15 June 2018 08:14:20 AM BURGERS_SOLUTION_TEST C version Test the BURGERS_SOLUTION library. BURGERS_VISCOUS_TIME_EXACT1_TEST01 BURGERS_VISCOUS_TIME_EXACT1 evaluates solution #1 to the Burgers equation. Viscosity NU = 0.0031831 NX = 11 NT = 11 X grid points: 0: -1.000000 1: -0.800000 2: -0.600000 3: -0.400000 4: -0.200000 5: 0.000000 6: 0.200000 7: 0.400000 8: 0.600000 9: 0.800000 10: 1.000000 T grid points: 0: 0.000000 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: 0.954930 U(X,T) at grid points: Col: 0 1 2 3 4 Row 0: 0.000000 0.000000 0.000000 0.000000 0.000000 1: 0.587785 0.467745 0.385266 0.326331 0.282259 2: 0.951057 0.843167 0.742830 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: -0.000000 -0.000000 -0.000000 0.000000 -0.000000 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 -0.742830 -0.661054 -0.590027 9: -0.587785 -0.467745 -0.385266 -0.326331 -0.282259 10: -0.000000 -0.000000 -0.000000 0.000000 -0.000000 Col: 5 6 7 8 9 Row 0: 0.000000 0.000000 0.000000 0.000000 0.000000 1: 0.248397 0.222439 0.203040 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: -0.000000 -0.000000 -0.000000 -0.000000 -0.000000 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 -0.203040 -0.188983 -0.178866 10: -0.000000 -0.000000 0.000000 0.000000 -0.000000 Col: 10 Row 0: 0.000000 1: 0.171141 2: 0.274681 3: 0.764181 4: 0.997357 5: -0.000000 6: -0.997357 7: -0.764181 8: -0.274681 9: -0.171141 10: -0.000000 Data written to file "burgers_solution_test01.txt". BURGERS_VISCOUS_TIME_EXACT1_TEST02 BURGERS_VISCOUS_TIME_EXACT1 evaluates solution #1 to the Burgers equation. Viscosity NU = 0.0031831 NX = 41 NT = 41 X grid points: 0: -1.000000 1: -0.950000 2: -0.900000 3: -0.850000 4: -0.800000 5: -0.750000 6: -0.700000 7: -0.650000 8: -0.600000 9: -0.550000 10: -0.500000 11: -0.450000 12: -0.400000 13: -0.350000 14: -0.300000 15: -0.250000 16: -0.200000 17: -0.150000 18: -0.100000 19: -0.050000 20: 0.000000 21: 0.050000 22: 0.100000 23: 0.150000 24: 0.200000 25: 0.250000 26: 0.300000 27: 0.350000 28: 0.400000 29: 0.450000 30: 0.500000 31: 0.550000 32: 0.600000 33: 0.650000 34: 0.700000 35: 0.750000 36: 0.800000 37: 0.850000 38: 0.900000 39: 0.950000 40: 1.000000 T grid points: 0: 0.000000 1: 0.023873 2: 0.047746 3: 0.071620 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: 0.740070 32: 0.763944 33: 0.787817 34: 0.811690 35: 0.835563 36: 0.859437 37: 0.883310 38: 0.907183 39: 0.931056 40: 0.954930 Data written to file "burgers_solution_test02.txt". BURGERS_VISCOUS_TIME_EXACT2_TEST01 BURGERS_VISCOUS_TIME_EXACT2 evaluates solution #2 to the Burgers equation. Viscosity NU = 0.5 NX = 11 NT = 11 X grid points: 0: 0.000000 1: 0.628319 2: 1.256637 3: 1.884956 4: 2.513274 5: 3.141593 6: 3.769911 7: 4.398230 8: 5.026548 9: 5.654867 10: 6.283185 T grid