A wall model based on simplified thin boundary layer equations for implicit Large Eddy Simulation of turbulent channel flow

Abstract

In order to perform implicit Large Eddy Simulation (LES) of high Reynolds number wall-bounded flows, a wall model based on simplified Thin Boundary Layer Equations (TBLE) is designed and applied to turbulent channel flow for a wide range of friction Reynolds numbers up to Re _τ =20,000. The prediction capability of the employed wall model concerning mean velocities and Reynolds stresses is satisfactory, even on very coarse LES grids. The coupling position between the simplified TBLE model and the LES should be located at the bottom of the logarithmic region. The grid resolution requirement depends mainly on the embedded TBLE grids and is only weakly dependent on the Reynolds number.