Rhie-chow interpolation

anya · November 19, 2009, 12:05

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!

ztdep · November 24, 2009, 12:28

ap=0? could you please tell me how did you get this result. It is impossible to get a 0

anya · November 24, 2009, 17:55

Quote:

Originally Posted by ztdep

ap=0? could you please tell me how did you get this result. It is impossible to get a 0

Thank you for your reply!
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
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anya · December 18, 2009, 15:15

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 · December 18, 2009, 19:34

Quote:

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.

hadian · December 19, 2009, 04:56

Quote:

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 $|a_p|\geq\sum|a_{nb}|$ will not be satisfied and you can not solve the equations based on the patankar rules.

November 19, 2009, 12:05	Rhie-chow interpolation	#1
anya New Member Join Date: Nov 2009 Posts: 3 Rep Power: 16	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!

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November 24, 2009, 12:28		#2
ztdep Senior Member p ding Join Date: Mar 2009 Posts: 427 Rep Power: 19	ap=0? could you please tell me how did you get this result. It is impossible to get a 0

December 18, 2009, 15:15		#4
anya New Member Join Date: Nov 2009 Posts: 3 Rep Power: 16	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!