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According to the Smagorinsky-Lilly SGS model, the SGS stresses depend on the ___________

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According to the Smagorinsky-Lilly SGS model, the SGS stresses depend on the ___________

(a) Rate of strain of the SGS eddies

(b) Rate of strain of the resolved flow

(c) Strain of the resolved flow

(d) Strain of the SGS eddies

The question was posed to me in my homework.

My question is based upon Turbulence Modelling topic in section Turbulence Modelling of Computational Fluid Dynamics

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Right choice is (b) Rate of strain of the resolved flow

To explain: To define the effects of the unresolved SGS eddies on the resolved flow, the Smagorinsky-Lilly SGS model uses the Boussinesq hypothesis. So, the SGS stresses depend on the local rate of strain of the resolved flow.

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