# SIMPLE on collocated grid

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 August 17, 2010, 17:15 SIMPLE on collocated grid #1 New Member   Join Date: Jun 2009 Posts: 27 Rep Power: 9 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 convection-diffusion transport equations for a given correct velocity-pressure field. But I am now stuck on the pressure-correction 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 From continuity : Code: Sum(N dot (rho * uf)) = 0 The velocity correction obtained from continuity is at the faces but the one I have from the momentum eqn is at the cell centers. How do I go on from this ? Do I just interpolate the corrections too and form a discretized equation ? 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 rhie-chow 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 non-orthogonality of mesh at least for the time being. Thanks in advance.

 August 17, 2010, 21:31 #2 New Member   Join Date: Jun 2009 Posts: 27 Rep Power: 9 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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