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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 scalesimilarity 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 heat flux vector. The two dimensionless constants associated with these subgrid.scale models are obtained by correlating with the results of direct numerical simulations of compressible isotropic turbulence performed on a 960.' rid 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 321 grid -is sh6wn to yield results that are in excellent agreement with the fine grid direct simulation. Future applications of these compressible subgrid-scale models to the large-eddy simulation of more complex supersonic flows are discussed briefly.

Due to a technical error the caption of Figure 1.6 on page 29 and the content of pages 311 and 312 were reproduced in non-final form. Please find the corrected pages below. On pages 311 and 312 the changes are highlighted in red.

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