Constructing Physically Consistent Subgrid-Scale Models for Large-Eddy Simulation of Incompressible Turbulent Flows

Abstract

We studied the construction of subgrid-scale models for large-eddy simulation of incompressible turbulent flows, focusing on consistency with important mathematical and physical properties. In particular, we considered the symmetries of the Navier-Stokes equations, and the near-wall scaling and dissipation behavior of the turbulent stresses. After showing that existing models do not all satisfy the desired properties, we discussed a general class of subgrid-scale models based on the local filtered velocity gradient. We provided examples of models from this class that preserve several of the symmetries of the Navier-Stokes equations and exhibit the same near-wall scaling behavior as the turbulent stresses. Furthermore, these models are capable of describing nondissipative effects.