CFD Online Discussion Forums (http://www.cfd-online.com/Forums/)
-   Main CFD Forum (http://www.cfd-online.com/Forums/main/)
-   -   WALE model definition !? (http://www.cfd-online.com/Forums/main/122997-wale-model-definition.html)

 akm September 2, 2013 10:49

WALE model definition !?

Hello,

I'm trying to implement WALE model in LES code using Fortran for channel flow.
Now the model definition for sgs viscosity is:

=

where, =

I'm having problems understanding the last term in the above equation .
Can anyone please explain how to expand the above term?

Cheers

 sbaffini September 2, 2013 13:26

It seems that there is some algebra which can be exploited:

http://www.math.univ-montp2.fr/~nico...S_BayaToda.pdf

However, if you define S2=S^2 and W2=W^2 (S_ik S_kj & W_ik W_kj rispectively), you will notice that the term is just S2_mn W2_nm... i guess

 Rami October 3, 2013 05:18

It seems that tensor notation is used here, implying summation of repeated indices. If this is the case, the last equation is merely a sum over the all the indices i,j,k,l (each in the proper range, e.g. from 1 to 3 in 3D).

 All times are GMT -4. The time now is 00:32.