points: 0: 0.000000 1: 0.100000 2: 0.200000 3: 0.300000 4: 0.400000 5: 0.500000 6: 0.600000 7: 0.700000 8: 0.800000 9: 0.900000 10: 1.000000 U(X,T) at grid points: Col: 0 1 2 3 4 Row 0: 4.000000 3.636364 3.333333 3.076923 2.857143 1: 4.628318 4.207562 3.856932 3.560245 3.305942 2: 5.256592 4.778749 4.380527 4.043565 3.754740 3: 5.882617 5.349516 4.904019 4.526855 4.203528 4: 6.394327 5.905139 5.424772 5.009509 4.652135 5: 4.000000 5.964626 5.873112 5.478942 5.097725 6: 1.605673 2.570890 4.960301 5.689988 5.493361 7: 2.117383 1.965278 2.201657 3.714856 5.207105 8: 2.743408 2.495149 2.303934 2.280463 2.936766 9: 3.371682 3.065198 2.810400 2.602051 2.481598 10: 4.000000 3.636365 3.333358 3.077329 2.861578 Col: 5 6 7 8 9 Row 0: 2.666667 2.500000 2.352941 2.222222 2.105263 1: 3.085546 2.892699 2.722540 2.571288 2.435957 2: 3.504424 3.285398 3.092139 2.920354 2.766651 3: 3.923299 3.678095 3.461737 3.269419 3.097345 4: 4.342113 4.070769 3.831326 3.618480 3.428036 5: 4.760099 4.463179 4.200818 3.967502 3.758711 6: 5.166594 4.852461 4.569329 4.316177 4.089248 7: 5.420621 5.205318 4.927862 4.661736 4.418696 8: 4.418401 5.182712 5.188273 4.979678 4.739470 9: 2.684810 3.641150 4.728134 5.072721 4.993016 10: 2.701478 2.702446 3.168054 4.144857 4.816748 Col: 10 Row 0: 2.000000 1: 2.314159 2: 2.628319 3: 2.942478 4: 3.256636 5: 3.570785 6: 3.884877 7: 4.198547 8: 4.509192 9: 4.798283 10: 4.943156 Data written to file "burgers_solution_test03.txt". BURGERS_VISCOUS_TIME_EXACT2_TEST02 BURGERS_VISCOUS_TIME_EXACT2 evaluates solution #2 to the Burgers equation. Viscosity NU = 0.5 NX = 41 NT = 41 X grid points: 0: 0.000000 1: 0.157080 2: 0.314159 3: 0.471239 4: 0.628319 5: 0.785398 6: 0.942478 7: 1.099557 8: 1.256637 9: 1.413717 10: 1.570796 11: 1.727876 12: 1.884956 13: 2.042035 14: 2.199115 15: 2.356194 16: 2.513274 17: 2.670354 18: 2.827433 19: 2.984513 20: 3.141593 21: 3.298672 22: 3.455752 23: 3.612832 24: 3.769911 25: 3.926991 26: 4.084070 27: 4.241150 28: 4.398230 29: 4.555309 30: 4.712389 31: 4.869469 32: 5.026548 33: 5.183628 34: 5.340708 35: 5.497787 36: 5.654867 37: 5.811946 38: 5.969026 39: 6.126106 40: 6.283185 T grid points: 0: 0.000000 1: 0.025000 2: 0.050000 3: 0.075000 4: 0.100000 5: 0.125000 6: 0.150000 7: 0.175000 8: 0.200000 9: 0.225000 10: 0.250000 11: 0.275000 12: 0.300000 13: 0.325000 14: 0.350000 15: 0.375000 16: 0.400000 17: 0.425000 18: 0.450000 19: 0.475000 20: 0.500000 21: 0.525000 22: 0.550000 23: 0.575000 24: 0.600000 25: 0.625000 26: 0.650000 27: 0.675000 28: 0.700000 29: 0.725000 30: 0.750000 31: 0.775000 32: 0.800000 33: 0.825000 34: 0.850000 35: 0.875000 36: 0.900000 37: 0.925000 38: 0.950000 39: 0.975000 40: 1.000000 Data written to file "burgers_solution_test04.txt". BURGERS_SOLUTION_TEST Normal end of execution. 15 June 2018 08:14:20 AM