A nonequilibrium fixed-parameter subgrid-scale model obeying the near-wall asymptotic constraint

Abstract

A subgrid-scale (SGS) model is presented with two fixed nondimensional model parameters adopted, which is in the same line of the Smagorinsky model combined with Van Driest’s wall damping function. The proposed model, however, possesses two features that are typical of the dynamic SGS modeling. One is that it is not based on the equilibrium assumption about the SGS-energy production and dissipation rates. The other is that the model is not dependent on a wall-unit coordinate and obeys the correct near-wall asymptotic behavior, unlike the Smagorinsky–Van Driest model. This model is applied to channel flows, and the computed results are discussed in comparison with the direct numerical simulation and the Smagorinsky–Van Driest model. Special attention is paid to the dependence of the results on the Reynolds number, the grid resolution, and the choice of a filter function.