A proper velocity scale for modeling subgrid-scale eddy viscosities in large eddy simulation

The limitations of the commonly used Smagorinsky subgrid‐scale (SGS) eddy viscosity model in large eddy simulation (LES) of turbulent flows are that the model’s eddy viscosity constant must be optimized in different flows, and also that a damping function must be used to account for near‐wall effects. A new SGS model which mitigates these drawbacks is proposed, i.e., a more proper eddy viscosity velocity scale was determined by utilizing the third‐order terms in an anisotropic representation model of the Reynolds stresses [K. Horiuti, Phys. Fluids A 2, 1708 (1990)]. This method utilizes the direct numerical simulation (DNS) database for fully developed turbulent channel flow to show these drawbacks to be inherent in the use of an improper velocity scale, i.e., the total SGS energy component adopted in the Smagorinsky model. As a result, the SGS normal shear stress was alternatively employed as the velocity scale, thereby significantly improving the correlation with DNS data. Methods to correlate the SGS n...

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