Large eddy simulations of turbulent channel and boundary layer flows at high Reynolds number with mean wall shear stress boundary condition

Abstract

In this study, we investigate the applicability of the mean wall shear stress as a boundary condition for large eddy simulation of wall-bounded turbulent flow with coarse-grid resolution near the wall. We consider turbulent channel flow up to Reτ = O(108) and turbulent boundary layer flow up to Reθ = O(107). The mean wall shear stress is determined based on the log-law at every time step. It is shown that the mean wall shear stress boundary condition accurately predicts the logarithmic velocity profile and low-order turbulence statistics even with very coarse-grid spacing near the wall.