Toward the Large-Eddy Simulation of Compressible Turbulent Flows
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
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New subgrid-scale models for the large-eddy simulation of compressible turbulent flows are developed and tested based on the Favre- filtered equations of motion for an ideal gas. A compressible generalization of the linear combination of the Smagorinsky model and scale-similarity model, in terms of Favre-filtered fields, is obtained for the subgrid-scale stress tensor. An analogous thermal linear combination model is also developed for the subgrid-scale models are obtained by correlating with the results of direct numerical simulations of compressible isotropic turbulence performed on a 96 cubed grid using Fourier collocation methods. Extensive comparisons between the direct and modeled subgrid-scale fields are provided in order to validate the models. A large-eddy simulation of the decay of compressible isotropic turbulence conducted on a coarse 32 cubed grid is shown to yield results that are in excellent agreement with the fine grid direct simulation. Future application of these compressible subgrid-scale models to the large-eddy simulation of more complex supersonic flows are discussed briefly.
- Fluid Mechanics