17-Feb-2019 19:53:15 navier_stokes_2d_exact_test: MATLAB version Test navier_stokes_2d_exact. GNUPLOT_LUKAS_TEST: Lukas Bystricky Flow: Generate a velocity field on a regular grid. Store in GNUPLOT data and command files. Data written to "lukas_data.txt". Commands written to "lukas_commands.txt". GNUPLOT_POISEUILLE_TEST: Poiseuille Flow: Generate a velocity field on a regular grid. Store in GNUPLOT data and command files. Data written to "poiseuille_data.txt". Commands written to "poiseuille_commands.txt". GNUPLOT_SPIRAL_TEST: Spiral Flow: Generate a velocity field on a regular grid. Store in GNUPLOT data and command files. Data written to "spiral_data.txt". Commands written to "spiral_commands.txt". GNUPLOT_TAYLOR_TEST: Taylor Flow: Generate a velocity field on a regular grid. Store in GNUPLOT data and command files. Data written to "taylor_data.txt". Commands written to "taylor_commands.txt". GNUPLOT_VORTEX_TEST: Vortex Flow: Generate a velocity field on a regular grid. Store in GNUPLOT data and command files. Data written to "vortex_data.txt". Commands written to "vortex_commands.txt". PARAMETER_POISEUILLE_TEST Poiseuille Flow: Monitor solution norms over time for various values of NU, RHO. RHO affects the pressure scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.02296 0 0.2197 1 1 0.2000 0.02296 0 0.2197 1 1 0.4000 0.02296 0 0.2197 1 1 0.6000 0.02296 0 0.2197 1 1 0.8000 0.02296 0 0.2197 1 1 1.0000 0.02296 0 0.2197 0.01 1 0.0000 0.02296 0 0.002197 0.01 1 0.2000 0.02296 0 0.002197 0.01 1 0.4000 0.02296 0 0.002197 0.01 1 0.6000 0.02296 0 0.002197 0.01 1 0.8000 0.02296 0 0.002197 0.01 1 1.0000 0.02296 0 0.002197 0.0001 1 0.0000 0.02296 0 2.197e-05 0.0001 1 0.2000 0.02296 0 2.197e-05 0.0001 1 0.4000 0.02296 0 2.197e-05 0.0001 1 0.6000 0.02296 0 2.197e-05 0.0001 1 0.8000 0.02296 0 2.197e-05 0.0001 1 1.0000 0.02296 0 2.197e-05 NU affects the time scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.02296 0 0.2197 1 1 0.2000 0.02296 0 0.2197 1 1 0.4000 0.02296 0 0.2197 1 1 0.6000 0.02296 0 0.2197 1 1 0.8000 0.02296 0 0.2197 1 1 1.0000 0.02296 0 0.2197 1 0.1 0.0000 0.02296 0 0.02197 1 0.1 0.2000 0.02296 0 0.02197 1 0.1 0.4000 0.02296 0 0.02197 1 0.1 0.6000 0.02296 0 0.02197 1 0.1 0.8000 0.02296 0 0.02197 1 0.1 1.0000 0.02296 0 0.02197 1 0.01 0.0000 0.02296 0 0.002197 1 0.01 0.2000 0.02296 0 0.002197 1 0.01 0.4000 0.02296 0 0.002197 1 0.01 0.6000 0.02296 0 0.002197 1 0.01 0.8000 0.02296 0 0.002197 1 0.01 1.0000 0.02296 0 0.002197 1 0.001 0.0000 0.02296 0 0.0002197 1 0.001 0.2000 0.02296 0 0.0002197 1 0.001 0.4000 0.02296 0 0.0002197 1 0.001 0.6000 0.02296 0 0.0002197 1 0.001 0.8000 0.02296 0 0.0002197 1 0.001 1.0000 0.02296 0 0.0002197 PARAMETER_SPIRAL_TEST Spiral Flow: Monitor solution norms over time for various values of NU, RHO. RHO affects the pressure scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.0001767 0.0001712 0.01798 1 1 0.2000 0.0002121 0.0002055 0.01798 1 1 0.4000 0.0002474 0.0002397 0.01798 1 1 0.6000 0.0002828 0.000274 0.01798 1 1 0.8000 0.0003181 0.0003082 0.01798 1 1 1.0000 0.0003534 0.0003425 0.01798 0.01 1 0.0000 0.0001767 0.0001712 0.0001798 0.01 1 0.2000 0.0002121 0.0002055 0.0001798 