A proposed statistical-dynamic closure method for the linear or nonlinear subgrid-scale stresses

Abstract

Following the dynamic subgrid-scale (SGS) modeling developed by Germano et al. [Phys. Fluids A 3, 1760 (1991)] and Lilly [Phys. Fluids A 4, 633 (1992)], a multidimensional statistical-dynamic closure method for the linear or nonlinear anisotropic representation of the SGS stresses is proposed. This method converts all previously prescribed SGS model coefficients for turbulent flows to nonsingular and self-determined parameters, and in principle it does not share most deficiencies of the Smagorinsky formulation for SGS eddy viscosity. During large-eddy simulations, the SGS representation will be locally and dynamically adjusted to match the statistical structure of the resolved turbulent eddies.