burgers_time_viscous_test

burgers_time_viscous_test, a MATLAB program which calls burgers_time_viscous to solve the time-dependent viscous Burgers equation using a finite difference discretization of the conservative form of the equation, and then carrying out a simple parabolic integration scheme.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

burgers_time_viscous, a MATLAB library which solves the time-dependent viscous Burgers equation using a finite difference method (FDM) discretization of the conservative form of the equation.

Source Code:

• burgers_time_viscous_test.m, calls all the tests.
• burgers_time_viscous_test.sh, runs all the tests.
• burgers_time_viscous_test.txt, the output file.
• btv_test01.m, gaussian initial condition, periodic boundary conditions.
• btv_test01.png, a plot of several successive solutions.
• btv_test02.m, gaussian initial condition, Dirichlet left and right.
• btv_test02.png
• btv_test03.m, gaussian initial condition, Dirichlet left, Neumann right.
• btv_test03.png, a plot of several successive solutions.
• btv_test04.m, shock initial condition, periodic boundary condition.
• btv_test04.png,
• btv_test05.m, expansion initial condition, periodic boundary condition.
• btv_test05.png,
• btv_test06.m, spline initial condition, periodic boundary condition.
• btv_test06.png,
• btv_test07.m, gaussian initial condition, plot solutions as a 3D surface.
• btv_test07.png,
• btv_test08.m, spline initial condition, draw profile at final time.
• btv_test08.png,
• btv_test09.m, spike initial condition, periodic boundary conditions.
• btv_test09.png,
• btv_test10.m, shock initial condition, Dirichlet boundary conditions.
• btv_test10.png,