# Rhie-chow interpolation

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 November 19, 2009, 13:05 Rhie-chow interpolation #1 New Member   Join Date: Nov 2009 Posts: 3 Rep Power: 8 Hello! I'm trying to develop a code that solves flow problems on collocated grids, using a SIMPLE-type algorythm and Rhie-Chow interpolation of face values from cell center values. It is something like: http://www.cfd-online.com/Wiki/Rhie-Chow_interpolation . I have a misunderstanding: what to do in case a_p=0? How to interpolate then? Thanks in advance!

 November 24, 2009, 13:28 #2 Senior Member     p ding Join Date: Mar 2009 Posts: 291 Rep Power: 9 ap=0? could you please tell me how did you get this result. It is impossible to get a 0

November 24, 2009, 18:55
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 Originally Posted by ztdep ap=0? could you please tell me how did you get this result. It is impossible to get a 0
imagine such a model case: invisid flow, say using the 1st order upwind scheme, say two flows equal in magnitude but opposite in direction, then in the region where they meet we have such a situation in computation

 December 18, 2009, 16:15 #4 New Member   Join Date: Nov 2009 Posts: 3 Rep Power: 8 Sorry, but couldn't anyone really explain please, why anywhere where Rhie-chow interpolationis described, the possibility when a_p or other coefficient (that can be seen in the denominator) equals zero, isn't regarded though it may really take place? Thanks in advance!

December 18, 2009, 20:34
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 Originally Posted by anya Sorry, but couldn't anyone really explain please, why anywhere where Rhie-chow interpolationis described, the possibility when a_p or other coefficient (that can be seen in the denominator) equals zero, isn't regarded though it may really take place? Thanks in advance!
ztdep@yahoo.com.cn comtanct me.

December 19, 2009, 05:56
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 Originally Posted by anya Sorry, but couldn't anyone really explain please, why anywhere where Rhie-chow interpolationis described, the possibility when a_p or other coefficient (that can be seen in the denominator) equals zero, isn't regarded though it may really take place? Thanks in advance!
i do not know about your case, but if it happens, the condition will not be satisfied and you can not solve the equations based on the patankar rules.

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