Tue Oct 19 11:24:40 2021 burgers_solution_test(): Python version: 3.6.9 burgers_solution evaluates exact solutions of the Burgers equation. burgers_viscous_time_exact1_test01(): Python version: 3.6.9 burgers_viscous_time_exact1() evaluates solution #1 to the Burgers equation. Viscosity NU = 0.0031831 NX = 11 NT = 11 X grid points: 0: -1 1: -0.8 2: -0.6 3: -0.4 4: -0.2 5: 0 6: 0.2 7: 0.4 8: 0.6 9: 0.8 10: 1 T grid points: 0: 0 1: 0.095493 2: 0.190986 3: 0.286479 4: 0.381972 5: 0.477465 6: 0.572958 7: 0.668451 8: 0.763944 9: 0.859437 10: 0.95493 U(X,T) at grid points: Col: 0 1 2 3 4 Row 0 : 1.22465e-16 1.30024e-16 9.24195e-17 5.8696e-17 1.92322e-16 1 : 0.587785 0.467745 0.385266 0.326331 0.282259 2 : 0.951057 0.843167 0.74283 0.661054 0.590027 3 : 0.951057 0.997698 0.990755 0.971206 0.946876 4 : 0.587785 0.748375 0.869466 0.923817 0.954709 5 : -0 1.09324e-17 4.24572e-17 3.31527e-16 2.32701e-15 6 : -0.587785 -0.748375 -0.869466 -0.923817 -0.954709 7 : -0.951057 -0.997698 -0.990755 -0.971206 -0.946876 8 : -0.951057 -0.843167 -0.74283 -0.661054 -0.590027 9 : -0.587785 -0.467745 -0.385266 -0.326331 -0.282259 10 :-1.22465e-16 -1.12911e-16 -2.62507e-17 1.00796e-17 -3.2394e-17 Col: 5 6 7 8 9 Row 0 : 1.44112e-16 2.47736e-16 -6.78855e-17 1.45056e-16 1.32023e-16 1 : 0.248397 0.222439 0.20304 0.188983 0.178866 2 : 0.525742 0.466479 0.411552 0.360885 0.314918 3 : 0.919698 0.890611 0.860186 0.828804 0.796735 4 : 0.974759 0.987809 0.995661 0.999404 0.999787 5 : 6.37519e-15 1.00858e-14 1.09895e-14 1.32104e-14 1.66057e-14 6 : -0.974759 -0.987809 -0.995661 -0.999404 -0.999787 7 : -0.919698 -0.890611 -0.860186 -0.828804 -0.796735 8 : -0.525742 -0.466479 -0.411552 -0.360885 -0.314918 9 : -0.248397 -0.222439 -0.20304 -0.188983 -0.178866 10 :-5.81444e-17 -1.59391e-16 1.1669e-16 -7.61196e-17 -3.32489e-17 Col: 10 Row 0 : 1.77092e-16 1 : 0.171141 2 : 0.274681 3 : 0.764181 4 : 0.997357 5 : 1.71731e-14 6 : -0.997357 7 : -0.764181 8 : -0.274681 9 : -0.171141 10 :-8.14101e-17 Data written to file "burgers_solution_test01.txt" burgers_viscous_time_exact1_test01(): Normal end of execution. burgers_viscous_time_exact1_test02(): Python version: 3.6.9 burgers_viscous_time_exact1() computes solution #1 to the Burgers equation. Viscosity NU = 0.0031831 NX = 41 NT = 41 X grid points: 0: -1 1: -0.95 2: -0.9 3: -0.85 4: -0.8 5: -0.75 6: -0.7 7: -0.65 8: -0.6 9: -0.55 10: -0.5 11: -0.45 12: -0.4 13: -0.35 14: -0.3 15: -0.25 16: -0.2 17: -0.15 18: -0.1 19: -0.05 20: 0 21: 0.05 22: 0.1 23: 0.15 24: 0.2 25: 0.25 26: 0.3 27: 0.35 28: 0.4 29: 0.45 30: 0.5 31: 0.55 32: 0.6 33: 0.65 34: 0.7 35: 0.75 36: 0.8 37: 0.85 38: 0.9 39: 0.95 40: 1 T grid points: 0: 0 1: 0.0238732 2: 0.0477465 3: 0.0716197 4: 0.095493 5: 0.119366 6: 0.143239 7: 0.167113 8: 0.190986 9: 0.214859 10: 0.238732 11: 0.262606 12: 0.286479 13: 0.310352 14: 0.334225 15: 0.358099 16: 0.381972 17: 0.405845 18: 0.429718 19: 0.453592 20: 0.477465 21: 0.501338 22: 0.525211 23: 0.549085 24: 0.572958 25: 0.596831 26: 0.620704 27: 0.644578 28: 0.668451 29: 0.692324 30: 0.716197 31: 0.74007 32: 0.763944 33: 0.787817 