044000 (6.335386e-03) L2 error at time of violation: 0.0793095 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---TVD Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0107 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0107-0.0073 (0.0034) Potential Increase in error ---TVD Preserved --Testing dt=0.0108 ---TVD Violated after 4 steps t=0.043200 (3.990959e-04) L2 error at time of violation: 0.0795141 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01071-0.00719 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.01072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01072-0.00708 (0.00364) Potential Increase in error ---TVD Preserved --Testing dt=0.01073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01073-0.00697 (0.00376) Potential Increase in error ---TVD Preserved --Testing dt=0.01074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01074-0.00686 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.01075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01075-0.00675 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.01076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01076-0.00664 (0.00412) Potential Increase in error ---TVD Preserved --Testing dt=0.01077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01077-0.00653 (0.00424) Potential Increase in error ---TVD Preserved --Testing dt=0.01078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01078-0.00642 (0.00436) Potential Increase in error ---TVD Preserved --Testing dt=0.01079 ---TVD Violated after 4 steps t=0.043160 (9.712316e-05) L2 error at time of violation: 0.0795246 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010781-0.006409 (0.004372) Potential Increase in error ---TVD Preserved --Testing dt=0.010782 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010782-0.006398 (0.004384) Potential Increase in error ---TVD Preserved --Testing dt=0.010783 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010783-0.006387 (0.004396) Potential Increase in error ---TVD Preserved --Testing dt=0.010784 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010784-0.006376 (0.004408) Potential Increase in error ---TVD Preserved --Testing dt=0.010785 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010785-0.006365 (0.00442) Potential Increase in error ---TVD Preserved --Testing dt=0.010786 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010786-0.006354 (0.004432) Potential Increase in error ---TVD Preserved --Testing dt=0.010787 ---TVD Violated after 4 steps t=0.043148 (6.435019e-06) L2 error at time of violation: 0.0795277 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010786 Theoretial Max dt=0.031480 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 ---POS Violated after 4 steps t=0.084000 (-2.621673e-02) L2 error at time of violation: 0.111862 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 ---POS Violated after 4 steps t=0.080400 (-8.607815e-04) L2 error at time of violation: 0.111317 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02001-0.00494 (0.01507) Potential Increase in error ---POS Preserved --Testing dt=0.02002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02002-0.00488 (0.01514) Potential Increase in error ---POS Preserved --Testing dt=0.02003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02003-0.00482 (0.01521) Potential Increase in error ---POS Preserved --Testing dt=0.02004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02004-0.00476 (0.01528) Potential Increase in error ---POS Preserved --Testing dt=0.02005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02005-0.0047 (0.01535) Potential Increase in error ---POS Preserved --Testing dt=0.02006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02006-0.00464 (0.01542) Potential Increase in error ---POS Preserved --Testing dt=0.02007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02007-0.00458 (0.01549) Potential Increase in error ---POS Preserved --Testing dt=0.02008 ---POS Violated after 4 steps t=0.080320 (-2.506811e-04) L2 error at time of violation: 0.111334 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020071-0.004574 (0.015497) Potential Increase in error ---POS Preserved --Testing dt=0.020072 ---POS Violated after 4 steps t=0.080288 (-6.251980e-06) L2 error at time of violation: 0.111341 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020071 Theoretial Max dt=0.031480 results_pos = max_dt: 0.0201 s: 9 k: 4 p: [] dx: 0.0100 r: 3.1480 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 8 steps t=0.080000 (1.058480e-05) L2 error at time of violation: 0.0682559 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 ---TVD Violated after 8 steps t=0.075200 (1.372222e-06) L2 error at time of violation: 0.0721018 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00931 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00931-0.00397 (0.00534) Potential Increase in error ---TVD Preserved --Testing dt=0.00932 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00932-0.00384 (0.00548) Potential Increase in error ---TVD Preserved --Testing dt=0.00933 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00933-0.00371 (0.00562) Potential Increase in error ---TVD Preserved --Testing dt=0.00934 ---TVD Violated after 8 steps t=0.074720 (2.140893e-07) L2 error at time of violation: 0.0725243 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009331 ---TVD Violated after 8 steps t=0.074648 (1.553691e-08) L2 error at time of violation: 0.072591 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009330 Theoretial Max dt=0.027077 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 11s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 ---POS Violated after 5 steps t=0.105000 (-1.415299e-04) L2 error at time of violation: 0.131465 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0201-0.0044 (0.0157) Potential Increase in error ---POS Preserved --Testing dt=0.0202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0202-0.0038 (0.0164) Potential Increase in error ---POS Preserved --Testing dt=0.0203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0203-0.0032 (0.0171) Potential Increase in error ---POS Preserved --Testing dt=0.0204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0204-0.0026 (0.0178) Potential Increase in error ---POS Preserved --Testing dt=0.0205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0205-0.002 (0.0185) Potential Increase in error ---POS Preserved --Testing dt=0.0206 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0206-0.0014 (0.0192) Potential Increase in error ---POS Preserved --Testing dt=0.0207 ---POS Violated after 6 steps t=0.124200 (-2.861972e-04) L2 error at time of violation: 0.119116 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02061-0.00134 (0.01927) Potential Increase in error ---POS Preserved --Testing dt=0.02062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02062-0.00128 (0.01934) Potential Increase in error ---POS Preserved --Testing dt=0.02063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02063-0.00122 (0.01941) Potential Increase in error ---POS Preserved --Testing dt=0.02064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02064-0.00116 (0.01948) Potential Increase in error ---POS Preserved --Testing dt=0.02065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02065-0.0011 (0.01955) Potential Increase in error ---POS Preserved --Testing dt=0.02066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02066-0.00104 (0.01962) Potential Increase in error ---POS Preserved --Testing dt=0.02067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02067-0.00098 (0.01969) Potential Increase in error ---POS Preserved --Testing dt=0.02068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02068-0.00092 (0.01976) Potential Increase in error ---POS Preserved --Testing dt=0.02069 ---POS Violated after 6 steps t=0.124140 (-7.271788e-05) L2 error at time of violation: 0.119103 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020681 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020681-0.000914 (0.019767) Potential Increase in error ---POS Preserved --Testing dt=0.020682 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020682-0.000908 (0.019774) Potential Increase in error ---POS Preserved --Testing dt=0.020683 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020683-0.000902 (0.019781) Potential Increase in error ---POS Preserved --Testing dt=0.020684 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020684-0.000896 (0.019788) Potential Increase in error ---POS Preserved --Testing dt=0.020685 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020685-0.00089 (0.019795) Potential Increase in error ---POS Preserved --Testing dt=0.020686 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020686-0.000884 (0.019802) Potential Increase in error ---POS Preserved --Testing dt=0.020687 ---POS Violated after 6 steps t=0.124122 (-9.064632e-06) L2 error at time of violation: 0.119099 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020686 Theoretial Max dt=0.027077 results_pos = max_dt: 0.0207 s: 11 k: 5 p: [] dx: 0.0100 r: 2.7077 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 3 steps t=0.024000 (2.042309e-02) L2 error at time of violation: 0.0548939 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 ---TVD Violated after 10 steps t=0.074000 (3.022167e-10) L2 error at time of violation: 0.0174868 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00731 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00731-0.00073 (0.00658) Potential Increase in error ---TVD Preserved --Testing dt=0.00732 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00732-0.00056 (0.00676) Potential Increase in error ---TVD Preserved --Testing dt=0.00733 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00733-0.00039 (0.00694) Potential Increase in error ---TVD Preserved --Testing dt=0.00734 ---TVD Violated after 14 steps t=0.102760 (1.058043e-13) L2 error at time of violation: 0.0198455 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007331-0.000373 (0.006958) Potential Increase in error ---TVD Preserved --Testing dt=0.007332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007332-0.000356 (0.006976) Potential Increase in error ---TVD Preserved --Testing dt=0.007333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007333-0.000339 (0.006994) Potential Increase in error ---TVD Preserved --Testing dt=0.007334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007334-0.000322 (0.007012) Potential Increase in error ---TVD Preserved --Testing dt=0.007335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007335-0.000305 (0.00703) Potential Increase in error ---TVD Preserved --Testing dt=0.007336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007336-0.000288 (0.007048) Potential Increase in error ---TVD Preserved --Testing dt=0.007337 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007337-0.000271 (0.007066) Potential Increase in error ---TVD Preserved --Testing dt=0.007338 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007338-0.000254 (0.007084) Potential Increase in error ---TVD Preserved --Testing dt=0.007339 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007339-0.000237 (0.007102) Potential Increase in error ---TVD Preserved --Testing dt=0.00734 ---TVD Violated after 14 steps t=0.102760 (1.062483e-13) L2 error at time of violation: 0.0198455 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007339 Theoretial Max dt=0.021590 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 3 steps t=0.042000 (-6.870959e-03) L2 error at time of violation: 0.0701713 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0137-0.0017 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0138-0.0008 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0139 ---POS Violated after 3 steps t=0.041700 (-2.238474e-03) L2 error at time of violation: 0.0702574 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01381 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01381-0.00071 (0.0131) Potential Increase in error ---POS Preserved --Testing dt=0.01382 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01382-0.00062 (0.0132) Potential Increase in error ---POS Preserved --Testing dt=0.01383 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01383-0.00053 (0.0133) Potential Increase in error ---POS Preserved --Testing dt=0.01384 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01384-0.00044 (0.0134) Potential Increase in error ---POS Preserved --Testing dt=0.01385 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01385-0.00035 (0.0135) Potential Increase in error ---POS Preserved --Testing dt=0.01386 ---POS Violated after 3 steps t=0.041580 (-3.616460e-04) L2 error at time of violation: 0.0702968 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013851 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013851-0.000341 (0.01351) Potential Increase in error ---POS Preserved --Testing dt=0.013852 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013852-0.000332 (0.01352) Potential Increase in error ---POS Preserved --Testing dt=0.013853 ---POS Violated after 3 steps t=0.041559 (-3.185444e-05) L2 error at time of violation: 0.070304 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013852 Theoretial Max dt=0.021590 results_pos = max_dt: 0.0139 s: 8 k: 3 p: [] dx: 0.0100 r: 2.1590 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 4 steps t=0.032000 (2.251944e-04) L2 error at time of violation: 0.0232152 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 ---TVD Violated after 4 steps t=0.030400 (8.631561e-06) L2 error at time of violation: 0.0259814 TV Norm History: 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00751-0.00484 (0.00267) Potential Increase in error ---TVD Preserved --Testing dt=0.00752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00752-0.00468 (0.00284) Potential Increase in error ---TVD Preserved --Testing dt=0.00753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00753-0.00452 (0.00301) Potential Increase in error ---TVD Preserved --Testing dt=0.00754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00754-0.00436 (0.00318) Potential Increase in error ---TVD Preserved --Testing dt=0.00755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00755-0.0042 (0.00335) Potential Increase in error ---TVD Preserved --Testing dt=0.00756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00756-0.00404 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.00757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00757-0.00388 (0.00369) Potential Increase in error ---TVD Preserved --Testing dt=0.00758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00758-0.00372 (0.00386) Potential Increase in error ---TVD Preserved --Testing dt=0.00759 ---TVD Violated after 4 steps t=0.030360 (2.027376e-06) L2 error at time of violation: 0.0259039 TV Norm History: 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007581-0.003704 (0.003877) Potential Increase in error ---TVD Preserved --Testing dt=0.007582 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007582-0.003688 (0.003894) Potential Increase in error ---TVD Preserved --Testing dt=0.007583 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007583-0.003672 (0.003911) Potential Increase in error ---TVD Preserved --Testing dt=0.007584 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007584-0.003656 (0.003928) Potential Increase in error ---TVD Preserved --Testing dt=0.007585 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007585-0.00364 (0.003945) Potential Increase in error ---TVD Preserved --Testing dt=0.007586 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007586-0.003624 (0.003962) Potential Increase in error ---TVD Preserved --Testing dt=0.007587 ---TVD Violated after 4 steps t=0.030348 (3.306828e-08) L2 error at time of violation: 0.025881 TV Norm History: 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007586 Theoretial Max dt=0.023093 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 7 steps t=0.105000 (-2.120063e-02) L2 error at time of violation: 0.0692359 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 ---POS Violated after 8 steps t=0.116800 (-1.141454e-02) L2 error at time of violation: 0.0637454 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01451 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01451-0.00892 (0.00559) Potential Increase in error ---POS Preserved --Testing dt=0.01452 ---POS Violated after 8 steps t=0.116160 (-2.478344e-04) L2 error at time of violation: 0.0629836 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014511 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014511-0.008912 (0.005599) Potential Increase in error ---POS Preserved --Testing dt=0.014512 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014512-0.008904 (0.005608) Potential Increase in error ---POS Preserved --Testing dt=0.014513 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014513-0.008896 (0.005617) Potential Increase in error ---POS Preserved --Testing dt=0.014514 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014514-0.008888 (0.005626) Potential Increase in error ---POS Preserved --Testing dt=0.014515 ---POS Violated after 8 steps t=0.116120 (-6.504795e-05) L2 error at time of violation: 0.0630365 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014514 Theoretial Max dt=0.023093 results_pos = max_dt: 0.0145 s: 6 k: 2 p: [] dx: 0.0100 r: 2.3093 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 ---TVD Violated after 3 steps t=0.057000 (5.319888e-03) L2 error at time of violation: 0.0389794 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0181-0.0164 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.0182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0182-0.0158 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0183-0.0152 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0184 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0184-0.0146 