implementation of upwind scheme in MATLAB

15 visualizaciones (últimos 30 días)
Nathan Bblanc
Nathan Bblanc el 21 de Dic. de 2021
More of a CFD or numerical analysis question than a proper MATLAB question but I will try my luck.
I am trying to implement an upwind scheme in MATLAB, in order to solve a 1D compressible navier stokes equation, with a periodic boundary condition:
I am trying to perform the spatial diffrentiation using an upwind scheme, see the attahced file "upWindDiffv2". the scheme should be TVD or numericaly stable but it isn't, I get substantial numerical oscilations and the code diverges. see the attached file "main", it includes a "video" of the solution where the solution clearly diverges.
I am performing the temporal integration using eulers method. I tried other temporal integration methods and they did not work either. note that the CFL criterion is more than satisfied.
I am not sure what I am doing wrong. would be thankfull for any assistance.
Nathan

Respuestas (0)

Categorías

Más información sobre Computational Fluid Dynamics (CFD) en Help Center y File Exchange.

Productos


Versión

R2021b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by