34: 0.81169 35: 0.835563 36: 0.859437 37: 0.88331 38: 0.907183 39: 0.931056 40: 0.95493 Data written to file "burgers_solution_test02.txt" burgers_viscous_time_exact1_test02(): Normal end of execution. burgers_viscous_time_exact2_test01(): Python version: 3.6.9 burgers_viscous_time_exact2() evaluates solution #2 to the Burgers equation. Viscosity NU = 0.5 NX = 11 NT = 11 X grid points: 0: 0 1: 0.628319 2: 1.25664 3: 1.88496 4: 2.51327 5: 3.14159 6: 3.76991 7: 4.39823 8: 5.02655 9: 5.65487 10: 6.28319 T grid points: 0: 0 1: 0.1 2: 0.2 3: 0.3 4: 0.4 5: 0.5 6: 0.6 7: 0.7 8: 0.8 9: 0.9 10: 1 U(X,T) at grid points: Col: 0 1 2 3 4 Row 0 : 4 3.63636 3.33333 3.07692 2.85714 1 : 4.62832 4.20756 3.85693 3.56024 3.30594 2 : 5.25659 4.77875 4.38053 4.04357 3.75474 3 : 5.88262 5.34952 4.90402 4.52686 4.20353 4 : 6.39433 5.90514 5.42477 5.00951 4.65214 5 : 4 5.96463 5.87311 5.47894 5.09772 6 : 1.60567 2.57089 4.9603 5.68999 5.49336 7 : 2.11738 1.96528 2.20166 3.71486 5.20711 8 : 2.74341 2.49515 2.30393 2.28046 2.93677 9 : 3.37168 3.0652 2.8104 2.60205 2.4816 10 : 4 3.63636 3.33336 3.07733 2.86158 Col: 5 6 7 8 9 Row 0 : 2.66667 2.5 2.35294 2.22222 2.10526 1 : 3.08555 2.8927 2.72254 2.57129 2.43596 2 : 3.50442 3.2854 3.09214 2.92035 2.76665 3 : 3.9233 3.67809 3.46174 3.26942 3.09734 4 : 4.34211 4.07077 3.83133 3.61848 3.42804 5 : 4.7601 4.46318 4.20082 3.9675 3.75871 6 : 5.16659 4.85246 4.56933 4.31618 4.08925 7 : 5.42062 5.20532 4.92786 4.66174 4.4187 8 : 4.4184 5.18271 5.18827 4.97968 4.73947 9 : 2.68481 3.64115 4.72813 5.07272 4.99302 10 : 2.70148 2.70245 3.16805 4.14486 4.81675 Col: 10 Row 0 : 2 1 : 2.31416 2 : 2.62832 3 : 2.94248 4 : 3.25664 5 : 3.57079 6 : 3.88488 7 : 4.19855 8 : 4.50919 9 : 4.79828 10 : 4.94316 Data written to file "burgers_solution_test03.txt" burgers_viscous_time_exact2_test01(): Normal end of execution. burgers_viscous_time_exact2_test02(): Python version: 3.6.9 burgers_viscous_time_exact2() computes solution #2 to the Burgers equation. Viscosity NU = 0.5 NX = 41 NT = 41 X grid points: 0: 0 1: 0.15708 2: 0.314159 3: 0.471239 4: 0.628319 5: 0.785398 6: 0.942478 7: 1.09956 8: 1.25664 9: 1.41372 10: 1.5708 11: 1.72788 12: 1.88496 13: 2.04204 14: 2.19911 15: 2.35619 16: 2.51327 17: 2.67035 18: 2.82743 19: 2.98451 20: 3.14159 21: 3.29867 22: 3.45575 23: 3.61283 24: 3.76991 25: 3.92699 26: 4.08407 27: 4.24115 28: 4.39823 29: 4.55531 30: 4.71239 31: 4.86947 32: 5.02655 33: 5.18363 34: 5.34071 35: 5.49779 36: 5.65487 37: 5.81195 38: 5.96903 39: 6.12611 40: 6.28319 T grid points: 0: 0 1: 0.025 2: 0.05 3: 0.075 4: 0.1 5: 0.125 6: 0.15 7: 0.175 8: 0.2 9: 0.225 10: 0.25 11: 0.275 12: 0.3 13: 0.325 14: 0.35 15: 0.375 16: 0.4 17: 0.425 18: 0.45 19: 0.475 20: 0.5 21: 0.525 22: 0.55 23: 0.575 24: 0.6 25: 0.625 26: 0.65 27: 0.675 28: 0.7 29: 0.725 30: 0.75 31: 0.775 32: 0.8 33: 0.825 34: 0.85 35: 0.875 36: 0.9 37: 0.925 38: 0.95 39: 0.975 40: 1 Data written to file "burgers_solution_test04.txt" burgers_viscous_time_exact2_test02(): Normal end of execution. burgers_solution_test(): Normal end of execution. Tue Oct 19 11:24:40 2021