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0185 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0185-0.014 (0.0045) Potential Increase in error ---TVD Preserved --Testing dt=0.0186 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0186-0.0134 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0187 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0187-0.0128 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0188 ---TVD Violated after 3 steps t=0.056400 (2.228918e-03) L2 error at time of violation: 0.0407485 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01871 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01871-0.01274 (0.00597) Potential Increase in error ---TVD Preserved --Testing dt=0.01872 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01872-0.01268 (0.00604) Potential Increase in error ---TVD Preserved --Testing dt=0.01873 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01873-0.01262 (0.00611) Potential Increase in error ---TVD Preserved --Testing dt=0.01874 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01874-0.01256 (0.00618) Potential Increase in error ---TVD Preserved --Testing dt=0.01875 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01875-0.0125 (0.00625) Potential Increase in error ---TVD Preserved --Testing dt=0.01876 ---TVD Violated after 3 steps t=0.056280 (1.003586e-04) L2 error at time of violation: 0.040723 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018751 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018751-0.012494 (0.006257) Potential Increase in error ---TVD Preserved --Testing dt=0.018752 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018752-0.012488 (0.006264) Potential Increase in error ---TVD Preserved --Testing dt=0.018753 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018753-0.012482 (0.006271) Potential Increase in error ---TVD Preserved --Testing dt=0.018754 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018754-0.012476 (0.006278) Potential Increase in error ---TVD Preserved --Testing dt=0.018755 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018755-0.01247 (0.006285) Potential Increase in error ---TVD Preserved --Testing dt=0.018756 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018756-0.012464 (0.006292) Potential Increase in error ---TVD Preserved --Testing dt=0.018757 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018757-0.012458 (0.006299) Potential Increase in error ---TVD Preserved --Testing dt=0.018758 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018758-0.012452 (0.006306) Potential Increase in error ---TVD Preserved --Testing dt=0.018759 ---TVD Violated after 3 steps t=0.056277 (4.832854e-05) L2 error at time of violation: 0.040723 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018758 Theoretial Max dt=0.068274 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s2k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 ---POS Violated after 2 steps t=0.064000 (-6.130874e-03) L2 error at time of violation: 0.0712996 Refining dt search increment 0.001->0.0001 --Testing dt=0.0311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0311-0.0006 (0.0305) Potential Increase in error ---POS Preserved --Testing dt=0.0312 ---POS Violated after 2 steps t=0.062400 (-5.593667e-04) L2 error at time of violation: 0.0739116 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03111-0.00056 (0.03055) Potential Increase in error ---POS Preserved --Testing dt=0.03112 ---POS Violated after 2 steps t=0.062240 (-2.908194e-05) L2 error at time of violation: 0.0739158 Refining dt search increment 1e-05->1e-06 --Testing dt=0.031111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031111-0.000556 (0.030555) Potential Increase in error ---POS Preserved --Testing dt=0.031112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031112-0.000552 (0.03056) Potential Increase in error ---POS Preserved --Testing dt=0.031113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031113-0.000548 (0.030565) Potential Increase in error ---POS Preserved --Testing dt=0.031114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031114-0.000544 (0.03057) Potential Increase in error ---POS Preserved --Testing dt=0.031115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031115-0.00054 (0.030575) Potential Increase in error ---POS Preserved --Testing dt=0.031116 ---POS Violated after 2 steps t=0.062232 (-2.750329e-06) L2 error at time of violation: 0.073916 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.031115 Theoretial Max dt=0.068274 results_pos = max_dt: 0.0311 s: 10 k: 2 p: [] dx: 0.0100 r: 6.8274 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 ---TVD Violated after 5 steps t=0.065000 (9.080916e-05) L2 error at time of violation: 0.0498066 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---TVD Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---TVD Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---TVD Preserved --Testing dt=0.0125 ---TVD Preserved --Testing dt=0.0126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0126-0.0116 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0127 ---TVD Violated after 5 steps t=0.063500 (6.339483e-06) L2 error at time of violation: 0.0523801 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01261-0.01151 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.01262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01262-0.01142 (0.0012) Potential Increase in error ---TVD Preserved --Testing dt=0.01263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01263-0.01133 (0.0013) Potential Increase in error ---TVD Preserved --Testing dt=0.01264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01264-0.01124 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.01265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01265-0.01115 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.01266 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01266-0.01106 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.01267 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01267-0.01097 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.01268 ---TVD Violated after 5 steps t=0.063400 (1.861570e-07) L2 error at time of violation: 0.052498 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012671-0.010961 (0.00171) Potential Increase in error ---TVD Preserved --Testing dt=0.012672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012672-0.010952 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.012673 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012673-0.010943 (0.00173) Potential Increase in error ---TVD Preserved --Testing dt=0.012674 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012674-0.010934 (0.00174) Potential Increase in error ---TVD Preserved --Testing dt=0.012675 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012675-0.010925 (0.00175) Potential Increase in error ---TVD Preserved --Testing dt=0.012676 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012676-0.010916 (0.00176) Potential Increase in error ---TVD Preserved --Testing dt=0.012677 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012677-0.010907 (0.00177) Potential Increase in error ---TVD Preserved --Testing dt=0.012678 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012678-0.010898 (0.00178) Potential Increase in error ---TVD Preserved --Testing dt=0.012679 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012679-0.010889 (0.00179) Potential Increase in error ---TVD Preserved --Testing dt=0.01268 ---TVD Violated after 5 steps t=0.063400 (1.861570e-07) L2 error at time of violation: 0.052498 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012679 Theoretial Max dt=0.039426 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 ---POS Violated after 3 steps t=0.084000 (-5.030223e-03) L2 error at time of violation: 0.106604 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.0166 (0.0105) Potential Increase in error ---POS Preserved --Testing dt=0.0272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0162 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0158 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0154 (0.012) Potential Increase in error ---POS Preserved --Testing dt=0.0275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.015 (0.0125) Potential Increase in error ---POS Preserved --Testing dt=0.0276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0146 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.0277 ---POS Violated after 4 steps t=0.110800 (-1.764577e-04) L2 error at time of violation: 0.107223 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02761-0.01456 (0.01305) Potential Increase in error ---POS Preserved --Testing dt=0.02762 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02762-0.01452 (0.0131) Potential Increase in error ---POS Preserved --Testing dt=0.02763 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02763-0.01448 (0.01315) Potential Increase in error ---POS Preserved --Testing dt=0.02764 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02764-0.01444 (0.0132) Potential Increase in error ---POS Preserved --Testing dt=0.02765 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02765-0.0144 (0.01325) Potential Increase in error ---POS Preserved --Testing dt=0.02766 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02766-0.01436 (0.0133) Potential Increase in error ---POS Preserved --Testing dt=0.02767 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02767-0.01432 (0.01335) Potential Increase in error ---POS Preserved --Testing dt=0.02768 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02768-0.01428 (0.0134) Potential Increase in error ---POS Preserved --Testing dt=0.02769 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02769-0.01424 (0.01345) Potential Increase in error ---POS Preserved --Testing dt=0.0277 ---POS Violated after 4 steps t=0.110800 (-1.764577e-04) L2 error at time of violation: 0.107223 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027691 ---POS Violated after 4 steps t=0.110764 (-9.525117e-06) L2 error at time of violation: 0.10722 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027690 Theoretial Max dt=0.039426 results_pos = max_dt: 0.0277 s: 9 k: 3 p: [] dx: 0.0100 r: 3.9426 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 3 steps t=0.021000 (1.561564e-04) L2 error at time of violation: 0.0564602 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---TVD Preserved --Testing dt=0.0068 ---TVD Violated after 3 steps t=0.020400 (8.385033e-05) L2 error at time of violation: 0.0566362 TV Norm History: 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00671-0.00422 (0.00249) Potential Increase in error ---TVD Preserved --Testing dt=0.00672 ---TVD Violated after 3 steps t=0.020160 (7.915969e-06) L2 error at time of violation: 0.0567134 TV Norm History: 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006711 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006711-0.004202 (0.002509) Potential Increase in error ---TVD Preserved --Testing dt=0.006712 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006712-0.004184 (0.002528) Potential Increase in error ---TVD Preserved --Testing dt=0.006713 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006713-0.004166 (0.002547) Potential Increase in error ---TVD Preserved --Testing dt=0.006714 ---TVD Violated after 3 steps t=0.020142 (1.458626e-06) L2 error at time of violation: 0.0567199 TV Norm History: 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006713 Theoretial Max dt=0.007994 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 4 steps t=0.060000 (-2.225607e-03) L2 error at time of violation: 0.0727803 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 ---POS Violated after 7 steps t=0.099400 (-3.672568e-03) L2 error at time of violation: 0.0616058 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01411-0.01212 (0.00199) Potential Increase in error ---POS Preserved --Testing dt=0.01412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01412-0.01204 (0.00208) Potential Increase in error ---POS Preserved --Testing dt=0.01413 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01413-0.01196 (0.00217) Potential Increase in error ---POS Preserved --Testing dt=0.01414 ---POS Violated after 7 steps t=0.098980 (-5.297914e-04) L2 error at time of violation: 0.0614148 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014131-0.011952 (0.002179) Potential Increase in error ---POS Preserved --Testing dt=0.014132 ---POS Violated after 7 steps t=0.098924 (-4.239846e-05) L2 error at time of violation: 0.0614051 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014131 Theoretial Max dt=0.007994 results_pos = max_dt: 0.0141 s: 8 k: 3 p: [] dx: 0.0100 r: 0.7994 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 5 steps t=0.070000 (3.188524e-03) L2 error at time of violation: 0.0829844 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 ---TVD Violated after 7 steps t=0.093100 (5.492757e-04) L2 error at time of violation: 0.0607993 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01321-0.00611 (0.0071) Potential Increase in error ---TVD Preserved --Testing dt=0.01322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01322-0.00602 (0.0072) Potential Increase in error ---TVD Preserved --Testing dt=0.01323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01323-0.00593 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.01324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01324-0.00584 (0.0074) Potential Increase in error ---TVD Preserved --Testing dt=0.01325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01325-0.00575 (0.0075) Potential Increase in error ---TVD Preserved --Testing dt=0.01326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01326-0.00566 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.01327 ---TVD Violated after 7 steps t=0.092890 (7.019878e-05) L2 error at time of violation: 0.0610357 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013261-0.005651 (0.00761) Potential Increase in error ---TVD Preserved --Testing dt=0.013262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013262-0.005642 (0.00762) Potential Increase in error ---TVD Preserved --Testing dt=0.013263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013263-0.005633 (0.00763) Potential Increase in error ---TVD Preserved --Testing dt=0.013264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013264-0.005624 (0.00764) Potential Increase in error ---TVD Preserved --Testing dt=0.013265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013265-0.005615 (0.00765) Potential Increase in error ---TVD Preserved --Testing dt=0.013266 ---TVD Violated after 7 steps t=0.092862 (1.623484e-06) L2 error at time of violation: 0.0610672 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013265 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 ---POS Violated after 4 steps t=0.120000 (-1.861224e-03) L2 error at time of violation: 0.136341 Refining dt search increment 0.001->0.0001 --Testing dt=0.0291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0291-0.0086 (0.0205) Potential Increase in error ---POS Preserved --Testing dt=0.0292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0292-0.0082 (0.021) Potential Increase in error ---POS Preserved --Testing dt=0.0293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0293-0.0078 (0.0215) Potential Increase in error ---POS Preserved --Testing dt=0.0294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0294-0.0074 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.0295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0295-0.007 (0.0225) Potential Increase in error ---POS Preserved --Testing dt=0.0296 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0296-0.0066 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.0297 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0297-0.0062 (0.0235) Potential Increase in error ---POS Preserved --Testing dt=0.0298 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0298-0.0058 (0.024) Potential Increase in error ---POS Preserved --Testing dt=0.0299 ---POS Violated after 4 steps t=0.119600 (-1.627270e-04) L2 error at time of violation: 0.132646 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02981-0.00576 (0.02405) Potential Increase in error ---POS Preserved --Testing dt=0.02982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02982-0.00572 (0.0241) Potential Increase in error ---POS Preserved --Testing dt=0.02983 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02983-0.00568 (0.02415) Potential Increase in error ---POS Preserved --Testing dt=0.02984 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02984-0.00564 (0.0242) Potential Increase in error ---POS Preserved --Testing dt=0.02985 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02985-0.0056 (0.02425) Potential Increase in error ---POS Preserved --Testing dt=0.02986 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02986-0.00556 (0.0243) Potential Increase in error ---POS Preserved --Testing dt=0.02987 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02987-0.00552 (0.02435) Potential Increase in error ---POS Preserved --Testing dt=0.02988 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02988-0.00548 (0.0244) Potential Increase in error ---POS Preserved --Testing dt=0.02989 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02989-0.00544 (0.02445) Potential Increase in error ---POS Preserved --Testing dt=0.0299 ---POS Violated after 4 steps t=0.119600 (-1.627270e-04) L2 error at time of violation: 0.132646 Refining dt search increment 1e-05->1e-06 --Testing dt=0.029891 ---POS Violated after 4 steps t=0.119564 (-1.197691e-05) L2 error at time of violation: 0.132651 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.029890 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0299 s: 7 k: 4 p: [] dx: 0.0100 r: 4.4835 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 