[volker]

Hi,

I'm planning to implement a curvature correction term to an explicit algebraic reynolds stress model based on the existing k-e-model of Launder and Sharma in order to sensitize the Launder-Sharma-model to streamline curvature.
The curvature correction term is to be implemented according to P.E. Smirnov and F.R. Menter "Sensitization of the SST Turbulence Model to Rotation and Curvature by Applying the Spalart-Shur Correction Term".
I ran into problems quite fast. There is a term, which is the material derivative of the shear strain tensor. The implementation is not straight-forward, especially in tensor notation. Either one has somehow to implement a summing over all faces of a control volume or to evaluate the gradient of the shear strain tensor, which leads to a tensor of third order. And right now, I do not see a way to get rid of this problem.
Does anyone has already tried to implement a curvature correction or has any experience on that? Or even know how to implement a material derivative of a tensor?

I'm glad for any hint.

Greets, volker