# How to solve this formula?

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October 14, 2013, 21:15
How to solve this formula?
#1
Senior Member

Dongyue Li
Join Date: Jun 2012
Location: Torino, Italy
Posts: 754
Rep Power: 10
Hi guys,

I am a newbie on this model. I need you help on this. This is a model called gao-yong turbulence model.

"Partial-average-based equations of in-compressible turbulent flow"
Ge Gao. Yan Yong.

In this model, we have a equation like this:see the attached image.

We know u and p. tau can be expressed by vector l.

The right of this equation is a little different with the normal N-S equation. There is a vector l , and the whole right part, which is different with the N-S equation, is a inner product of two vectors. Im using FVM. So now I dont know how to discretize it. Any ideas will be appreciated. Thanks in advance.
Attached Images
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 October 15, 2013, 20:56 #2 Senior Member   Dongyue Li Join Date: Jun 2012 Location: Torino, Italy Posts: 754 Rep Power: 10 Any ideas? Thanks.

 October 15, 2013, 22:37 #3 Senior Member   Dongyue Li Join Date: Jun 2012 Location: Torino, Italy Posts: 754 Rep Power: 10 A little progress: In the equation I posted, I should solve the mag(l). But how? I dont know.

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