9 steps t=0.054000 (3.802702e-04) L2 error at time of violation: 0.0696165 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 ---TVD Violated after 9 steps t=0.051300 (8.528447e-06) L2 error at time of violation: 0.0648792 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00561-0.00158 (0.00403) Potential Increase in error ---TVD Preserved --Testing dt=0.00562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00562-0.00136 (0.00426) Potential Increase in error ---TVD Preserved --Testing dt=0.00563 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00563-0.00114 (0.00449) Potential Increase in error ---TVD Preserved --Testing dt=0.00564 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00564-0.00092 (0.00472) Potential Increase in error ---TVD Preserved --Testing dt=0.00565 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00565-0.0007 (0.00495) Potential Increase in error ---TVD Preserved --Testing dt=0.00566 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00566-0.00048 (0.00518) Potential Increase in error ---TVD Preserved --Testing dt=0.00567 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00567-0.00026 (0.00541) Potential Increase in error ---TVD Preserved --Testing dt=0.00568 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00568-4e-05 (0.00564) Potential Increase in error ---TVD Preserved --Testing dt=0.00569 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00569-0.00551 (0.00018) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 ---TVD Violated after 9 steps t=0.051300 (8.528447e-06) L2 error at time of violation: 0.0648792 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005691-0.005489 (0.000202) Potential Increase in error ---TVD Preserved --Testing dt=0.005692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005692-0.005468 (0.000224) Potential Increase in error ---TVD Preserved --Testing dt=0.005693 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005693-0.005447 (0.000246) Potential Increase in error ---TVD Preserved --Testing dt=0.005694 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005694-0.005426 (0.000268) Potential Increase in error ---TVD Preserved --Testing dt=0.005695 ---TVD Violated after 9 steps t=0.051255 (1.074025e-06) L2 error at time of violation: 0.0649369 TV Norm History: 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005694 Theoretial Max dt=0.017193 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 10 steps t=0.120000 (-2.520792e-02) L2 error at time of violation: 0.104051 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---POS Preserved --Testing dt=0.0119 ---POS Violated after 10 steps t=0.119000 (-1.551656e-02) L2 error at time of violation: 0.102399 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01181 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01181-0.0069 (0.00491) Potential Increase in error ---POS Preserved --Testing dt=0.01182 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01182-0.0068 (0.00502) Potential Increase in error ---POS Preserved --Testing dt=0.01183 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01183-0.0067 (0.00513) Potential Increase in error ---POS Preserved --Testing dt=0.01184 ---POS Violated after 10 steps t=0.118400 (-1.130199e-03) L2 error at time of violation: 0.0999072 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011831 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011831-0.00669 (0.005141) Potential Increase in error ---POS Preserved --Testing dt=0.011832 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011832-0.00668 (0.005152) Potential Increase in error ---POS Preserved --Testing dt=0.011833 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011833-0.00667 (0.005163) Potential Increase in error ---POS Preserved --Testing dt=0.011834 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011834-0.00666 (0.005174) Potential Increase in error ---POS Preserved --Testing dt=0.011835 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011835-0.00665 (0.005185) Potential Increase in error ---POS Preserved --Testing dt=0.011836 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011836-0.00664 (0.005196) Potential Increase in error ---POS Preserved --Testing dt=0.011837 ---POS Violated after 10 steps t=0.118370 (-1.173076e-04) L2 error at time of violation: 0.0997184 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011836 Theoretial Max dt=0.017193 results_pos = max_dt: 0.0118 s: 5 k: 6 p: [] dx: 0.0100 r: 1.7193 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 8 steps t=0.048000 (2.503391e-03) L2 error at time of violation: 0.0699808 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 ---TVD Violated after 12 steps t=0.064800 (1.353760e-03) L2 error at time of violation: 0.0474602 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00531 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00531-0.00287 (0.00244) Potential Increase in error ---TVD Preserved --Testing dt=0.00532 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00532-0.00264 (0.00268) Potential Increase in error ---TVD Preserved --Testing dt=0.00533 ---TVD Violated after 12 steps t=0.063960 (2.434424e-05) L2 error at time of violation: 0.0489953 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005321 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005321-0.002617 (0.002704) Potential Increase in error ---TVD Preserved --Testing dt=0.005322 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005322-0.002594 (0.002728) Potential Increase in error ---TVD Preserved --Testing dt=0.005323 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005323-0.002571 (0.002752) Potential Increase in error ---TVD Preserved --Testing dt=0.005324 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005324-0.002548 (0.002776) Potential Increase in error ---TVD Preserved --Testing dt=0.005325 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005325-0.002525 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.005326 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005326-0.002502 (0.002824) Potential Increase in error ---TVD Preserved --Testing dt=0.005327 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005327-0.002479 (0.002848) Potential Increase in error ---TVD Preserved --Testing dt=0.005328 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005328-0.002456 (0.002872) Potential Increase in error ---TVD Preserved --Testing dt=0.005329 ---TVD Violated after 12 steps t=0.063948 (9.918871e-06) L2 error at time of violation: 0.0490139 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005328 Theoretial Max dt=0.017350 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s6k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 10 steps t=0.100000 (-2.112155e-02) L2 error at time of violation: 0.0957953 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 10 steps t=0.098000 (-3.598028e-05) L2 error at time of violation: 0.0937751 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00971-0.00848 (0.00123) Potential Increase in error ---POS Preserved --Testing dt=0.00972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00972-0.00836 (0.00136) Potential Increase in error ---POS Preserved --Testing dt=0.00973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00973-0.00824 (0.00149) Potential Increase in error ---POS Preserved --Testing dt=0.00974 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00974-0.00812 (0.00162) Potential Increase in error ---POS Preserved --Testing dt=0.00975 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00975-0.008 (0.00175) Potential Increase in error ---POS Preserved --Testing dt=0.00976 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00976-0.00788 (0.00188) Potential Increase in error ---POS Preserved --Testing dt=0.00977 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00977-0.00776 (0.00201) Potential Increase in error ---POS Preserved --Testing dt=0.00978 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00978-0.00764 (0.00214) Potential Increase in error ---POS Preserved --Testing dt=0.00979 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00979-0.00752 (0.00227) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 10 steps t=0.098000 (-3.598028e-05) L2 error at time of violation: 0.0937751 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009791-0.007508 (0.002283) Potential Increase in error ---POS Preserved --Testing dt=0.009792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009792-0.007496 (0.002296) Potential Increase in error ---POS Preserved --Testing dt=0.009793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009793-0.007484 (0.002309) Potential Increase in error ---POS Preserved --Testing dt=0.009794 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009794-0.007472 (0.002322) Potential Increase in error ---POS Preserved --Testing dt=0.009795 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009795-0.00746 (0.002335) Potential Increase in error ---POS Preserved --Testing dt=0.009796 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009796-0.007448 (0.002348) Potential Increase in error ---POS Preserved --Testing dt=0.009797 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009797-0.007436 (0.002361) Potential Increase in error ---POS Preserved --Testing dt=0.009798 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009798-0.007424 (0.002374) Potential Increase in error ---POS Preserved --Testing dt=0.009799 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009799-0.007412 (0.002387) Potential Increase in error ---POS Preserved --Testing dt=0.0098 ---POS Violated after 10 steps t=0.098000 (-3.598028e-05) L2 error at time of violation: 0.0937751 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009799 Theoretial Max dt=0.017350 results_pos = max_dt: 0.0098 s: 3 k: 6 p: [] dx: 0.0100 r: 1.7350 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 5 steps t=0.085000 (1.634747e-02) L2 error at time of violation: 0.0250301 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0166 ---TVD Violated after 6 steps t=0.099600 (4.007884e-03) L2 error at time of violation: 0.0252505 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01651-0.00943 (0.00708) Potential Increase in error ---TVD Preserved --Testing dt=0.01652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01652-0.00936 (0.00716) Potential Increase in error ---TVD Preserved --Testing dt=0.01653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01653-0.00929 (0.00724) Potential Increase in error ---TVD Preserved --Testing dt=0.01654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01654-0.00922 (0.00732) Potential Increase in error ---TVD Preserved --Testing dt=0.01655 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01655-0.00915 (0.0074) Potential Increase in error ---TVD Preserved --Testing dt=0.01656 ---TVD Violated after 6 steps t=0.099360 (4.195520e-04) L2 error at time of violation: 0.0248086 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016551 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016551-0.009143 (0.007408) Potential Increase in error ---TVD Preserved --Testing dt=0.016552 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016552-0.009136 (0.007416) Potential Increase in error ---TVD Preserved --Testing dt=0.016553 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016553-0.009129 (0.007424) Potential Increase in error ---TVD Preserved --Testing dt=0.016554 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016554-0.009122 (0.007432) Potential Increase in error ---TVD Preserved --Testing dt=0.016555 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016555-0.009115 (0.00744) Potential Increase in error ---TVD Preserved --Testing dt=0.016556 ---TVD Violated after 6 steps t=0.099336 (5.570836e-05) L2 error at time of violation: 0.0247685 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016555 Theoretial Max dt=0.044921 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 ---POS Violated after 4 steps t=0.104000 (-1.252912e-02) L2 error at time of violation: 0.0766202 Refining dt search increment 0.001->0.0001 --Testing dt=0.0251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0251-0.0246 (0.0005) Potential Increase in error ---POS Preserved --Testing dt=0.0252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0252-0.0242 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0253-0.0238 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0254-0.0234 (0.002) Potential Increase in error ---POS Preserved --Testing dt=0.0255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0255-0.023 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0256 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0256-0.0226 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0257 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0257-0.0222 (0.0035) Potential Increase in error ---POS Preserved --Testing dt=0.0258 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0258-0.0218 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0259 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0259-0.0214 (0.0045) Potential Increase in error ---POS Preserved --Testing dt=0.026 ---POS Violated after 4 steps t=0.104000 (-1.252912e-02) L2 error at time of violation: 0.0766202 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02591 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02591-0.02136 (0.00455) Potential Increase in error ---POS Preserved --Testing dt=0.02592 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02592-0.02132 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.02593 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02593-0.02128 (0.00465) Potential Increase in error ---POS Preserved --Testing dt=0.02594 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02594-0.02124 (0.0047) Potential Increase in error ---POS Preserved --Testing dt=0.02595 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02595-0.0212 (0.00475) Potential Increase in error ---POS Preserved --Testing dt=0.02596 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02596-0.02116 (0.0048) Potential Increase in error ---POS Preserved --Testing dt=0.02597 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02597-0.02112 (0.00485) Potential Increase in error ---POS Preserved --Testing dt=0.02598 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02598-0.02108 (0.0049) Potential Increase in error ---POS Preserved --Testing dt=0.02599 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02599-0.02104 (0.00495) Potential Increase in error ---POS Preserved --Testing dt=0.026 ---POS Violated after 4 steps t=0.104000 (-1.252912e-02) L2 error at time of violation: 0.0766202 Refining dt search increment 1e-05->1e-06 --Testing dt=0.025991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025991-0.021036 (0.004955) Potential Increase in error ---POS Preserved --Testing dt=0.025992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025992-0.021032 (0.00496) Potential Increase in error ---POS Preserved --Testing dt=0.025993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025993-0.021028 (0.004965) Potential Increase in error ---POS Preserved --Testing dt=0.025994 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025994-0.021024 (0.00497) Potential Increase in error ---POS Preserved --Testing dt=0.025995 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025995-0.02102 (0.004975) Potential Increase in error ---POS Preserved --Testing dt=0.025996 ---POS Violated after 4 steps t=0.103984 (-1.565396e-03) L2 error at time of violation: 0.0759288 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.025995 Theoretial Max dt=0.044921 results_pos = max_dt: 0.0260 s: 8 k: 2 p: [] dx: 0.0100 r: 4.4921 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 6 steps t=0.066000 (6.802685e-03) L2 error at time of violation: 0.105932 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---TVD Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0107 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0107-0.0073 (0.0034) Potential Increase in error ---TVD Preserved --Testing dt=0.0108 ---TVD Violated after 6 steps t=0.064800 (9.677340e-04) L2 error at time of violation: 0.105934 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01071-0.00719 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.01072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01072-0.00708 (0.00364) Potential Increase in error ---TVD Preserved --Testing dt=0.01073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01073-0.00697 (0.00376) Potential Increase in error ---TVD Preserved --Testing dt=0.01074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01074-0.00686 (0.00388) Potential Increase in error ---TVD Preserved --Testing dt=0.01075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01075-0.00675 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.01076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01076-0.00664 (0.00412) Potential Increase in error ---TVD Preserved --Testing dt=0.01077 ---TVD Violated after 6 steps t=0.064620 (7.540942e-05) L2 error at time of violation: 0.105934 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010761-0.006629 (0.004132) Potential Increase in error ---TVD Preserved --Testing dt=0.010762 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010762-0.006618 (0.004144) Potential Increase in error ---TVD Preserved --Testing dt=0.010763 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010763-0.006607 (0.004156) Potential Increase in error ---TVD Preserved --Testing dt=0.010764 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010764-0.006596 (0.004168) Potential Increase in error ---TVD Preserved --Testing dt=0.010765 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010765-0.006585 (0.00418) Potential Increase in error ---TVD Preserved --Testing dt=0.010766 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010766-0.006574 (0.004192) Potential Increase in