Wall-modeled LES using the anisotropy resolving one-equation SGS model

The idea of the analytical wall function (AWF) for RANS is applied to the SGS eddy viscosity inside the wall-adjacent-cells (wall-cells). With a modeled profile of the eddy-viscosity in the relatively coarse wall-cells, this wall model (SGS-AWF) integrates the thin-layer approximated momentum equation that includes the temporal, convection, and pressure gradient terms, to give the wall shear stress as the wall boundary condition of the momentum equation. The model coefficient of the SGS-AWF depends dynamically on the ratio of the SGS and GS time-scales. Coupled with the anisotropy resolving one-equation SGS model proposed by Abe (2013), the SGS-AWF is confirmed to perform better than the traditional wall-modeled LES in a separating and reattaching flow.