Physically-consistent subgrid-scale models for large-eddy simulation of incompressible turbulent flows

Abstract

Assuming a general constitutive relation for the turbulent stresses in terms of the local large-scale velocity gradient, we constructed a class of subgrid-scale models for large-eddy simulation that are consistent with important physical and mathematical properties. In particular, they preserve symmetries of the Navier-Stokes equations and exhibit the proper near-wall scaling. They furthermore show desirable dissipation behavior and are capable of describing nondissipative effects. We provided examples of such physically-consistent models and showed that existing subgrid-scale models do not all satisfy the desired properties.

arXiv comment11 pages, 3 tables, preprint for the 4th International Conference on Turbulence and Interactions (TI2015)

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• Physical consistency of subgrid-scale models for large-eddy simulation of incompressible turbulent flows