Assessment of the Generalized Normal Stress and the Bardina Reynolds Stress Subgrid-Scale Models in Large Eddy Simulation

Abstract

Assessment of a recently proposed subgrid-scale(SGS) eddy viscosity model (Horiuti 1993) in large eddy simulation(LES) is made utilizing the direct numerical simulation(DNS) database for fully developed turbulent channel and mixing layer flows. In this new model (generalized normal stress model), the SGS normal shear stress is adopted as for its representative velocity scale in place of the total SGS energy adopted in the conventional Smagorinsky model(Smagorinsky 1963), and the eddy viscosity coefficients are made non-isotropic to preserve the tensorial invariance of the SGS Reynolds stresses. Evaluation of the proposed model is also done in the actual LES of channel and mixing layer flows, and it is shown that the proposed model is equally useful as the Smagorinsky model containing the Van Driest damping functions. As an alternative SGS modeling approach for the conventional eddy viscosity models, a possibility of the use of the scale similarity model to carry out LES computations is investigated.