error ---TVD Preserved --Testing dt=0.010767 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010767-0.006563 (0.004204) Potential Increase in error ---TVD Preserved --Testing dt=0.010768 ---TVD Violated after 6 steps t=0.064608 (1.576171e-05) L2 error at time of violation: 0.105935 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010767 Theoretial Max dt=0.031576 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s6k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.156000 (-2.479556e-01) L2 error at time of violation: 0.178292 Refining dt search increment 0.001->0.0001 --Testing dt=0.0251 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.150600 (-1.761766e-01) L2 error at time of violation: 0.170306 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02501 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.150060 (-1.697262e-01) L2 error at time of violation: 0.169734 Refining dt search increment 1e-05->1e-06 --Testing dt=0.025001 Skip value (5*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.225000 ---POS Violated after 6 steps t=0.150006 (-1.690886e-01) L2 error at time of violation: 0.169679 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.025000 Theoretial Max dt=0.031576 results_pos = max_dt: 0.0250 s: 9 k: 6 p: [] dx: 0.0100 r: 3.1576 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 6 steps t=0.018000 (3.597430e-02) L2 error at time of violation: 0.0333606 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0024-0.0002 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0025 ---TVD Preserved --Testing dt=0.0026 ---TVD Violated after 6 steps t=0.015600 (3.512603e-03) L2 error at time of violation: 0.0357674 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00251 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00251-0.00201 (0.0005) Potential Increase in error ---TVD Preserved --Testing dt=0.00252 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00252-0.00152 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.00253 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00253-0.00103 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.00254 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00254-0.00054 (0.002) Potential Increase in error ---TVD Preserved --Testing dt=0.00255 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00255-5e-05 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.00256 ---TVD Violated after 6 steps t=0.015360 (1.563587e-04) L2 error at time of violation: 0.0356972 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002551 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002551-1e-06 (0.00255) Potential Increase in error ---TVD Preserved --Testing dt=0.002552 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002552-0.002504 (4.8e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.002553 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002553-0.002456 (9.7e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.002554 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002554-0.002408 (0.000146) Potential Increase in error ---TVD Preserved --Testing dt=0.002555 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002555-0.00236 (0.000195) Potential Increase in error ---TVD Preserved --Testing dt=0.002556 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002556-0.002312 (0.000244) Potential Increase in error ---TVD Preserved --Testing dt=0.002557 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002557-0.002264 (0.000293) Potential Increase in error ---TVD Preserved --Testing dt=0.002558 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002558-0.002216 (0.000342) Potential Increase in error ---TVD Preserved --Testing dt=0.002559 ---TVD Violated after 6 steps t=0.015354 (6.989345e-05) L2 error at time of violation: 0.0356957 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002558 Theoretial Max dt=0.000574 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k9pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 ---POS Violated after 4 steps t=0.016000 (-4.293922e-03) L2 error at time of violation: 0.0416278 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0035-0.0025 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0036-0.0026 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0037-0.0029 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0038-0.0034 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0039-0.0002 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.004 ---POS Violated after 4 steps t=0.016000 (-4.293922e-03) L2 error at time of violation: 0.0416278 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00391-0.00379 (0.00012) Potential Increase in error ---POS Preserved --Testing dt=0.00392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00392-0.00348 (0.00044) Potential Increase in error ---POS Preserved --Testing dt=0.00393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00393-0.00317 (0.00076) Potential Increase in error ---POS Preserved --Testing dt=0.00394 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00394-0.00286 (0.00108) Potential Increase in error ---POS Preserved --Testing dt=0.00395 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00395-0.00255 (0.0014) Potential Increase in error ---POS Preserved --Testing dt=0.00396 ---POS Violated after 4 steps t=0.015840 (-6.809302e-04) L2 error at time of violation: 0.0415578 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003951-0.002519 (0.001432) Potential Increase in error ---POS Preserved --Testing dt=0.003952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003952-0.002488 (0.001464) Potential Increase in error ---POS Preserved --Testing dt=0.003953 ---POS Violated after 4 steps t=0.015812 (-5.749174e-05) L2 error at time of violation: 0.0415471 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003952 Theoretial Max dt=0.000574 results_pos = max_dt: 0.0040 s: 8 k: 4 p: [] dx: 0.0100 r: 0.0574 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 6 steps t=0.042000 (2.098483e-03) L2 error at time of violation: 0.0720477 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 ---TVD Violated after 12 steps t=0.074400 (3.249470e-03) L2 error at time of violation: 0.0458475 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00611 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00611-0.0028 (0.00331) Potential Increase in error ---TVD Preserved --Testing dt=0.00612 ---TVD Violated after 11 steps t=0.067320 (7.828975e-04) L2 error at time of violation: 0.0504366 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006111-0.00278 (0.003331) Potential Increase in error ---TVD Preserved --Testing dt=0.006112 ---TVD Violated after 11 steps t=0.067232 (4.749282e-05) L2 error at time of violation: 0.0506309 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006111 Theoretial Max dt=0.020230 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 7 steps t=0.091000 (-2.848269e-02) L2 error at time of violation: 0.0989495 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---POS Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---POS Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---POS Preserved --Testing dt=0.0125 ---POS Preserved --Testing dt=0.0126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0126-0.0116 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0127 ---POS Violated after 9 steps t=0.114300 (-3.485338e-02) L2 error at time of violation: 0.102403 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01261 ---POS Violated after 9 steps t=0.113490 (-5.315802e-03) L2 error at time of violation: 0.0973926 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012601-0.011591 (0.00101) Potential Increase in error ---POS Preserved --Testing dt=0.012602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012602-0.011582 (0.00102) Potential Increase in error ---POS Preserved --Testing dt=0.012603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012603-0.011573 (0.00103) Potential Increase in error ---POS Preserved --Testing dt=0.012604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012604-0.011564 (0.00104) Potential Increase in error ---POS Preserved --Testing dt=0.012605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012605-0.011555 (0.00105) Potential Increase in error ---POS Preserved --Testing dt=0.012606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012606-0.011546 (0.00106) Potential Increase in error ---POS Preserved --Testing dt=0.012607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012607-0.011537 (0.00107) Potential Increase in error ---POS Preserved --Testing dt=0.012608 ---POS Violated after 9 steps t=0.113472 (-1.603597e-03) L2 error at time of violation: 0.0969501 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012607 Theoretial Max dt=0.020230 results_pos = max_dt: 0.0126 s: 5 k: 5 p: [] dx: 0.0100 r: 2.0230 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 4 steps t=0.044000 (1.667710e-03) L2 error at time of violation: 0.0536321 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0103-0.0014 (0.0089) Potential Increase in error ---TVD Preserved --Testing dt=0.0104 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0104-0.0002 (0.0102) Potential Increase in error ---TVD Preserved --Testing dt=0.0105 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0105-0.0095 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0106 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0106-0.0084 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0107 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0107-0.0073 (0.0034) Potential Increase in error ---TVD Preserved --Testing dt=0.0108 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0108-0.0062 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0109 ---TVD Violated after 5 steps t=0.054500 (1.342698e-04) L2 error at time of violation: 0.0483909 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01081-0.00609 (0.00472) Potential Increase in error ---TVD Preserved --Testing dt=0.01082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01082-0.00598 (0.00484) Potential Increase in error ---TVD Preserved --Testing dt=0.01083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01083-0.00587 (0.00496) Potential Increase in error ---TVD Preserved --Testing dt=0.01084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01084-0.00576 (0.00508) Potential Increase in error ---TVD Preserved --Testing dt=0.01085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01085-0.00565 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.01086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01086-0.00554 (0.00532) Potential Increase in error ---TVD Preserved --Testing dt=0.01087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01087-0.00543 (0.00544) Potential Increase in error ---TVD Preserved --Testing dt=0.01088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01088-0.00532 (0.00556) Potential Increase in error ---TVD Preserved --Testing dt=0.01089 ---TVD Violated after 5 steps t=0.054450 (1.878265e-05) L2 error at time of violation: 0.0484716 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010881 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010881-0.005309 (0.005572) Potential Increase in error ---TVD Preserved --Testing dt=0.010882 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010882-0.005298 (0.005584) Potential Increase in error ---TVD Preserved --Testing dt=0.010883 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010883-0.005287 (0.005596) Potential Increase in error ---TVD Preserved --Testing dt=0.010884 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010884-0.005276 (0.005608) Potential Increase in error ---TVD Preserved --Testing dt=0.010885 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010885-0.005265 (0.00562) Potential Increase in error ---TVD Preserved --Testing dt=0.010886 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010886-0.005254 (0.005632) Potential Increase in error ---TVD Preserved --Testing dt=0.010887 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010887-0.005243 (0.005644) Potential Increase in error ---TVD Preserved --Testing dt=0.010888 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010888-0.005232 (0.005656) Potential Increase in error ---TVD Preserved --Testing dt=0.010889 ---TVD Violated after 5 steps t=0.054445 (3.263037e-06) L2 error at time of violation: 0.0484797 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010888 Theoretial Max dt=0.030728 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 6 steps t=0.120000 (-2.194243e-02) L2 error at time of violation: 0.0988986 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 ---POS Violated after 6 steps t=0.115800 (-2.168140e-04) L2 error at time of violation: 0.0953944 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01921-0.00974 (0.00947) Potential Increase in error ---POS Preserved --Testing dt=0.01922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01922-0.00968 (0.00954) Potential Increase in error ---POS Preserved --Testing dt=0.01923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01923-0.00962 (0.00961) Potential Increase in error ---POS Preserved --Testing dt=0.01924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01924-0.00956 (0.00968) Potential Increase in error ---POS Preserved --Testing dt=0.01925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01925-0.0095 (0.00975) Potential Increase in error ---POS Preserved --Testing dt=0.01926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01926-0.00944 (0.00982) Potential Increase in error ---POS Preserved --Testing dt=0.01927 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01927-0.00938 (0.00989) Potential Increase in error ---POS Preserved --Testing dt=0.01928 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01928-0.00932 (0.00996) Potential Increase in error ---POS Preserved --Testing dt=0.01929 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01929-0.00926 (0.01003) Potential Increase in error ---POS Preserved --Testing dt=0.0193 ---POS Violated after 6 steps t=0.115800 (-2.168140e-04) L2 error at time of violation: 0.0953944 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019291 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019291-0.009254 (0.010037) Potential Increase in error ---POS Preserved --Testing dt=0.019292 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019292-0.009248 (0.010044) Potential Increase in error ---POS Preserved --Testing dt=0.019293 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019293-0.009242 (0.010051) Potential Increase in error ---POS Preserved --Testing dt=0.019294 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019294-0.009236 (0.010058) Potential Increase in error ---POS Preserved --Testing dt=0.019295 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019295-0.00923 (0.010065) Potential Increase in error ---POS Preserved --Testing dt=0.019296 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019296-0.009224 (0.010072) Potential Increase in error ---POS Preserved --Testing dt=0.019297 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019297-0.009218 (0.010079) Potential Increase in error ---POS Preserved --Testing dt=0.019298 ---POS Violated after 6 steps t=0.115788 (-4.196633e-05) L2 error at time of violation: 0.0953844 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019297 Theoretial Max dt=0.030728 results_pos = max_dt: 0.0193 s: 6 k: 3 p: [] dx: 0.0100 r: 3.0728 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 ---TVD Violated after 2 steps t=0.026000 (1.276698e-02) L2 error at time of violation: 0.0402351 TV Norm History: 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 ---TVD Violated after 8 steps t=0.096800 (7.486245e-05) L2 error at time of violation: 0.0226284 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01201-0.0049 (0.00711) Potential Increase in error ---TVD Preserved --Testing dt=0.01202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01202-0.0048 (0.00722) Potential Increase in error ---TVD Preserved --Testing dt=0.01203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01203-0.0047 (0.00733) Potential Increase in error ---TVD Preserved --Testing dt=0.01204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01204-0.0046 (0.00744) Potential Increase in error ---TVD Preserved --Testing dt=0.01205 ---TVD Violated after 8 steps t=0.096400 (2.889131e-04) L2 error at time of violation: 0.0232745 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012041-0.00459 (0.007451) Potential Increase in error ---TVD Preserved --Testing dt=0.012042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012042-0.00458 (0.007462) Potential Increase in error ---TVD Preserved --Testing dt=0.012043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012043-0.00457 (0.007473) Potential Increase in error ---TVD Preserved --Testing dt=0.012044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012044-0.00456 (0.007484) Potential Increase in error ---TVD Preserved --Testing dt=0.012045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012045-0.00455 (0.007495) Potential Increase in error ---TVD Preserved --Testing dt=0.012046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012046-0.00454 (0.007506) Potential Increase in error ---TVD Preserved --Testing dt=0.012047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012047-0.00453 (0.007517) Potential Increase in error ---TVD Preserved --Testing dt=0.012048 ---TVD Violated after 8 steps t=0.096384 (2.911954e-05) L2 error at time of violation: 0.0232691 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012047 Theoretial Max dt=0.019384 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 ---POS Violated after 3 steps t=0.072000 (-7.073132e-03) L2 error at time of violation: 0.0829158 Refining dt search increment 0.001->0.0001 --Testing dt=0.0231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0231-0.0095 