Dear Shahin,

The original and dynamic Smagorinsky-Lilly models are essentially algebraic models in which subgrid-scale stresses are parameterized using the resolved velocity scales. The underlying assumption is the local equilibrium between the transferred energy through the grid-filter scale and the dissipation of kinetic energy at small subgrid scales. The subgrid-scale turbulence can be better modeled by accounting for the transport of the subgrid-scale turbulence kinetic energy.

Wall-Adapting Local Eddy-viscosity (WALE) model is designed to return the correct wall asymptotic behavior for wall bounded flows.

Here is a good paper where 3 (SGS) models are compared:

“Assessment of SubGrid-Scale Modeling for Large-Eddy Eimulation of a Spatially-Evolving Compressible Turbulent Boundary Layer”.

Regards

Dear Shahin,

The original and dynamic Smagorinsky-Lilly models are essentially algebraic models in which subgrid-scale stresses are parameterized using the resolved velocity scales. The underlying assumption is the local equilibrium between the transferred energy through the grid-filter scale and the dissipation of kinetic energy at small subgrid scales. The subgrid-scale turbulence can be better modeled by accounting for the transport of the subgrid-scale turbulence kinetic energy.

Wall-Adapting Local Eddy-viscosity (WALE) model is designed to return the correct wall asymptotic behavior for wall bounded flows.

Here is a good paper where 3 (SGS) models are compared:

“Assessment of SubGrid-Scale Modeling for Large-Eddy Eimulation of a Spatially-Evolving Compressible Turbulent Boundary Layer”.

Regards

While I agree with the previous post of Mounir Bouaifi, I am not sure about the original question.

What do you mean for difference in filtering the scalar transport equation?

Filtering is a general operation that you apply onto the equations and then you deduce the terms to be modelled. But why do you asked for "scalar"? It makes more sense if you consider the full non-linear system of equations.

Dear Dr. Bouaifi and Dr. Denaro

Thanks for your help and kindness. I think I have found what I wanted.