navier_stokes_2d_exact_test

navier_stokes_2d_exact_test, a MATLAB code which calls navier_stokes_2d_exact(), which evaluates exact solutions to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Related Data and Programs:

navier_stokes_2d_exact, a MATLAB code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.

Source Code:

• navier_stokes_2d_exact_test.m, calls all the tests.
• navier_stokes_2d_exact_test.sh, runs all the tests.
• navier_stokes_2d_exact_test.txt, the output file.

Plot the flow field:

• gnuplot_cavity_test.m
• gnuplot_exppoly_test.m
• gnuplot_exptrig_test.m
• gnuplot_gms_test.m
• gnuplot_lukas_test.m
• gnuplot_poiseuille_test.m
• gnuplot_spiral_test.m
• gnuplot_taylor_test.m
• gnuplot_vortex_test.m

Sample the flow norms over time for various values of NU and RHO:

• parameter_poiseuille_test.m
• parameter_spiral_test.m
• parameter_taylor_test.m,
• parameter_vortex_test.m

Sample the residuals of the U, V and P equations over the region.

• resid_cavity_test.m
• resid_exppoly_test.m
• resid_exptrig_test.m
• resid_gms_test.m
• resid_lukas_test.m
• resid_poiseuille_test.m
• resid_spiral_test.m
• resid_taylor_test.m
• resid_vortex_test.m

Sample the U, V and P source terms or "right hand sides" over the region.

• rhs_cavity_test.m
• rhs_exppoly_test.m
• rhs_exptrig_test.m
• rhs_gms_test.m
• rhs_lukas_test.m
• rhs_poiseuille_test.m
• rhs_spiral_test.m
• rhs_taylor_test.m
• rhs_vortex_test.m

Sample the U, V and P solution values over the interior of the region.

• uvp_cavity_test.m
• uvp_exppoly_test.m
• uvp_exptrig_test.m
• uvp_gms_test.m
• uvp_lukas_test.m
• uvp_poiseuille_test.m
• uvp_spiral_test.m
• uvp_taylor_test.m
• uvp_vortex_test.m

Sample the U, V and P solution values along the boundary of the region.

• uvp2_cavity_test.m
• uvp2_exppoly_test.m
• uvp2_exptrig_test.m
• uvp2_gms_test.m
• uvp2_lukas_test.m
• uvp2_poiseuille_test.m
• uvp2_spiral_test.m
• uvp2_taylor_test.m
• uvp2_vortex_test.m

cavity flow:

• cavity_commands.txt, commands to draw the velocity field.
• cavity_data.txt, velocity field data.
• cavity.png, a PNG plot of the velocity field.

exppoly flow:

• exppoly_commands.txt, commands to draw the velocity field.
• exppoly_data.txt, velocity field data.
• exppoly.png, a PNG plot of the velocity field.

exptrig flow:

• exptrig_commands.txt, commands to draw the velocity field.
• exptrig_data.txt, velocity field data.
• exptrig_png, a PNG plot of the velocity field.

GMS flow:

• gms_commands.txt, commands to draw the velocity field.
• gms_data.txt, velocity field data.
• gms.png, a PNG plot of the velocity field.

Lukas Bystricky flow:

• lukas_commands.txt, commands to draw the velocity field.
• lukas_data.txt, velocity field data.
• lukas.png, a PNG plot of the velocity field.

Poiseuille flow:

• poiseuille_commands.txt, commands to draw the velocity field.
• poiseuille_data.txt, velocity field data.
• poiseuille.png, a PNG plot of the velocity field.

Spiral flow:

• spiral_commands.txt, commands to draw the velocity field.
• spiral_data.txt, velocity field data.
• spiral.png, a PNG plot of the velocity field.

Taylor flow:

• taylor_commands.txt, commands to draw the velocity field.
• taylor_data.txt, velocity field data.
• taylor.png, a PNG plot of the velocity field.

Vortex flow:

• vortex_commands.txt, commands to draw the velocity field.
• vortex_data.txt, velocity field data.
• vortex.png, a PNG plot of the velocity field.