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0232-0.009 (0.0142) Potential Increase in error ---POS Preserved --Testing dt=0.0233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0233-0.0085 (0.0148) Potential Increase in error ---POS Preserved --Testing dt=0.0234 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0234-0.008 (0.0154) Potential Increase in error ---POS Preserved --Testing dt=0.0235 ---POS Violated after 5 steps t=0.117500 (-5.528577e-02) L2 error at time of violation: 0.0805705 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02341 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02341-0.00795 (0.01546) Potential Increase in error ---POS Preserved --Testing dt=0.02342 ---POS Violated after 5 steps t=0.117100 (-3.356809e-03) L2 error at time of violation: 0.0762194 Refining dt search increment 1e-05->1e-06 --Testing dt=0.023411 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023411-0.007945 (0.015466) Potential Increase in error ---POS Preserved --Testing dt=0.023412 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023412-0.00794 (0.015472) Potential Increase in error ---POS Preserved --Testing dt=0.023413 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023413-0.007935 (0.015478) Potential Increase in error ---POS Preserved --Testing dt=0.023414 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023414-0.00793 (0.015484) Potential Increase in error ---POS Preserved --Testing dt=0.023415 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023415-0.007925 (0.01549) Potential Increase in error ---POS Preserved --Testing dt=0.023416 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023416-0.00792 (0.015496) Potential Increase in error ---POS Preserved --Testing dt=0.023417 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023417-0.007915 (0.015502) Potential Increase in error ---POS Preserved --Testing dt=0.023418 ---POS Violated after 5 steps t=0.117090 (-2.094150e-04) L2 error at time of violation: 0.0760522 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.023417 Theoretial Max dt=0.019384 results_pos = max_dt: 0.0234 s: 8 k: 2 p: [] dx: 0.0100 r: 1.9384 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 2 steps t=0.024000 (9.062707e-04) L2 error at time of violation: 0.0425993 TV Norm History: 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0117-0.008 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0118 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0118-0.007 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.0119 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0119-0.006 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 2 steps t=0.024000 (9.062707e-04) L2 error at time of violation: 0.0425993 TV Norm History: 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01191-0.0059 (0.00601) Potential Increase in error ---TVD Preserved --Testing dt=0.01192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01192-0.0058 (0.00612) Potential Increase in error ---TVD Preserved --Testing dt=0.01193 ---TVD Violated after 5 steps t=0.059650 (1.289225e-08) L2 error at time of violation: 0.0230091 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011921-0.00579 (0.006131) Potential Increase in error ---TVD Preserved --Testing dt=0.011922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011922-0.00578 (0.006142) Potential Increase in error ---TVD Preserved --Testing dt=0.011923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011923-0.00577 (0.006153) Potential Increase in error ---TVD Preserved --Testing dt=0.011924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011924-0.00576 (0.006164) Potential Increase in error ---TVD Preserved --Testing dt=0.011925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011925-0.00575 (0.006175) Potential Increase in error ---TVD Preserved --Testing dt=0.011926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011926-0.00574 (0.006186) Potential Increase in error ---TVD Preserved --Testing dt=0.011927 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011927-0.00573 (0.006197) Potential Increase in error ---TVD Preserved --Testing dt=0.011928 ---TVD Violated after 5 steps t=0.059640 (1.677486e-09) L2 error at time of violation: 0.0230104 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011927 Theoretial Max dt=0.035794 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s2k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 2 steps t=0.050000 (-1.557654e-02) L2 error at time of violation: 0.066624 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 2 steps t=0.048600 (-1.679597e-03) L2 error at time of violation: 0.0653632 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 ---POS Violated after 2 steps t=0.048420 (-1.111239e-04) L2 error at time of violation: 0.0652482 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024201-0.003995 (0.020206) Potential Increase in error ---POS Preserved --Testing dt=0.024202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024202-0.00399 (0.020212) Potential Increase in error ---POS Preserved --Testing dt=0.024203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024203-0.003985 (0.020218) Potential Increase in error ---POS Preserved --Testing dt=0.024204 ---POS Violated after 2 steps t=0.048408 (-8.817777e-06) L2 error at time of violation: 0.0652411 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024203 Theoretial Max dt=0.035794 results_pos = max_dt: 0.0242 s: 8 k: 2 p: [] dx: 0.0100 r: 3.5794 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.152000 (2.711153e-03) L2 error at time of violation: 0.172054 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0181 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.144800 (4.031679e-04) L2 error at time of violation: 0.168378 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01801 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.144080 (3.580645e-04) L2 error at time of violation: 0.168324 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.018001 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 ---TVD Violated after 8 steps t=0.144008 (3.532571e-04) L2 error at time of violation: 0.168319 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.018000 Theoretial Max dt=0.060498 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s8k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.198000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.008 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.02 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.209000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.009 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.021 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.220000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.01 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.022 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.231000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.011 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.023 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.242000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.012 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.024 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.253000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.013 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.025 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.264000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.025-0.014 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.026 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.275000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.015 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.027 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.286000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.016 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.028 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.297000 ---POS Violated after 8 steps t=0.224000 (-1.627588e-03) L2 error at time of violation: 0.211182 Refining dt search increment 0.001->0.0001 --Testing dt=0.0271 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.297000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0271-0.026 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0272 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.298100 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0272-0.0261 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0273 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.299200 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0273-0.0262 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0274 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.300300 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0274-0.0263 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0275 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.301400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0275-0.0264 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0276 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.302500 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0276-0.0265 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0277 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.303600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0277-0.0266 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0278 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.304700 ---POS Violated after 8 steps t=0.222400 (-2.004368e-04) L2 error at time of violation: 0.210914 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02771 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.304700 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02771-0.0276 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02772 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.304810 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02772-0.02761 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02773 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.304920 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02773-0.02762 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02774 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.305030 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02774-0.02763 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02775 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.305140 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02775-0.02764 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02776 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.305250 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02776-0.02765 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02777 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.305360 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02777-0.02766 (0.00011) Potential Increase in error ---POS Preserved --Testing dt=0.02778 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.305470 ---POS Violated after 8 steps t=0.222240 (-5.971009e-05) L2 error at time of violation: 0.210896 Refining dt search increment 1e-05->1e-06 --Testing dt=0.027771 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.305470 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027771-0.02776 (1.1e-05) Potential Increase in error ---POS Preserved --Testing dt=0.027772 Skip value (7*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.305481 ---POS Violated after 8 steps t=0.222176 (-3.516360e-06) L2 error at time of violation: 0.210888 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.027771 Theoretial Max dt=0.060498 results_pos = max_dt: 0.0278 s: 9 k: 8 p: [] dx: 0.0100 r: 6.0498 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 11 steps t=0.088000 (1.955124e-09) L2 error at time of violation: 0.0299925 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0074-0.0066 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0075 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0075-0.005 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0076 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0076-0.0034 (0.0042) Potential Increase in error ---TVD Preserved --Testing dt=0.0077 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0077-0.0018 (0.0059) Potential Increase in error ---TVD Preserved --Testing dt=0.0078 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0078-0.0002 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0079 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0079-0.0065 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 11 steps t=0.088000 (1.955124e-09) L2 error at time of violation: 0.0299925 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00791-0.00635 (0.00156) Potential Increase in error ---TVD Preserved --Testing dt=0.00792 ---TVD Violated after 11 steps t=0.087120 (7.524603e-11) L2 error at time of violation: 0.0319658 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007911-0.006335 (0.001576) Potential Increase in error ---TVD Preserved --Testing dt=0.007912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007912-0.00632 (0.001592) Potential Increase in error ---TVD Preserved --Testing dt=0.007913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007913-0.006305 (0.001608) Potential Increase in error ---TVD Preserved --Testing dt=0.007914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007914-0.00629 (0.001624) Potential Increase in error ---TVD Preserved --Testing dt=0.007915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007915-0.006275 (0.00164) Potential Increase in error ---TVD Preserved --Testing dt=0.007916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007916-0.00626 (0.001656) Potential Increase in error ---TVD Preserved --Testing dt=0.007917 ---TVD Violated after 11 steps t=0.087087 (1.165823e-11) L2 error at time of violation: 0.0320535 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007916 Theoretial Max dt=0.021517 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 5 steps t=0.080000 (-5.710095e-03) L2 error at time of violation: 0.091026 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0154-0.0018 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0155 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0155-0.001 (0.0145) Potential Increase in error ---POS Preserved --Testing dt=0.0156 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0156-0.0002 (0.0154) Potential Increase in error ---POS Preserved --Testing dt=0.0157 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0157-0.0151 (0.0006) Potential Increase in error ---POS Preserved --Testing dt=0.0158 ---POS Violated after 5 steps t=0.079000 (-1.228479e-03) L2 error at time of violation: 0.084996 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01571 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01571-0.01503 (0.00068) Potential Increase in error ---POS Preserved --Testing dt=0.01572 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01572-0.01496 (0.00076) Potential Increase in error ---POS Preserved --Testing dt=0.01573 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01573-0.01489 (0.00084) Potential Increase in error ---POS Preserved --Testing dt=0.01574 ---POS Violated after 5 steps t=0.078700 (-1.011040e-05) L2 error at time of violation: 0.0849605 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015731 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015731-0.014883 (0.000848) Potential Increase in error ---POS Preserved --Testing dt=0.015732 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015732-0.014876 (0.000856) Potential Increase in error ---POS Preserved --Testing dt=0.015733 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015733-0.014869 (0.000864) Potential Increase in error ---POS Preserved --Testing dt=0.015734 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015734-0.014862 (0.000872) Potential Increase in error ---POS Preserved --Testing dt=0.015735 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015735-0.014855 (0.00088) Potential Increase in error ---POS Preserved --Testing dt=0.015736 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015736-0.014848 (0.000888) Potential Increase in error ---POS Preserved --Testing dt=0.015737 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015737-0.014841 (0.000896) Potential Increase in error ---POS Preserved --Testing dt=0.015738 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015738-0.014834 (0.000904) Potential Increase in error ---POS Preserved --Testing dt=0.015739 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015739-0.014827 (0.000912) Potential Increase in error ---POS Preserved --Testing dt=0.01574 ---POS Violated after 5 steps t=0.078700 (-1.011040e-05) L2 error at time of violation: 0.0849605 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015739 Theoretial Max dt=0.021517 results_pos = max_dt: 0.0157 s: 10 k: 4 p: [] dx: 0.0100 r: 2.1517 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 ---TVD Violated after 6 steps t=0.024000 (3.230336e-03) L2 error at time of violation: 0.0350781 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0031-0.001 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0032-0.0002 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0033-0.0029 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0034-0.0026 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.0035 ---TVD Violated after 14 steps t=0.049000 (5.697905e-08) L2 error at time of violation: 0.0174172 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00341 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00341-0.00224 (0.00117) Potential Increase in error ---TVD Preserved --Testing dt=0.00342 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00342-0.00188 (0.00154) Potential Increase in error ---TVD Preserved --Testing dt=0.00343 ---TVD Violated after 25 steps t=0.085750 (8.828493e-13) L2 error at time of violation: 0.0219914 