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lakeat

July 9, 2013 09:46

Does it make any sense to use rotation rate tensor for production estimation?

Hi,

It seems to me many CFD codes when they are doing the turbulence modeling using the relation $\tau_{ij}{\partial _j}{U_i}=\tau_{ij}W_{ij}$ instead of using strain-rate tensor, i.e., $\tau_{ij}{\partial _j}{U_i}=\tau_{ij}S_{ij}$ for the sake of numerical friendness.

I fully understand why $\tau_{ij}{\partial _j}{U_i}=\tau_{ij}S_{ij}$ .

But it seems to me that $\tau_{ij}W_{ij}=0$ due to $W_{12}=-W_{21}, W_{13}=-W_{31}, W_{23}=-W_{32}, W_{11}=W_{22}=W_{33}=0$ .

Am I missing something?

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