SIMPLE on collocated grid
Hello,
I am a newbie so please bare with me. I am trying to write a SIMPLE steady state solver on unstructured grid using collocated storage. So far it can solve convectiondiffusion transport equations for a given correct velocitypressure field. But I am now stuck on the pressurecorrection for collocated storage of variables. It seems that from the momentum equation I can get velocity correction (at center) in terms of face pressure corrections by dropping the neighboring cells contribution (according to SIMPLE) : Code:
up' = Sum(N dot pf') / ap Code:
Sum(N dot (rho * uf)) = 0 I was under the impression that the collocated scheme will be easier to implement atleast until I try to solve the "checker board" problem with rhiechow or other methods. I have books but none of them give numerical example of SIMPLE on collocated grid, and I am content with having the checkerboard problem and other problems due to nonorthogonality of mesh at least for the time being. Thanks in advance. 
Ok I got it now. The velocity correction is actually not done at the centre but the faces. After an odd way of interpolating the coefficents (1/ap) , it will be similar to the procedure given in Patankar's book.

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