0.01 1 0.4000 0.0002474 0.0002397 0.0001798 0.01 1 0.6000 0.0002828 0.000274 0.0001798 0.01 1 0.8000 0.0003181 0.0003082 0.0001798 0.01 1 1.0000 0.0003534 0.0003425 0.0001798 0.0001 1 0.0000 0.0001767 0.0001712 1.798e-06 0.0001 1 0.2000 0.0002121 0.0002055 1.798e-06 0.0001 1 0.4000 0.0002474 0.0002397 1.798e-06 0.0001 1 0.6000 0.0002828 0.000274 1.798e-06 0.0001 1 0.8000 0.0003181 0.0003082 1.798e-06 0.0001 1 1.0000 0.0003534 0.0003425 1.798e-06 NU affects the time scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.0001767 0.0001712 0.01798 1 1 0.2000 0.0002121 0.0002055 0.01798 1 1 0.4000 0.0002474 0.0002397 0.01798 1 1 0.6000 0.0002828 0.000274 0.01798 1 1 0.8000 0.0003181 0.0003082 0.01798 1 1 1.0000 0.0003534 0.0003425 0.01798 1 0.1 0.0000 0.0001767 0.0001712 0.01798 1 0.1 0.2000 0.0001803 0.0001747 0.01798 1 0.1 0.4000 0.0001838 0.0001781 0.01798 1 0.1 0.6000 0.0001873 0.0001815 0.01798 1 0.1 0.8000 0.0001909 0.0001849 0.01798 1 0.1 1.0000 0.0001944 0.0001884 0.01798 1 0.01 0.0000 0.0001767 0.0001712 0.01798 1 0.01 0.2000 0.0001771 0.0001716 0.01798 1 0.01 0.4000 0.0001774 0.0001719 0.01798 1 0.01 0.6000 0.0001778 0.0001723 0.01798 1 0.01 0.8000 0.0001781 0.0001726 0.01798 1 0.01 1.0000 0.0001785 0.000173 0.01798 1 0.001 0.0000 0.0001767 0.0001712 0.01798 1 0.001 0.2000 0.0001768 0.0001713 0.01798 1 0.001 0.4000 0.0001768 0.0001713 0.01798 1 0.001 0.6000 0.0001768 0.0001714 0.01798 1 0.001 0.8000 0.0001769 0.0001714 0.01798 1 0.001 1.0000 0.0001769 0.0001714 0.01798 PARAMETER_TAYLOR_TEST Taylor Vortex Flow: Monitor solution norms over time for various values of NU, RHO. RHO affects the pressure scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.01571 0.01599 0.007905 1 1 0.2000 0.0003032 0.0003086 2.943e-06 1 1 0.4000 5.851e-06 5.955e-06 1.096e-09 1 1 0.6000 1.129e-07 1.149e-07 4.081e-13 1 1 0.8000 2.179e-09 2.217e-09 1.519e-16 1 1 1.0000 4.204e-11 4.278e-11 5.658e-20 0.01 1 0.0000 0.01571 0.01599 7.905e-05 0.01 1 0.2000 0.0003032 0.0003086 2.943e-08 0.01 1 0.4000 5.851e-06 5.955e-06 1.096e-11 0.01 1 0.6000 1.129e-07 1.149e-07 4.081e-15 0.01 1 0.8000 2.179e-09 2.217e-09 1.519e-18 0.01 1 1.0000 4.204e-11 4.278e-11 5.658e-22 0.0001 1 0.0000 0.01571 0.01599 7.905e-07 0.0001 1 0.2000 0.0003032 0.0003086 2.943e-10 0.0001 1 0.4000 5.851e-06 5.955e-06 1.096e-13 0.0001 1 0.6000 1.129e-07 1.149e-07 4.081e-17 0.0001 1 0.8000 2.179e-09 2.217e-09 1.519e-20 0.0001 1 1.0000 4.204e-11 4.278e-11 5.658e-24 NU affects the time scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.01571 0.01599 0.007905 1 1 0.2000 0.0003032 0.0003086 2.943e-06 1 1 0.4000 5.851e-06 5.955e-06 1.096e-09 1 1 0.6000 1.129e-07 1.149e-07 4.081e-13 1 1 0.8000 2.179e-09 2.217e-09 1.519e-16 1 1 1.0000 4.204e-11 4.278e-11 5.658e-20 1 0.1 0.0000 0.01571 0.01599 0.007905 1 0.1 0.2000 0.01059 0.01078 0.003589 1 0.1 0.4000 0.007135 0.007261 0.00163 1 0.1 0.6000 0.004808 0.004893 0.0007399 1 0.1 0.8000 0.00324 0.003297 0.000336 1 0.1 1.0000 0.002183 0.002222 0.0001525 1 0.01 0.0000 0.01571 0.01599 0.007905 1 0.01 0.2000 0.01511 0.01537 0.007305 1 0.01 0.4000 0.01452 0.01478 0.00675 1 0.01 0.6000 0.01396 0.01421 0.006238 1 0.01 0.8000 0.01342 0.01366 