Numerical and modeling issues in les of compressible turbulence on unstructured grids

This paper discusses numerical and modeling issues that arise in cell-centered flnitevolume methods (FVM) for large eddy simulation (LES) of compressible ∞ows on unstructured grids. These are: accuracy and stability of ∞ux interpolation scheme, shock capturing strategy, and subgrid-scale (SGS) modeling. To enhance the accuracy of ∞ux reconstruction, a new scheme with added flrst derivative term from each cell center is proposed, and tested for various benchmark problems. It is shown that stability as well as accuracy is determined by the formulation of gradient at cell center. As a shock-capturing method, a characteristic based fllter is formulated for cell-centered FVM on unstructured grids. The fllter is combined with a sensor based on the local divergence and vorticity. Also, a one-equation subgrid model based on the subgrid kinetic energy transport equation for compressible ∞ows is proposed.

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