burgers_steady_viscous_test

burgers_steady_viscous_test, an Octave code which calls burgers_steady_viscous() to solve the steady (time-independent) viscous Burgers equation using a finite difference discretization of the conservative form of the equation.

Licensing:

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

Related Data and Programs:

burgers_steady_viscous, an Octave code which solves the steady (time-independent) viscous Burgers equation using a finite difference method (FDM) discretization of the conservative form of the equation, and then applying Newton's method to solve the resulting nonlinear system.

Source Code:

• burgers_steady_viscous_test.m, calls all the tests.
• burgers_steady_viscous_test.sh, runs all the tests.
• burgers_steady_viscous_test.txt, the output file.
• bsv_test01.m, runs a simple test with A = -1, ALPHA = +1, B = +1, BETA = -1, NU = 0.1.
• bsv_test02.m, runs a simple test with A = -1, ALPHA = +1, B = +1, BETA = -1, and a range of NU values.
• bsv_test03.m, runs a simple test with A = -1, B = +1, BETA = -1, NU = 0.1. and a range of ALPHA values.
• bsv_test04.m, runs a simple test with ALPHA = +1, B = +1, BETA = -1, NU = 0.1. and a range of A values.
• bsv_test05.m, examines the location of the zero-crossing of the solution as ALPHA is varied.
• bsv_test06.m, estimates the expected value of the zero crossing assuming ALPHA is a Gaussian variable with mean 1 and standard deviation 0.05.
• bsv_test07.m, estimates the variance of the zero crossing assuming ALPHA is a Gaussian variable with mean 1 and standard deviation 0.05.
• bsv_test08.m, compares BSV and BSV_UPWIND for NU = 0.1 and NU = 0.01.
• bsv_test01.png, a plot of the solution as displayed by bsv_test01.
• bsv_test02.png, a plot of the solutions as displayed by bsv_test02.
• bsv_test03.png, a plot of the solutions as displayed by bsv_test03.
• bsv_test04.png, a plot of the solutions as displayed by bsv_test04.
• bsv_test05.png, a plot of the relation between ALPHA and the zero crossing.
• bsv_test08.png, a plot comparing two runs of BSV and BSV_UPWIND.
• tanh_plot.m, plots a sequence of functions u = tanh(2^j*x/2), scaled to be +1 at x=-1, suggesting the behavior of solutions of Burgers equation.
• tanh_plot.png, the plot created by tanh_plot.m.