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

Silvis, M. H., Verstappen, R.

arXiv: 1510.07881 [physics.flu-dyn] (2015).

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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.