# Stationary Stokes flow with FVM

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 May 4, 2009, 11:00 Stationary Stokes flow with FVM #1 New Member   Christoph Heinrich Join Date: Mar 2009 Posts: 12 Rep Power: 9 Hi everybody, at the moment I am trying to implement a stationary Stokes solver in Matlab for a simple geometry. I am using the FVM with midpoint rule and CDS. In the pressure field I get oscillations. How can I circumvent this problem on a collocated grid? Any idea? Thanks in advance! Kind regards Christoph

 May 5, 2009, 12:30 #2 Senior Member   Henrik Rusche Join Date: Mar 2009 Location: Braunschweig, Niedersachsen, Germany Posts: 275 Rep Power: 10 Dear Christoph, you need to do Rhie & Chow interpolation to avoid pressure-velocity decoupling on collocated grids. http://www.tfd.chalmers.se/~hani/kurser/OS_CFD_2007/rhiechow.pdf Reference to original paper: http://powerlab.fsb.hr/ped/kturbo/Op...jeJasakPhD.pdf Henrik

August 27, 2012, 08:50
#3
New Member

Lun Yu
Join Date: Aug 2012
Posts: 8
Rep Power: 6
Quote:
 Originally Posted by henrik Dear Christoph, you need to do Rhie & Chow interpolation to avoid pressure-velocity decoupling on collocated grids. http://www.tfd.chalmers.se/~hani/kurser/OS_CFD_2007/rhiechow.pdf Reference to original paper: http://powerlab.fsb.hr/ped/kturbo/Op...jeJasakPhD.pdf Henrik
Hi, Henrik
I suppose the Rhie-Chow interpolation mentioned by Fabian Peng Karrholm does not exist in Openfoam at all. According to Rhie-Chow interpolation, we should have interpolation for U and p on surface respectively. I have felt puzzled for a long time about how to make it in openfoam. I tried this:
volScalarField Vmesh=mesh.V()
phi=fvc::interpolate(U) & mesh.Sf()
- pEqn.flux()
I suppose these three above items are what Rhie-Chow interpolation is, but the compiling of it failed. I don't know why and how to correct it. Could you do me a favor?

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