Convergence pressure correction equation
Dear all, I finally got my little CFD code to work (FVM, SIMPLE method, steadyflow, 2D incompressible code for the lid-driven cavity problem). However I'm experiencing some convergence issues.
I'm using upwind discretization for the convective terms and Gauss-Seidel + relaxation (SOR) solution method. I am having a hard time making the pressure correction to converge.
In each iteration of the SIMPLE method loop I update the velocity and pressure field like this:
, where u and v are the velocity components, p is the pressure, ustar, vstar and pstar refer to the guessed velocity and pressure fields and alpha_p is a relaxation coefficient I use to avoid instabilities.
For a 20cell x 20cell grid and Reynolds number 100 I am obliged to use an extremely low value for alpha_p (alpha_p = 0.01).
Did anyone found the same problem? Do you think this is a normal value for the relaxation coefficient? If you computed the same problem, which value of alpha_p did you use?
Thank you in advance for your help.
P.S: The code seems to work well for coarse grids, but it seems impossible to me to compute larger grids, it does not converge.
Sorry, I just wanted to bring this up again.
Any hint from anyone?
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