Toward the largeeddy simulation of compressible turbulent flows
Abstract
New subgridscale models for the largeeddy simulation of compressible turbulent flows are developed and tested based on the Favrefiltered equations of motion for an ideal gas. A compressible generalization of the linear combination of the Smagorinsky model and scalesimilarity model, in terms of Favrefiltered fields, is obtained for the subgridscale stress tensor. An analogous thermal linear combination model is also developed for the subgridscale heat flux vector. The two dimensionless constants associated with these subgridscale models are obtained by correlating with the results of direct numerical simulations of compressible isotropic turbulence performed on a 96(exp 3) grid using Fourier collocation methods. Extensive comparisons between the direct and modeled subgridscale fields are provided in order to validate the models. A largeeddy simulation of the decay of compressible isotropic turbulence (conducted on a coarse 32(exp 3) grid) is shown to yield results that are in excellent agreement with the fine grid direct simulation. Future applications of these compressible subgridscale models to the largeeddy simulation of more complex supersonic flows are discussed briefly.
 Publication:

Final Report Institute for Computer Applications in Science and Engineering
 Pub Date:
 October 1990
 Bibcode:
 1990icas.reptQ....E
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Computational Grids;
 Turbulence Models;
 Turbulent Flow;
 Vortices;
 Computerized Simulation;
 Equations Of Motion;
 Fourier Transformation;
 Heat Flux;
 Isotropic Turbulence;
 Stress Tensors;
 Supersonic Flow;
 Fluid Mechanics and Heat Transfer