0.005764 1 0.01 1.0000 0.0129 0.01313 0.005327 1 0.001 0.0000 0.01571 0.01599 0.007905 1 0.001 0.2000 0.01565 0.01593 0.007843 1 0.001 0.4000 0.01559 0.01587 0.007781 1 0.001 0.6000 0.01553 0.0158 0.00772 1 0.001 0.8000 0.01547 0.01574 0.007659 1 0.001 1.0000 0.01541 0.01568 0.007599 PARAMETER_VORTEX_TEST Vortex Flow: Monitor solution norms over time for various values of NU, RHO. RHO affects the pressure scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.01588 0.01536 0.008127 1 1 0.2000 0.01588 0.01536 0.008127 1 1 0.4000 0.01588 0.01536 0.008127 1 1 0.6000 0.01588 0.01536 0.008127 1 1 0.8000 0.01588 0.01536 0.008127 1 1 1.0000 0.01588 0.01536 0.008127 0.01 1 0.0000 0.01588 0.01536 8.127e-05 0.01 1 0.2000 0.01588 0.01536 8.127e-05 0.01 1 0.4000 0.01588 0.01536 8.127e-05 0.01 1 0.6000 0.01588 0.01536 8.127e-05 0.01 1 0.8000 0.01588 0.01536 8.127e-05 0.01 1 1.0000 0.01588 0.01536 8.127e-05 0.0001 1 0.0000 0.01588 0.01536 8.127e-07 0.0001 1 0.2000 0.01588 0.01536 8.127e-07 0.0001 1 0.4000 0.01588 0.01536 8.127e-07 0.0001 1 0.6000 0.01588 0.01536 8.127e-07 0.0001 1 0.8000 0.01588 0.01536 8.127e-07 0.0001 1 1.0000 0.01588 0.01536 8.127e-07 NU affects the time scaling. RHO NU T ||U|| ||V|| ||P|| 1 1 0.0000 0.01588 0.01536 0.008127 1 1 0.2000 0.01588 0.01536 0.008127 1 1 0.4000 0.01588 0.01536 0.008127 1 1 0.6000 0.01588 0.01536 0.008127 1 1 0.8000 0.01588 0.01536 0.008127 1 1 1.0000 0.01588 0.01536 0.008127 1 0.1 0.0000 0.01588 0.01536 0.008127 1 0.1 0.2000 0.01588 0.01536 0.008127 1 0.1 0.4000 0.01588 0.01536 0.008127 1 0.1 0.6000 0.01588 0.01536 0.008127 1 0.1 0.8000 0.01588 0.01536 0.008127 1 0.1 1.0000 0.01588 0.01536 0.008127 1 0.01 0.0000 0.01588 0.01536 0.008127 1 0.01 0.2000 0.01588 0.01536 0.008127 1 0.01 0.4000 0.01588 0.01536 0.008127 1 0.01 0.6000 0.01588 0.01536 0.008127 1 0.01 0.8000 0.01588 0.01536 0.008127 1 0.01 1.0000 0.01588 0.01536 0.008127 1 0.001 0.0000 0.01588 0.01536 0.008127 1 0.001 0.2000 0.01588 0.01536 0.008127 1 0.001 0.4000 0.01588 0.01536 0.008127 1 0.001 0.6000 0.01588 0.01536 0.008127 1 0.001 0.8000 0.01588 0.01536 0.008127 1 0.001 1.0000 0.01588 0.01536 0.008127 RESID_LUKAS_TEST Lukas Bystricky Flow Sample the Navier-Stokes residuals at the initial time T = 0, on the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum Ur: 0 0 Vr: 0 1.77636e-15 Pr: 0 0 RESID_POISEUILLE_TEST Poiseuille Flow: Sample the Navier-Stokes residuals at the initial time T = 0, over a channel region. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum Ur: 0 0 Vr: 0 0 Pr: 0 0 RESID_SPIRAL_TEST Spiral Flow: Sample the Navier-Stokes residuals at the initial time T = 0, on the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum Ur: 0 0 Vr: 0 0 Pr: 0 0 RESID_TAYLOR_TEST Taylor Vortex Flow: Sample the Navier-Stokes residuals at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum Ur: 0 3.55271e-15 Vr: 0 3.55271e-15 Pr: 0 0 RESID_VORTEX_TEST Vortex Flow: Sample the Navier-Stokes residuals at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum Ur: 0 3.55271e-15 Vr: 0 3.55271e-15 Pr: 0 0 RHS_LUKAS_TEST Lukas Bystricky Flow Sample the Navier-Stokes right hand sides at the initial time T = 0, using the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum F: -3.1575 3.15751 G: -8.79482 0.935149 H: 0 0 RHS_POISEUILLE_TEST Poiseuille Flow: Sample the Navier-Stokes right hand sides at the initial time T = 0, over a channel region. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum F: 0 0 G: 0 0 H: 0 0 RHS_SPIRAL_TEST Spiral Flow: Sample the Navier-Stokes right hand sides at the initial time T = 0, using the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum F: -0.761154 0.763694 G: 0.23586 1.76464 H: 0 0 RHS_TAYLOR_TEST Taylor Vortex Flow: Sample the Navier-Stokes right hand sides at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum F: 0 0 G: 0 0 H: 0 0 RHS_VORTEX_TEST Vortex Flow: Sample the Navier-Stokes right hand sides at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum F: -19.7152 19.6136 G: -19.7197 19.7284 H: 0 0 UVP_LUKAS_TEST Lukas Bystricky Flow Estimate the range of velocity and pressure at the initial time T = 0, in the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: -0.318305 0.318303 V: -0.991674 -0.000268753 P: 0 0 UVP_POISEUILLE_TEST Poiseuille Flow: Estimate the range of velocity and pressure at the initial time T = 0, in a channel region. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: 0.010254 0.999996 V: 0 0 P: -11.9749 -0.0220605 UVP_SPIRAL_TEST Spiral Flow: Estimate the range of velocity and pressure at the initial time T = 0, in the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: -0.0119441 0.0119905 V: -0.0120032 0.011991 P: 0.00296933 0.99743 UVP_TAYLOR_TEST Taylor Flow: Estimate the range of velocity and pressure at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: -0.997425 0.992956 V: -0.998769 0.998312 P: -0.498148 0.498566 UVP_VORTEX_TEST Vortex Flow: Estimate the range of velocity and pressure at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: -0.998786 0.993636 V: -0.999012 0.999454 P: -0.49917 0.499641 UVP2_LUKAS_TEST Lukas Bystricky Flow Estimate the range of velocity and pressure on the boundary at the initial time T = 0, in the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: -0.31831 0.31831 V: -0.999874 -0 P: 0 0 UVP2_POISEUILLE_TEST Poiseuille Flow: Estimate the range of velocity and pressure on the boundary at the initial time T = 0, over a channel region. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: 0 0.999898 V: 0 0 P: -12 -0 UVP2_SPIRAL_TEST Spiral Flow: Estimate the range of velocity and pressure on the boundary at the initial time T = 0, in the unit square. Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: 0 0 V: -0 -0 P: 0 1 UVP2_TAYLOR_TEST Taylor Flow: Estimate the range of velocity and pressure on the boundary at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: -0.999874 0.999874 V: -0.999874 0.999874 P: 0.000125864 0.5 UVP2_VORTEX_TEST Vortex Flow: Estimate the range of velocity and pressure on the boundary at the initial time T = 0, using a region that is the square centered at (1.5,1.5) with "radius" 1.0, Kinematic viscosity NU = 1 Fluid density RHO = 1 Minimum Maximum U: -0.999874 0.999874 V: -0.999874 0.999874 P: 0.000125864 0.5 navier_stokes_2d_exact_test: Normal end of execution. 17-Feb-2019 19:53:16