Subgrid scale model for isotropic turbulence
Abstract
Eddy viscosity models representing subgrid scale stresses which are responsible for the energy transfer between small and large eddies are discussed, and a new model is introduced which takes small eddies into account in a statistical way and also takes viscous effects into account. For the large eddy simulation and subgrid scale stresses, the filtering of the equations and the analysis of the stresses is shown. For the models, the effective viscosity and eddy viscosity are analyzed, and the use of spectral closures to formulate effective viscosity and evaluate eddy viscosity is discussed, using Kolmogorov's constant as the one adjustable parameter. Smagorinsky's (1963) model and that of Cholet and Lesieur (1982) are analyzed and compared with experimental results. The new model is analyzed for both high and low Reynolds number and compared with experiment. Contrary to Smagorinsky's original empirical formulation, the new modelling procedure can be extended to anisotropic flows.
- Publication:
-
ONERA
- Pub Date:
- 1982
- Bibcode:
- 1982simf.proc.....A
- Keywords:
-
- Eddy Viscosity;
- Isotropic Turbulence;
- Scale Models;
- Turbulence Models;
- Energy Spectra;
- High Reynolds Number;
- Low Reynolds Number;
- Fluid Mechanics and Heat Transfer