An eddy-viscosity based near-wall treatment for coarse grid large-eddy simulation

Abstract

An eddy-viscosity-based near-wall treatment is proposed to enable large-eddy simulations (LES) to be performed on coarse grids. This formulation consists of imposing wall stress boundary conditions and an eddy viscosity in the near-wall region. The wall stress and eddy viscosity have a Reynolds-averaged Navier-Stokes-like character and are obtained from an averaged velocity profile of a resolved LES of channel flow at Reτ=395. Both are tabulated and are used for the instantaneous quantities. The tabulated eddy viscosity is further corrected using the resolved turbulent stress. Numerical results for flow in a channel at several Reynolds numbers ranging from Reτ=395 to Reτ=10000 are presented.