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.003421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003421-0.001844 (0.001577) Potential Increase in error ---TVD Preserved --Testing dt=0.003422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003422-0.001808 (0.001614) Potential Increase in error ---TVD Preserved --Testing dt=0.003423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003423-0.001772 (0.001651) Potential Increase in error ---TVD Preserved --Testing dt=0.003424 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003424-0.001736 (0.001688) Potential Increase in error ---TVD Preserved --Testing dt=0.003425 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003425-0.0017 (0.001725) Potential Increase in error ---TVD Preserved --Testing dt=0.003426 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003426-0.001664 (0.001762) Potential Increase in error ---TVD Preserved --Testing dt=0.003427 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003427-0.001628 (0.001799) Potential Increase in error ---TVD Preserved --Testing dt=0.003428 ---TVD Violated after 25 steps t=0.085700 (3.474998e-13) L2 error at time of violation: 0.0217905 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.003427 Theoretial Max dt=0.010009 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 4 steps t=0.028000 (-5.134068e-03) L2 error at time of violation: 0.0612887 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0067-0.0044 (0.0023) Potential Increase in error ---POS Preserved --Testing dt=0.0068 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0068-0.0026 (0.0042) Potential Increase in error ---POS Preserved --Testing dt=0.0069 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0069-0.0008 (0.0061) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 4 steps t=0.028000 (-5.134068e-03) L2 error at time of violation: 0.0612887 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00691-0.00062 (0.00629) Potential Increase in error ---POS Preserved --Testing dt=0.00692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00692-0.00044 (0.00648) Potential Increase in error ---POS Preserved --Testing dt=0.00693 ---POS Violated after 4 steps t=0.027720 (-1.292785e-04) L2 error at time of violation: 0.0613332 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006921 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006921-0.000422 (0.006499) Potential Increase in error ---POS Preserved --Testing dt=0.006922 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006922-0.000404 (0.006518) Potential Increase in error ---POS Preserved --Testing dt=0.006923 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006923-0.000386 (0.006537) Potential Increase in error ---POS Preserved --Testing dt=0.006924 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006924-0.000368 (0.006556) Potential Increase in error ---POS Preserved --Testing dt=0.006925 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006925-0.00035 (0.006575) Potential Increase in error ---POS Preserved --Testing dt=0.006926 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006926-0.000332 (0.006594) Potential Increase in error ---POS Preserved --Testing dt=0.006927 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006927-0.000314 (0.006613) Potential Increase in error ---POS Preserved --Testing dt=0.006928 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006928-0.000296 (0.006632) Potential Increase in error ---POS Preserved --Testing dt=0.006929 ---POS Violated after 4 steps t=0.027716 (-5.951937e-05) L2 error at time of violation: 0.0613339 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006928 Theoretial Max dt=0.010009 results_pos = max_dt: 0.0069 s: 3 k: 4 p: [] dx: 0.0100 r: 1.0009 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 7 steps t=0.119000 (2.180850e-04) L2 error at time of violation: 0.101304 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0167-0.0081 (0.0086) Potential Increase in error ---TVD Preserved --Testing dt=0.0168 ---TVD Violated after 7 steps t=0.117600 (7.688058e-05) L2 error at time of violation: 0.102188 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01671-0.00803 (0.00868) Potential Increase in error ---TVD Preserved --Testing dt=0.01672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01672-0.00796 (0.00876) Potential Increase in error ---TVD Preserved --Testing dt=0.01673 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01673-0.00789 (0.00884) Potential Increase in error ---TVD Preserved --Testing dt=0.01674 ---TVD Violated after 7 steps t=0.117180 (8.584565e-06) L2 error at time of violation: 0.102183 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016731 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016731-0.007883 (0.008848) Potential Increase in error ---TVD Preserved --Testing dt=0.016732 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016732-0.007876 (0.008856) Potential Increase in error ---TVD Preserved --Testing dt=0.016733 ---TVD Violated after 7 steps t=0.117131 (1.398095e-07) L2 error at time of violation: 0.102183 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016732 Theoretial Max dt=0.060498 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 6 steps t=0.198000 (-6.428000e-03) L2 error at time of violation: 0.158642 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0321-0.0313 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0322 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256800 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0322-0.0314 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0323 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.257600 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0323-0.0315 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0324 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.258400 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0324-0.0316 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0325 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.259200 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0325-0.0317 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0326 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260000 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0326-0.0318 (0.0008) Potential Increase in error ---POS Preserved --Testing dt=0.0327 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260800 ---POS Violated after 6 steps t=0.196200 (-1.831768e-03) L2 error at time of violation: 0.15834 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03261 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260800 ---POS Violated after 6 steps t=0.195660 (-1.190333e-04) L2 error at time of violation: 0.158243 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032601 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260800 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032601-0.032593 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032602 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260808 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032602-0.032594 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032603 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260816 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032603-0.032595 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032604 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260824 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032604-0.032596 (8e-06) Potential Increase in error ---POS Preserved --Testing dt=0.032605 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.260832 ---POS Violated after 6 steps t=0.195630 (-1.628589e-05) L2 error at time of violation: 0.158237 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032604 Theoretial Max dt=0.060498 results_pos = max_dt: 0.0326 s: 9 k: 5 p: [] dx: 0.0100 r: 6.0498 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 ---TVD Violated after 6 steps t=0.048000 (2.829603e-05) L2 error at time of violation: 0.060879 TV Norm History: 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0071 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0071-0.0043 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0072 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0072-0.0026 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0073 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0073-0.0009 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0074 ---TVD Violated after 8 steps t=0.059200 (1.067550e-06) L2 error at time of violation: 0.0419175 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00731 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00731-0.00073 (0.00658) Potential Increase in error ---TVD Preserved --Testing dt=0.00732 ---TVD Violated after 8 steps t=0.058560 (1.064508e-07) L2 error at time of violation: 0.0436396 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.007311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007311-0.000713 (0.006598) Potential Increase in error ---TVD Preserved --Testing dt=0.007312 ---TVD Violated after 8 steps t=0.058496 (1.081816e-09) L2 error at time of violation: 0.0438165 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.007311 Theoretial Max dt=0.022814 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 ---POS Violated after 4 steps t=0.064000 (-8.921538e-03) L2 error at time of violation: 0.0973663 Refining dt search increment 0.001->0.0001 --Testing dt=0.0151 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0151-0.0042 (0.0109) Potential Increase in error ---POS Preserved --Testing dt=0.0152 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0152-0.0034 (0.0118) Potential Increase in error ---POS Preserved --Testing dt=0.0153 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0153-0.0026 (0.0127) Potential Increase in error ---POS Preserved --Testing dt=0.0154 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0154-0.0018 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0155 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0155-0.001 (0.0145) Potential Increase in error ---POS Preserved --Testing dt=0.0156 ---POS Violated after 4 steps t=0.062400 (-1.511098e-03) L2 error at time of violation: 0.0970889 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01551 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01551-0.00092 (0.01459) Potential Increase in error ---POS Preserved --Testing dt=0.01552 ---POS Violated after 4 steps t=0.062080 (-1.228587e-04) L2 error at time of violation: 0.0970519 Refining dt search increment 1e-05->1e-06 --Testing dt=0.015511 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015511-0.000912 (0.014599) Potential Increase in error ---POS Preserved --Testing dt=0.015512 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015512-0.000904 (0.014608) Potential Increase in error ---POS Preserved --Testing dt=0.015513 ---POS Violated after 4 steps t=0.062052 (-2.777533e-06) L2 error at time of violation: 0.0970489 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.015512 Theoretial Max dt=0.022814 results_pos = max_dt: 0.0155 s: 8 k: 4 p: [] dx: 0.0100 r: 2.2814 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 5 steps t=0.045000 (2.298677e-02) L2 error at time of violation: 0.0808451 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 ---TVD Violated after 5 steps t=0.041500 (4.136838e-04) L2 error at time of violation: 0.0816315 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00821 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00821-0.00185 (0.00636) Potential Increase in error ---TVD Preserved --Testing dt=0.00822 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00822-0.0017 (0.00652) Potential Increase in error ---TVD Preserved --Testing dt=0.00823 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00823-0.00155 (0.00668) Potential Increase in error ---TVD Preserved --Testing dt=0.00824 ---TVD Violated after 10 steps t=0.082400 (6.827761e-09) L2 error at time of violation: 0.0542663 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008231-0.001535 (0.006696) Potential Increase in error ---TVD Preserved --Testing dt=0.008232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008232-0.00152 (0.006712) Potential Increase in error ---TVD Preserved --Testing dt=0.008233 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008233-0.001505 (0.006728) Potential Increase in error ---TVD Preserved --Testing dt=0.008234 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008234-0.00149 (0.006744) Potential Increase in error ---TVD Preserved --Testing dt=0.008235 ---TVD Violated after 10 steps t=0.082350 (8.282637e-10) L2 error at time of violation: 0.0543389 TV Norm History: 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008234 Theoretial Max dt=0.024719 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 10s5k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 ---POS Violated after 6 steps t=0.090000 (-4.376560e-03) L2 error at time of violation: 0.100562 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---POS Preserved --Testing dt=0.0147 ---POS Violated after 6 steps t=0.088200 (-3.018711e-04) L2 error at time of violation: 0.100079 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01461-0.00812 (0.00649) Potential Increase in error ---POS Preserved --Testing dt=0.01462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01462-0.00804 (0.00658) Potential Increase in error ---POS Preserved --Testing dt=0.01463 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01463-0.00796 (0.00667) Potential Increase in error ---POS Preserved --Testing dt=0.01464 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01464-0.00788 (0.00676) Potential Increase in error ---POS Preserved --Testing dt=0.01465 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01465-0.0078 (0.00685) Potential Increase in error ---POS Preserved --Testing dt=0.01466 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01466-0.00772 (0.00694) Potential Increase in error ---POS Preserved --Testing dt=0.01467 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01467-0.00764 (0.00703) Potential Increase in error ---POS Preserved --Testing dt=0.01468 ---POS Violated after 6 steps t=0.088080 (-5.604183e-05) L2 error at time of violation: 0.100394 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014671-0.007632 (0.007039) Potential Increase in error ---POS Preserved --Testing dt=0.014672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014672-0.007624 (0.007048) Potential Increase in error ---POS Preserved --Testing dt=0.014673 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014673-0.007616 (0.007057) Potential Increase in error ---POS Preserved --Testing dt=0.014674 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014674-0.007608 (0.007066) Potential Increase in error ---POS Preserved --Testing dt=0.014675 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014675-0.0076 (0.007075) Potential Increase in error ---POS Preserved --Testing dt=0.014676 ---POS Violated after 6 steps t=0.088056 (-7.255570e-06) L2 error at time of violation: 0.100453 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014675 Theoretial Max dt=0.024719 results_pos = max_dt: 0.0147 s: 10 k: 5 p: [] dx: 0.0100 r: 2.4719 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 12 steps t=0.072000 (5.848608e-10) L2 error at time of violation: 0.0158919 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0051-0.0026 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0052-0.0002 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0053-0.0031 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0054-0.0008 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0055-0.004 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0056-0.0018 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0057-0.0053 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0058-0.0032 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0059-0.0011 (0.0048) Potential Increase in error ---TVD Preserved --Testing dt=0.006 ---TVD Violated after 12 steps t=0.072000 (5.848608e-10) L2 error at time of violation: 0.0158919 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00591 ---TVD Violated after 18 steps t=0.106380 (1.172396e-13) L2 error at time of violation: 0.0149552 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.005901 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005901-0.001079 (0.004822) Potential Increase in error ---TVD Preserved --Testing dt=0.005902 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005902-0.001058 (0.004844) Potential Increase in error ---TVD Preserved --Testing dt=0.005903 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.005903-0.001037 (0.004866) Potential Increase in error ---TVD Preserved --Testing dt=0.005904 ---TVD Violated after 18 steps t=0.106272 (1.001421e-13) L2 error at time of violation: 0.0147695 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.005903 Theoretial Max dt=0.016988 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k7pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 3 steps t=0.036000 (-1.065317e-02) L2 error at time of violation: 0.0647977 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 ---POS Violated after 3 steps t=0.034500 (-9.368263e-04) L2 error at time of violation: 0.0652303 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01141-0.0109 (0.00051) Potential Increase in error ---POS Preserved --Testing dt=0.01142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01142-0.0108 (0.00062) Potential Increase in error ---POS Preserved --Testing dt=0.01143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01143-0.0107 (0.00073) Potential Increase in error ---POS Preserved --Testing dt=0.01144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01144-0.0106 (0.00084) Potential Increase in error ---POS Preserved --Testing dt=0.01145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01145-0.0105 (0.00095) Potential Increase in error ---POS Preserved --Testing dt=0.01146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01146-0.0104 (0.00106) Potential Increase in error ---POS Preserved --Testing dt=0.01147 ---POS Violated after 3 steps t=0.034410 (-2.286034e-04) L2 error at time of violation: 0.0652523 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011461 ---POS Violated after 3 steps t=0.034383 (-1.726632e-05) L2 error at time of violation: 0.065259 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011460 Theoretial Max dt=0.016988 results_pos = max_dt: 0.0115 s: 7 k: 3 p: [] dx: 0.0100 r: 1.6988 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 ---TVD Violated after 5 steps t=0.075000 (3.588226e-03) L2 error at time of violation: 0.0885207 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0141-0.0122 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0142-0.0114 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0143-0.0106 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.0144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0144-0.0098 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0145-0.009 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0146-0.0082 (0.0064) Potential Increase in error ---TVD Preserved --Testing dt=0.0147 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0147-0.0074 (0.0073) Potential Increase in error ---TVD Preserved --Testing dt=0.0148 ---TVD Violated after 8 steps t=0.118400 (3.513266e-04) L2 error at time of violation: 0.0582171 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01471 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01471-0.00732 (0.00739) Potential Increase in error ---TVD Preserved --Testing dt=0.01472 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01472-0.00724 (0.00748) Potential Increase in error ---TVD Preserved --Testing dt=0.01473 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01473-0.00716 (0.00757) Potential Increase in error ---TVD Preserved --Testing dt=0.01474 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01474-0.00708 (0.00766) Potential Increase in error ---TVD Preserved --Testing dt=0.01475 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01475-0.007 (0.00775) Potential Increase in error ---TVD Preserved --Testing dt=0.01476 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01476-0.00692 (0.00784) Potential Increase in error ---TVD Preserved --Testing dt=0.01477 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01477-0.00684 (0.00793) Potential Increase in error ---TVD Preserved --Testing dt=0.01478 ---TVD Violated after 8 steps t=0.118240 (1.417411e-05) L2 error at time of violation: 0.0583847 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.014771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014771-0.006832 (0.007939) Potential Increase in error ---TVD Preserved --Testing dt=0.014772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014772-0.006824 (0.007948) Potential Increase in error ---TVD Preserved --Testing dt=0.014773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014773-0.006816 (0.007957) Potential Increase in error ---TVD Preserved --Testing dt=0.014774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014774-0.006808 (0.007966) Potential Increase in error ---TVD Preserved --Testing dt=0.014775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014775-0.0068 (0.007975) Potential Increase in error ---TVD Preserved --Testing dt=0.014776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014776-0.006792 (0.007984) Potential Increase in error ---TVD Preserved --Testing dt=0.014777 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014777-0.006784 (0.007993) Potential Increase in error ---TVD Preserved --Testing dt=0.014778 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014778-0.006776 (0.008002) Potential Increase in error ---TVD Preserved --Testing dt=0.014779 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014779-0.006768 (0.008011) Potential Increase in error ---TVD Preserved --Testing dt=0.01478 ---TVD Violated after 8 steps t=0.118240 (1.417411e-05) L2 error at time of violation: 0.0583847 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.014779 Theoretial Max dt=0.052227 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s4k3pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 4 steps t=0.100000 (-4.368785e-03) L2 error at time of violation: 0.12869 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 4 steps t=0.097200 (-7.776489e-04) L2 error at time of violation: 0.123838 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 ---POS Violated after 4 steps t=0.096840 (-7.153180e-05) L2 error at time of violation: 0.123735 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024201 ---POS Violated after 4 steps t=0.096804 (-9.474903e-07) L2 error at time of violation: 0.123724 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024200 Theoretial Max dt=0.052227 results_pos = max_dt: 0.0242 s: 8 k: 4 p: [] dx: 0.0100 r: 5.2227 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 3 steps t=0.033000 (7.258656e-03) L2 error at time of violation: 0.057947 TV Norm History: 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0101-0.0038 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.0102 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0102-0.0026 (0.0076) Potential Increase in error ---TVD Preserved --Testing dt=0.0103 ---TVD Violated after 5 steps t=0.051500 (2.649354e-04) L2 error at time of violation: 0.0417265 TV Norm History: 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01021 ---TVD Violated after 5 steps t=0.051050 (1.964024e-05) L2 error at time of violation: 0.0425401 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010201-0.002588 (0.007613) Potential Increase in error ---TVD Preserved --Testing dt=0.010202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010202-0.002576 (0.007626) Potential Increase in error ---TVD Preserved --Testing dt=0.010203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010203-0.002564 (0.007639) Potential Increase in error ---TVD Preserved --Testing dt=0.010204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010204-0.002552 (0.007652) Potential Increase in error ---TVD Preserved --Testing dt=0.010205 ---TVD Violated after 5 steps t=0.051025 (1.198549e-06) L2 error at time of violation: 0.0425875 TV Norm History: 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010204 Theoretial Max dt=0.031443 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k6pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 ---POS Violated after 3 steps t=0.063000 (-2.667232e-02) L2 error at time of violation: 0.0882724 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 ---POS Violated after 3 steps t=0.060300 (-1.418323e-03) L2 error at time of violation: 0.088145 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02001-0.00494 (0.01507) Potential Increase in error ---POS Preserved --Testing dt=0.02002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02002-0.00488 (0.01514) Potential Increase in error ---POS Preserved --Testing dt=0.02003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02003-0.00482 (0.01521) Potential Increase in error ---POS Preserved --Testing dt=0.02004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02004-0.00476 (0.01528) Potential Increase in error ---POS Preserved --Testing dt=0.02005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02005-0.0047 (0.01535) Potential Increase in error ---POS Preserved --Testing dt=0.02006 ---POS Violated after 3 steps t=0.060180 (-1.990205e-04) L2 error at time of violation: 0.0881776 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020051-0.004694 (0.015357) Potential Increase in error ---POS Preserved --Testing dt=0.020052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020052-0.004688 (0.015364) Potential Increase in error ---POS Preserved --Testing dt=0.020053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020053-0.004682 (0.015371) Potential Increase in error ---POS Preserved --Testing dt=0.020054 ---POS Violated after 3 steps t=0.060162 (-1.563498e-05) L2 error at time of violation: 0.0881827 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020053 Theoretial Max dt=0.031443 results_pos = max_dt: 0.0201 s: 9 k: 3 p: [] dx: 0.0100 r: 3.1443 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 ---TVD Violated after 7 steps t=0.091000 (9.080916e-05) L2 error at time of violation: 0.0896158 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---TVD Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---TVD Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---TVD Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---TVD Preserved --Testing dt=0.0125 ---TVD Preserved --Testing dt=0.0126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0126-0.0116 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0127 ---TVD Violated after 7 steps t=0.088900 (6.339483e-06) L2 error at time of violation: 0.0907082 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01261 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01261-0.01151 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.01262 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01262-0.01142 (0.0012) Potential Increase in error ---TVD Preserved --Testing dt=0.01263 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01263-0.01133 (0.0013) Potential Increase in error ---TVD Preserved --Testing dt=0.01264 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01264-0.01124 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.01265 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01265-0.01115 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.01266 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01266-0.01106 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.01267 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01267-0.01097 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.01268 ---TVD Violated after 7 steps t=0.088760 (1.861570e-07) L2 error at time of violation: 0.090791 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012671-0.010961 (0.00171) Potential Increase in error ---TVD Preserved --Testing dt=0.012672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012672-0.010952 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.012673 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012673-0.010943 (0.00173) Potential Increase in error ---TVD Preserved --Testing dt=0.012674 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012674-0.010934 (0.00174) Potential Increase in error ---TVD Preserved --Testing dt=0.012675 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012675-0.010925 (0.00175) Potential Increase in error ---TVD Preserved --Testing dt=0.012676 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012676-0.010916 (0.00176) Potential Increase in error ---TVD Preserved --Testing dt=0.012677 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012677-0.010907 (0.00177) Potential Increase in error ---TVD Preserved --Testing dt=0.012678 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012678-0.010898 (0.00178) Potential Increase in error ---TVD Preserved --Testing dt=0.012679 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012679-0.010889 (0.00179) Potential Increase in error ---TVD Preserved --Testing dt=0.01268 ---TVD Violated after 7 steps t=0.088760 (1.861570e-07) L2 error at time of violation: 0.090791 TV Norm History: 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012679 Theoretial Max dt=0.039426 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k5pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.165000 (-2.377064e-01) L2 error at time of violation: 0.174934 Refining dt search increment 0.001->0.0001 --Testing dt=0.0321 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160500 (-1.679442e-01) L2 error at time of violation: 0.173918 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03201 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160050 (-1.618031e-01) L2 error at time of violation: 0.1738 Refining dt search increment 1e-05->1e-06 --Testing dt=0.032001 Skip value (4*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.256000 ---POS Violated after 5 steps t=0.160005 (-1.611971e-01) L2 error at time of violation: 0.17379 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.032000 Theoretial Max dt=0.039426 results_pos = max_dt: 0.0320 s: 9 k: 5 p: [] dx: 0.0100 r: 3.9426 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 ---TVD Violated after 8 steps t=0.024000 (1.896081e-02) L2 error at time of violation: 0.029131 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0021-0.0011 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0022-0.0018 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0023-0.0008 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0024 ---TVD Violated after 14 steps t=0.033600 (1.449172e-05) L2 error at time of violation: 0.0182818 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00231-0.00026 (0.00205) Potential Increase in error ---TVD Preserved --Testing dt=0.00232 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00232-0.00204 (0.00028) Potential Increase in error ---TVD Preserved --Testing dt=0.00233 ---TVD Violated after 34 steps t=0.079220 (1.744338e-11) L2 error at time of violation: 0.0149914 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.002321 ---TVD Violated after 42 steps t=0.097482 (1.172396e-13) L2 error at time of violation: 0.0167945 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.002320 Theoretial Max dt=0.006817 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s4k4pT2.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 6 steps t=0.030000 (-6.666921e-06) L2 error at time of violation: 0.046926 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0047 ---POS Violated after 9 steps t=0.042300 (-1.630189e-02) L2 error at time of violation: 0.0592044 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00461 ---POS Violated after 9 steps t=0.041490 (-1.353886e-03) L2 error at time of violation: 0.0582079 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004601-0.000773 (0.003828) Potential Increase in error ---POS Preserved --Testing dt=0.004602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004602-0.000746 (0.003856) Potential Increase in error ---POS Preserved --Testing dt=0.004603 ---POS Violated after 9 steps t=0.041427 (-1.172247e-04) L2 error at time of violation: 0.0581429 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004602 Theoretial Max dt=0.006817 results_pos = max_dt: 0.0046 s: 2 k: 4 p: [] dx: 0.0100 r: 0.6817 SSP Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 4 steps t=0.028000 (3.099275e-02) L2 error at time of violation: 0.066002 TV Norm History: 1 1 1 1 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 ---TVD Violated after 8 steps t=0.051200 (1.939873e-06) L2 error at time of violation: 0.0339798 TV Norm History: 1 1 1 1 1 1 1 1 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00631-0.00511 (0.0012) Potential Increase in error ---TVD Preserved --Testing dt=0.00632 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00632-0.00492 (0.0014) Potential Increase in error ---TVD Preserved --Testing dt=0.00633 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00633-0.00473 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.00634 ---TVD Violated after 16 steps t=0.101440 (1.910694e-13) L2 error at time of violation: 0.0217957 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006331 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006331-0.004711 (0.00162) Potential Increase in error ---TVD Preserved --Testing dt=0.006332 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006332-0.004692 (0.00164) Potential Increase in error ---TVD Preserved --Testing dt=0.006333 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006333-0.004673 (0.00166) Potential Increase in error ---TVD Preserved --Testing dt=0.006334 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006334-0.004654 (0.00168) Potential Increase in error ---TVD Preserved --Testing dt=0.006335 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006335-0.004635 (0.0017) Potential Increase in error ---TVD Preserved --Testing dt=0.006336 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006336-0.004616 (0.00172) Potential Increase in error ---TVD Preserved --Testing dt=0.006337 ---TVD Violated after 16 steps t=0.101392 (1.143530e-13) L2 error at time of violation: 0.0219345 TV Norm History: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006336 Theoretial Max dt=0.018911 Positivity Test Problem: < SSP_Tools.TestProblems.BuckleyLeverett: @(x)0.5*f(x) [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k8p.mat priming=exact > Spatial Discretization: < SSP_Tools.Discretizers.KorenLimiter > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.013 ---POS Violated after 4 steps t=0.052000 (-7.532267e-03) L2 error at time of violation: 0.0818697 Refining dt search increment 0.001->0.0001 --Testing dt=0.0121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0121-0.004 (0.0081) Potential Increase in error ---POS Preserved --Testing dt=0.0122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0122-0.003 (0.0092) Potential Increase in error ---POS Preserved --Testing dt=0.0123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0123-0.002 (0.0103) Potential Increase in error ---POS Preserved --Testing dt=0.0124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0124-0.001 (0.0114) Potential Increase in error ---POS Preserved --Testing dt=0.0125 ---POS Preserved --Testing dt=0.0126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0126-0.0116 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0127 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0127-0.0107 (0.002) Potential Increase in error ---POS Preserved --Testing dt=0.0128 ---POS Violated after 4 steps t=0.051200 (-3.705796e-05) L2 error at