FM24S_12430:Thu:1525:327
XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

A New Mixed Nonlinear LES Models for Boundary Layers

R.M. Kerr, P.G.Tucker
School of Engineering, University of Warwick, UK


It is shown for plane channel flow that a new mixed nonlinear/eddy viscosity model reproduces the mean profile of a benchmark dynamic LES and DNS. Profiles of the components of kinetic energy have the same shape as in the DNS, but the magnitudes differ by between 25\% and 50\%. There are three components to the model. URANS for $k_T$ with a damping function in the viscous sublayer, an eddy viscosity based upon $k_T$, and filtered nonlinear terms imposed on the grid scale that are based upon the Leray regularization. Coefficients were determined by theoretical considerations of the energy cascade and discretization on the grid-scale, then checked by comparing to isotropic decaying turbulence,



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