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

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Old   July 9, 2013, 09:46
Default Does it make any sense to use rotation rate tensor for production estimation?
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Daniel WEI (老魏)
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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?
Daniel WEI
Boeing Research & Technology - China
Beijing, China
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