time of violation: 0.0818705 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01271 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01271-0.01061 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.01272 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01272-0.01052 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.01273 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01273-0.01043 (0.0023) Potential Increase in error ---POS Preserved --Testing dt=0.01274 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01274-0.01034 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.01275 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01275-0.01025 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.01276 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01276-0.01016 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.01277 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01277-0.01007 (0.0027) Potential Increase in error ---POS Preserved --Testing dt=0.01278 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01278-0.00998 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.01279 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01279-0.00989 (0.0029) Potential Increase in error ---POS Preserved --Testing dt=0.0128 ---POS Violated after 4 steps t=0.051200 (-3.705796e-05) L2 error at time of violation: 0.0818705 Refining dt search increment 1e-05->1e-06 --Testing dt=0.012791 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012791-0.009881 (0.00291) Potential Increase in error ---POS Preserved --Testing dt=0.012792 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012792-0.009872 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.012793 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012793-0.009863 (0.00293) Potential Increase in error ---POS Preserved --Testing dt=0.012794 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012794-0.009854 (0.00294) Potential Increase in error ---POS Preserved --Testing dt=0.012795 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012795-0.009845 (0.00295) Potential Increase in error ---POS Preserved --Testing dt=0.012796 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012796-0.009836 (0.00296) Potential Increase in error ---POS Preserved --Testing dt=0.012797 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012797-0.009827 (0.00297) Potential Increase in error ---POS Preserved --Testing dt=0.012798 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012798-0.009818 (0.00298) Potential Increase in error ---POS Preserved --Testing dt=0.012799 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012799-0.009809 (0.00299) Potential Increase in error ---POS Preserved --Testing dt=0.0128 ---POS Violated after 4 steps t=0.051200 (-3.705796e-05) L2 error at time of violation: 0.0818705 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.012799 Theoretial Max dt=0.018911 results_pos = max_dt: 0.0128 s: 9 k: 4 p: [] dx: 0.0100 r: 1.8911 Method & dt_tvd/dx & dt_tvd/dx/s & r & r/s & dt_pos/dx & dt_pos/dx/s (2,2,2) & 0.482 & 0.241 & 0.354 & 0.177 & 0.731 & 0.366 & \\ (2,3,2) & 0.414 & 0.207 & 0.405 & 0.202 & 0.908 & 0.454 & \\ (3,2,2) & 0.620 & 0.207 & 0.612 & 0.204 & 1.379 & 0.460 & \\ (5,2,2) & 1.030 & 0.206 & 1.118 & 0.224 & 2.409 & 0.482 & * \\ (6,5,2) & 1.467 & 0.244 & 1.449 & 0.241 & 3.200 & 0.533 & \\ (2,2,3) & 0.315 & 0.158 & 0.183 & 0.092 & 0.410 & 0.205 & \\ (2,3,3) & 0.296 & 0.148 & 0.278 & 0.139 & 0.598 & 0.299 & \\ (2,4,3) & 0.314 & 0.157 & 0.287 & 0.144 & 0.614 & 0.307 & \\ (2,5,3) & 0.314 & 0.157 & 0.287 & 0.144 & 0.626 & 0.313 & \\ (2,6,3) & 0.314 & 0.157 & 0.287 & 0.144 & 0.626 & 0.313 & \\ (2,7,3) & 0.314 & 0.157 & 0.287 & 0.144 & 0.634 & 0.317 & \\ (2,8,3) & 0.314 & 0.157 & 0.287 & 0.144 & 0.634 & 0.317 & \\ (3,1,3) & 0.456 & 0.152 & 0.250 & 0.083 & 0.903 & 0.301 & \\ (3,2,3) & 0.492 & 0.164 & 0.413 & 0.138 & 0.847 & 0.282 & \\ (3,3,3) & 0.533 & 0.178 & 0.434 & 0.145 & 0.940 & 0.313 & \\ (3,4,3) & 0.533 & 0.178 & 0.434 & 0.145 & 0.962 & 0.321 & \\ (3,5,3) & 0.533 & 0.178 & 0.434 & 0.145 & 0.980 & 0.327 & \\ (3,6,3) & 0.533 & 0.178 & 0.434 & 0.145 & 0.980 & 0.327 & \\ (3,7,3) & 0.533 & 0.178 & 0.434 & 0.145 & 0.980 & 0.327 & \\ (3,8,3) & 0.533 & 0.178 & 0.434 & 0.145 & 0.980 & 0.327 & \\ (4,2,3) & 0.608 & 0.152 & 0.576 & 0.144 & 1.411 & 0.353 & \\ (4,3,3) & 0.608 & 0.152 & 0.576 & 0.144 & 1.500 & 0.375 & \\ (4,4,3) & 0.608 & 0.152 & 0.576 & 0.144 & 1.535 & 0.384 & \\ (4,5,3) & 0.608 & 0.152 & 0.576 & 0.144 & 1.535 & 0.384 & \\ (4,6,3) & 0.608 & 0.152 & 0.576 & 0.144 & 1.535 & 0.384 & \\ (4,7,3) & 0.608 & 0.152 & 0.576 & 0.144 & 1.535 & 0.384 & \\ (5,2,3) & 0.812 & 0.162 & 0.747 & 0.149 & 1.894 & 0.379 & \\ (5,3,3) & 0.812 & 0.162 & 0.747 & 0.149 & 1.992 & 0.398 & \\ (5,4,3) & 0.812 & 0.162 & 0.747 & 0.149 & 1.992 & 0.398 & \\ (5,5,3) & 0.812 & 0.162 & 0.747 & 0.149 & 1.992 & 0.398 & \\ (5,6,3) & 0.812 & 0.162 & 0.747 & 0.149 & 1.992 & 0.398 & \\ (6,2,3) & 1.014 & 0.169 & 0.944 & 0.157 & 2.456 & 0.409 & \\ (6,3,3) & 1.017 & 0.170 & 0.944 & 0.157 & 2.486 & 0.414 & \\ (6,4,3) & 1.017 & 0.170 & 0.944 & 0.157 & 2.486 & 0.414 & \\ (6,5,3) & 1.022 & 0.170 & 0.944 & 0.157 & 3.200 & 0.533 & \\ (6,6,3) & 1.022 & 0.170 & 0.944 & 0.157 & 2.500 & 0.417 & \\ (6,7,3) & 1.032 & 0.172 & 0.944 & 0.157 & 2.486 & 0.414 & \\ (6,8,3) & 1.032 & 0.172 & 0.944 & 0.157 & 2.486 & 0.414 & \\ (7,2,3) & 1.326 & 0.189 & 1.121 & 0.160 & 2.617 & 0.374 & \\ (7,3,3) & 1.326 & 0.189 & 1.121 & 0.160 & 2.953 & 0.422 & \\ (7,4,3) & 1.326 & 0.189 & 1.121 & 0.160 & 2.989 & 0.427 & \\ (7,5,3) & 1.326 & 0.189 & 1.121 & 0.160 & 3.200 & 0.457 & \\ (7,6,3) & 1.326 & 0.189 & 1.121 & 0.160 & 2.617 & 0.374 & \\ (7,7,3) & 1.333 & 0.190 & 1.121 & 0.160 & 2.617 & 0.374 & \\ (7,8,3) & 1.800 & 0.257 & 1.121 & 0.160 & 2.617 & 0.374 & \\ (8,2,3) & 1.442 & 0.180 & 1.306 & 0.163 & 2.420 & 0.303 & \\ (8,3,3) & 1.450 & 0.181 & 1.306 & 0.163 & 2.420 & 0.303 & \\ (8,4,3) & 1.478 & 0.185 & 1.306 & 0.163 & 2.420 & 0.303 & \\ (8,5,3) & 1.481 & 0.185 & 1.306 & 0.163 & 3.225 & 0.403 & \\ (9,2,3) & 1.618 & 0.180 & 1.512 & 0.168 & 2.777 & 0.309 & \\ (9,3,3) & 1.618 & 0.180 & 1.512 & 0.168 & 2.777 & 0.309 & \\ (9,4,3) & 1.618 & 0.180 & 1.512 & 0.168 & 2.777 & 0.309 & \\ (9,5,3) & 1.673 & 0.186 & 1.512 & 0.168 & 3.260 & 0.362 & \\ (9,6,3) & 1.751 & 0.195 & 1.512 & 0.168 & 2.777 & 0.309 & \\ (9,7,3) & 1.612 & 0.179 & 1.500 & 0.167 & 3.276 & 0.364 & \\ (9,8,3) & 1.800 & 0.200 & 1.512 & 0.168 & 2.777 & 0.309 & \\ (10,2,3) & 1.876 & 0.188 & 1.707 & 0.171 & 3.112 & 0.311 & \\ (10,3,3) & 1.876 & 0.188 & 1.707 & 0.171 & 3.112 & 0.311 & \\ (10,4,3) & 1.876 & 0.188 & 1.707 & 0.171 & 4.200 & 0.420 & \\ (10,5,3) & 1.876 & 0.188 & 1.707 & 0.171 & 3.200 & 0.320 & \\ (2,3,4) & 0.176 & 0.088 & 0.124 & 0.062 & 0.358 & 0.179 & \\ (2,4,4) & 0.232 & 0.116 & 0.170 & 0.085 & 0.460 & 0.230 & \\ (2,5,4) & 0.258 & 0.129 & 0.198 & 0.099 & 0.547 & 0.273 & \\ (3,2,4) & 0.411 & 0.137 & 0.215 & 0.072 & 0.721 & 0.240 & \\ (3,3,4) & 0.395 & 0.132 & 0.291 & 0.097 & 0.840 & 0.280 & \\ (3,4,4) & 0.425 & 0.142 & 0.341 & 0.114 & 0.714 & 0.238 & \\ (3,5,4) & 0.441 & 0.147 & 0.366 & 0.122 & 0.802 & 0.267 & \\ (4,1,4) & 0.740 & 0.185 & 0.000 & 0.000 & 1.209 & 0.302 & \\ (4,2,4) & 0.558 & 0.139 & 0.398 & 0.100 & 1.216 & 0.304 & \\ (4,3,4) & 0.523 & 0.131 & 0.461 & 0.115 & 1.120 & 0.280 & \\ (4,4,4) & 0.550 & 0.138 & 0.483 & 0.121 & 1.213 & 0.303 & \\ (4,5,4) & 0.559 & 0.140 & 0.495 & 0.124 & 1.321 & 0.330 & \\ (5,2,4) & 0.753 & 0.151 & 0.590 & 0.118 & 1.380 & 0.276 & \\ (5,3,4) & 0.780 & 0.156 & 0.630 & 0.126 & 1.544 & 0.309 & \\ (5,4,4) & 0.697 & 0.139 & 0.636 & 0.127 & 1.484 & 0.297 & \\ (5,5,4) & 0.743 & 0.149 & 0.640 & 0.128 & 1.492 & 0.298 & \\ (6,2,4) & 1.007 & 0.168 & 0.764 & 0.127 & 1.721 & 0.287 & \\ (6,3,4) & 1.089 & 0.181 & 0.768 & 0.128 & 1.930 & 0.322 & \\ (6,4,4) & 1.120 & 0.187 & 0.771 & 0.129 & 2.010 & 0.335 & \\ (6,5,4) & 1.102 & 0.184 & 0.773 & 0.129 & 2.185 & 0.364 & \\ (7,2,4) & 1.312 & 0.187 & 0.935 & 0.134 & 2.175 & 0.311 & \\ (7,3,4) & 1.192 & 0.170 & 0.937 & 0.134 & 2.260 & 0.323 & \\ (7,4,4) & 1.190 & 0.170 & 0.938 & 0.134 & 2.251 & 0.322 & \\ (7,5,4) & 1.336 & 0.191 & 0.939 & 0.134 & 3.200 & 0.457 & \\ (8,2,4) & 1.656 & 0.207 & 1.123 & 0.140 & 2.600 & 0.325 & \\ (8,3,4) & 1.666 & 0.208 & 1.125 & 0.141 & 2.618 & 0.327 & \\ (8,4,4) & 1.656 & 0.207 & 1.126 & 0.141 & 4.200 & 0.525 & \\ (8,5,4) & 1.663 & 0.208 & 1.127 & 0.141 & 3.200 & 0.400 & \\ (9,2,4) & 1.422 & 0.158 & 1.318 & 0.146 & 2.883 & 0.320 & \\ (9,3,4) & 1.424 & 0.158 & 1.321 & 0.147 & 3.637 & 0.404 & \\ (9,4,4) & 1.758 & 0.195 & 1.325 & 0.147 & 4.200 & 0.467 & \\ (9,5,4) & 1.667 & 0.185 & 1.326 & 0.147 & 3.206 & 0.356 & \\ (10,1,4) & 1.676 & 0.168 & 1.500 & 0.150 & 3.017 & 0.302 & \\ (10,2,4) & 1.707 & 0.171 & 1.526 & 0.153 & 3.904 & 0.390 & \\ (10,3,4) & 1.588 & 0.159 & 1.535 & 0.154 & 6.300 & 0.630 & \\ (10,4,4) & 2.236 & 0.224 & 1.537 & 0.154 & 4.200 & 0.420 & \\ (10,5,4) & 2.240 & 0.224 & 1.538 & 0.154 & 3.422 & 0.342 & \\ (2,4,5) & 0.197 & 0.098 & 0.093 & 0.046 & 0.254 & 0.127 & \\ (2,5,5) & 0.166 & 0.083 & 0.118 & 0.059 & 0.386 & 0.193 & \\ (3,3,5) & 0.349 & 0.116 & 0.160 & 0.053 & 0.700 & 0.233 & \\ (3,4,5) & 0.343 & 0.114 & 0.250 & 0.083 & 0.693 & 0.231 & \\ (3,5,5) & 0.338 & 0.113 & 0.291 & 0.097 & 0.779 & 0.260 & \\ (4,2,5) & 0.514 & 0.129 & 0.214 & 0.053 & 1.028 & 0.257 & \\ (4,3,5) & 0.463 & 0.116 & 0.342 & 0.085 & 1.085 & 0.271 & \\ (4,4,5) & 0.508 & 0.127 & 0.384 & 0.096 & 1.045 & 0.261 & \\ (4,5,5) & 0.501 & 0.125 & 0.391 & 0.098 & 1.041 & 0.260 & \\ (5,2,5) & 0.657 & 0.131 & 0.412 & 0.082 & 1.190 & 0.238 & \\ (5,3,5) & 0.597 & 0.119 & 0.482 & 0.096 & 1.200 & 0.240 & \\ (5,4,5) & 0.604 & 0.121 & 0.501 & 0.100 & 1.241 & 0.248 & \\ (5,5,5) & 0.611 & 0.122 & 0.506 & 0.101 & 1.261 & 0.252 & \\ (6,2,5) & 0.759 & 0.126 & 0.577 & 0.096 & 1.451 & 0.242 & \\ (6,3,5) & 0.762 & 0.127 & 0.606 & 0.101 & 1.499 & 0.250 & \\ (6,4,5) & 0.772 & 0.129 & 0.607 & 0.101 & 1.663 & 0.277 & \\ (6,5,5) & 0.772 & 0.129 & 0.607 & 0.101 & 1.663 & 0.277 & \\ (7,2,5) & 0.909 & 0.130 & 0.732 & 0.105 & 1.903 & 0.272 & \\ (7,3,5) & 0.930 & 0.133 & 0.746 & 0.107 & 1.934 & 0.276 & \\ (7,4,5) & 0.930 & 0.133 & 0.746 & 0.107 & 1.934 & 0.276 & \\ (7,5,5) & 0.930 & 0.133 & 0.746 & 0.107 & 2.030 & 0.290 & \\ (8,2,5) & 1.193 & 0.149 & 0.895 & 0.112 & 2.420 & 0.303 & \\ (8,3,5) & 1.193 & 0.149 & 0.895 & 0.112 & 2.420 & 0.303 & \\ (8,4,5) & 1.193 & 0.149 & 0.895 & 0.112 & 2.420 & 0.303 & \\ (8,5,5) & 1.193 & 0.149 & 0.895 & 0.112 & 3.200 & 0.400 & \\ (9,2,5) & 1.239 & 0.138 & 0.985 & 0.109 & 2.759 & 0.307 & \\ (9,3,5) & 1.268 & 0.141 & 0.986 & 0.110 & 2.769 & 0.308 & \\ (9,4,5) & 1.268 & 0.141 & 0.986 & 0.110 & 2.775 & 0.308 & \\ (9,5,5) & 1.268 & 0.141 & 0.986 & 0.110 & 3.200 & 0.356 & \\ (10,2,5) & 1.319 & 0.132 & 1.064 & 0.106 & 2.790 & 0.279 & \\ (10,3,5) & 1.181 & 0.118 & 1.076 & 0.108 & 2.873 & 0.287 & \\ (10,4,5) & 1.176 & 0.118 & 1.077 & 0.108 & 2.878 & 0.288 & \\ (10,5,5) & 1.176 & 0.118 & 1.077 & 0.108 & 3.200 & 0.320 & \\ (2,5,6) & 0.123 & 0.061 & 0.052 & 0.026 & 0.232 & 0.116 & \\ (3,3,6) & 0.193 & 0.064 & 0.007 & 0.002 & 0.361 & 0.120 & \\ (3,4,6) & 0.286 & 0.095 & 0.084 & 0.028 & 0.521 & 0.174 & \\ (3,5,6) & 0.226 & 0.075 & 0.164 & 0.055 & 0.469 & 0.156 & \\ (4,3,6) & 0.298 & 0.075 & 0.179 & 0.045 & 0.671 & 0.168 & \\ (4,4,6) & 0.358 & 0.090 & 0.243 & 0.061 & 0.764 & 0.191 & \\ (4,5,6) & 0.393 & 0.098 & 0.275 & 0.069 & 0.919 & 0.230 & \\ (4,6,6) & 0.129 & 0.032 & 0.087 & 0.022 & 0.240 & 0.060 & \\ (4,7,6) & 0.165 & 0.041 & 0.122 & 0.031 & 0.298 & 0.075 & \\ (5,3,6) & 0.525 & 0.105 & 0.340 & 0.068 & 1.047 & 0.209 & \\ (5,4,6) & 0.588 & 0.118 & 0.409 & 0.082 & 1.111 & 0.222 & \\ (5,5,6) & 0.564 & 0.113 & 0.426 & 0.085 & 1.167 & 0.233 & \\ (5,6,6) & 0.569 & 0.114 & 0.430 & 0.086 & 1.184 & 0.237 & \\ (5,7,6) & 0.598 & 0.120 & 0.422 & 0.084 & 1.156 & 0.231 & \\ (5,8,6) & 0.575 & 0.115 & 0.423 & 0.085 & 1.143 & 0.229 & \\ (6,2,6) & 0.691 & 0.115 & 0.149 & 0.025 & 1.492 & 0.249 & \\ (6,3,6) & 0.706 & 0.118 & 0.485 & 0.081 & 1.353 & 0.226 & \\ (6,4,6) & 0.709 & 0.118 & 0.504 & 0.084 & 1.398 & 0.233 & \\ (6,5,6) & 0.641 & 0.107 & 0.517 & 0.086 & 1.395 & 0.232 & \\ (6,6,6) & 0.631 & 0.105 & 0.521 & 0.087 & 1.416 & 0.236 & \\ (6,7,6) & 0.639 & 0.106 & 0.517 & 0.086 & 1.484 & 0.247 & \\ (6,8,6) & 0.646 & 0.108 & 0.523 & 0.087 & 1.800 & 0.300 & \\ (7,2,6) & 0.706 & 0.101 & 0.318 & 0.045 & 1.280 & 0.183 & \\ (7,3,6) & 0.853 & 0.122 & 0.597 & 0.085 & 1.648 & 0.235 & \\ (7,4,6) & 0.829 & 0.118 & 0.611 & 0.087 & 1.670 & 0.239 & \\ (7,5,6) & 0.802 & 0.115 & 0.616 & 0.088 & 1.665 & 0.238 & \\ (8,2,6) & 1.205 & 0.151 & 0.485 & 0.061 & 2.342 & 0.293 & \\ (8,3,6) & 0.884 & 0.110 & 0.679 & 0.085 & 1.647 & 0.206 & \\ (8,4,6) & 0.941 & 0.118 & 0.689 & 0.086 & 1.700 & 0.213 & \\ (8,5,6) & 0.945 & 0.118 & 0.694 & 0.087 & 1.788 & 0.223 & \\ (9,2,6) & 1.139 & 0.127 & 0.646 & 0.072 & 1.956 & 0.217 & \\ (9,3,6) & 1.020 & 0.113 & 0.786 & 0.087 & 2.005 & 0.223 & \\ (9,4,6) & 1.079 & 0.120 & 0.787 & 0.087 & 2.007 & 0.223 & \\ (9,5,6) & 1.074 & 0.119 & 0.788 & 0.088 & 1.998 & 0.222 & \\ (9,6,6) & 1.077 & 0.120 & 0.789 & 0.088 & 2.500 & 0.278 & \\ (10,2,6) & 1.334 & 0.133 & 0.800 & 0.080 & 2.551 & 0.255 & \\ (10,3,6) & 1.112 & 0.111 & 0.886 & 0.089 & 2.314 & 0.231 & \\ (10,4,6) & 1.147 & 0.115 & 0.891 & 0.089 & 2.479 & 0.248 & \\ (10,5,6) & 1.144 & 0.114 & 0.892 & 0.089 & 3.200 & 0.320 & \\ (3,5,7) & 0.295 & 0.098 & 0.096 & 0.032 & 0.485 & 0.162 & \\ (4,3,7) & 0.100 & 0.025 & 0.046 & 0.011 & 0.138 & 0.034 & \\ (4,4,7) & 0.100 & 0.025 & 0.046 & 0.011 & 0.138 & 0.034 & \\ (4,5,7) & 0.339 & 0.085 & 0.220 & 0.055 & 0.689 & 0.172 & \\ (5,3,7) & 0.338 & 0.068 & 0.083 & 0.017 & 0.620 & 0.124 & \\ (5,4,7) & 0.413 & 0.083 & 0.299 & 0.060 & 0.887 & 0.177 & \\ (5,5,7) & 0.463 & 0.093 & 0.352 & 0.070 & 1.096 & 0.219 & \\ (6,3,7) & 0.460 & 0.077 & 0.237 & 0.040 & 0.818 & 0.136 & \\ (6,4,7) & 0.593 & 0.099 & 0.435 & 0.072 & 1.265 & 0.211 & \\ (6,5,7) & 0.570 & 0.095 & 0.451 & 0.075 & 1.229 & 0.205 & \\ (7,3,7) & 0.590 & 0.084 & 0.425 & 0.061 & 1.146 & 0.164 & \\ (7,4,7) & 0.670 & 0.096 & 0.500 & 0.071 & 1.411 & 0.202 & \\ (7,5,7) & 0.680 & 0.097 & 0.512 & 0.073 & 1.395 & 0.199 & \\ (8,3,7) & 0.734 & 0.092 & 0.540 & 0.067 & 1.385 & 0.173 & \\ (8,4,7) & 0.731 & 0.091 & 0.570 & 0.071 & 1.551 & 0.194 & \\ (8,5,7) & 0.762 & 0.095 & 0.574 & 0.072 & 1.477 & 0.185 & \\ (9,2,7) & 0.908 & 0.101 & 0.280 & 0.031 & 1.716 & 0.191 & \\ (9,3,7) & 0.871 & 0.097 & 0.654 & 0.073 & 1.627 & 0.181 & \\ (9,4,7) & 0.884 & 0.098 & 0.666 & 0.074 & 1.650 & 0.183 & \\ (9,5,7) & 0.888 & 0.099 & 0.670 & 0.074 & 1.656 & 0.184 & \\ (10,2,7) & 1.235 & 0.123 & 0.446 & 0.045 & 2.074 & 0.207 & \\ (10,3,7) & 0.991 & 0.099 & 0.738 & 0.074 & 1.990 & 0.199 & \\ (10,4,7) & 0.954 & 0.095 & 0.772 & 0.077 & 1.858 & 0.186 & \\ (10,5,7) & 0.956 & 0.096 & 0.772 & 0.077 & 1.859 & 0.186 & \\ (5,4,8) & 0.183 & 0.037 & 0.060 & 0.012 & 0.421 & 0.084 & \\ (5,5,8) & 0.180 & 0.036 & 0.125 & 0.025 & 0.405 & 0.081 & \\ (6,4,8) & 0.346 & 0.058 & 0.120 & 0.020 & 0.780 & 0.130 & \\ (6,5,8) & 0.497 & 0.083 & 0.339 & 0.056 & 1.022 & 0.170 & \\ (6,6,8) & 0.506 & 0.084 & 0.366 & 0.061 & 1.001 & 0.167 & \\ (7,4,8) & 0.385 & 0.055 & 0.259 & 0.037 & 0.724 & 0.103 & \\ (7,5,8) & 0.452 & 0.065 & 0.333 & 0.048 & 0.919 & 0.131 & \\ (7,6,8) & 0.193 & 0.028 & 0.133 & 0.019 & 0.400 & 0.057 & \\ (7,7,8) & 0.236 & 0.034 & 0.177 & 0.025 & 0.506 & 0.072 & \\ (7,8,8) & 0.261 & 0.037 & 0.200 & 0.029 & 0.549 & 0.078 & \\ (8,3,8) & 0.671 & 0.084 & 0.200 & 0.025 & 1.413 & 0.177 & \\ (8,4,8) & 0.488 & 0.061 & 0.326 & 0.041 & 0.933 & 0.117 & \\ (8,5,8) & 0.539 & 0.067 & 0.391 & 0.049 & 1.066 & 0.133 & \\ (8,6,8) & 0.488 & 0.061 & 0.358 & 0.045 & 0.971 & 0.121 & \\ (8,7,8) & 0.368 & 0.046 & 0.274 & 0.034 & 0.740 & 0.093 & \\ (8,8,8) & 0.398 & 0.050 & 0.299 & 0.037 & 0.745 & 0.093 & \\ (9,3,8) & 0.785 & 0.087 & 0.336 & 0.037 & 1.538 & 0.171 & \\ (9,4,8) & 0.634 & 0.070 & 0.473 & 0.053 & 1.280 & 0.142 & \\ (9,5,8) & 0.688 & 0.076 & 0.515 & 0.057 & 1.391 & 0.155 & \\ (9,7,8) & 0.446 & 0.050 & 0.366 & 0.041 & 0.854 & 0.095 & \\ (10,3,8) & 1.022 & 0.102 & 0.500 & 0.050 & 1.601 & 0.160 & \\ (10,4,8) & 0.792 & 0.079 & 0.538 & 0.054 & 1.574 & 0.157 & \\ (10,5,8) & 0.823 & 0.082 & 0.618 & 0.062 & 1.467 & 0.147 & \\ (10,6,8) & 0.374 & 0.037 & 0.282 & 0.028 & 0.750 & 0.075 & \\ (10,7,8) & 0.403 & 0.040 & 0.302 & 0.030 & 0.794 & 0.079 & \\ (10,8,8) & 0.404 & 0.040 & 0.319 & 0.032 & 0.844 & 0.084 & \\ (10,9,8) & 0.424 & 0.042 & 0.333 & 0.033 & 0.855 & 0.085 & \\ (11,3,8) & 1.047 & 0.095 & 0.493 & 0.045 & 1.929 & 0.175 & \\ (11,4,8) & 0.943 & 0.086 & 0.645 & 0.059 & 2.203 & 0.200 & \\ (11,5,8) & 0.933 & 0.085 & 0.677 & 0.062 & 2.069 & 0.188 & \\ (12,3,8) & 1.188 & 0.099 & 0.642 & 0.054 & 2.426 & 0.202 & \\ (12,4,8) & 1.018 & 0.085 & 0.677 & 0.056 & 2.183 & 0.182 & \\ (12,5,8) & 0.783 & 0.065 & 0.619 & 0.052 & 1.691 & 0.141 & \\ (12,6,8) & 0.831 & 0.069 & 0.632 & 0.053 & 1.644 & 0.137 & \\ (8,4,9) & 0.256 & 0.032 & 0.014 & 0.002 & 0.395 & 0.049 & \\ (8,5,9) & 0.100 & 0.013 & 0.031 & 0.004 & 0.341 & 0.043 & \\ (8,6,9) & 0.100 & 0.013 & 0.010 & 0.001 & 0.232 & 0.029 & \\ (8,7,9) & 0.111 & 0.014 & 0.080 & 0.010 & 0.249 & 0.031 & \\ (9,3,9) & 0.883 & 0.098 & 0.868 & 0.096 & 2.590 & 0.288 & \\ (9,4,9) & 0.665 & 0.074 & 0.397 & 0.044 & 1.439 & 0.160 & \\ (9,5,9) & 0.565 & 0.063 & 0.424 & 0.047 & 1.068 & 0.119 & \\ (10,3,9) & 0.706 & 0.071 & 0.201 & 0.020 & 2.139 & 0.214 & \\ (10,4,9) & 0.751 & 0.075 & 0.412 & 0.041 & 1.855 & 0.186 & \\ (10,5,9) & 0.684 & 0.068 & 0.488 & 0.049 & 1.749 & 0.175 & \\ (11,3,9) & 0.526 & 0.048 & 0.164 & 0.015 & 1.334 & 0.121 & \\ (12,3,9) & 0.871 & 0.073 & 0.168 & 0.014 & 1.528 & 0.127 & \\ (12,5,9) & 0.669 & 0.056 & 0.461 & 0.038 & 1.783 & 0.149 & \\ (13,3,9) & 0.719 & 0.055 & 0.043 & 0.003 & 1.103 & 0.085 & \\ (14,3,9) & 0.959 & 0.069 & 0.340 & 0.024 & 1.707 & 0.122 & \\ (8,6,10) & 0.234 & 0.029 & 0.168 & 0.021 & 0.502 & 0.063 & \\ (20,3,10) & 1.426 & 0.071 & 0.459 & 0.023 & 2.521 & 0.126 & \\