Large-eddy simulation of compressible flows using a spectral multi-domain method
نویسندگان
چکیده
This paper discusses the development of a high-order, multidomain based large-eddy simulation (LES) for compressible flows. The LES model equations are approximated on unstructured grids of non-overlapping hexahedrals subdomains providing geometric flexibility. In each domain a highorder Chebyshev polynomial approximation represents the solution ensuring a highly accurate approximation with little numerical dispersion and diffusion. The sub-grid scale stress in the filtered LES equations is modeled with a dynamic eddy viscosity model, while the heat flux is represented with an eddy diffusivity model, employing a turbulent Prandtl number. The model constants are evaluated through a flexible dynamic procedure, that uses a high-order domain level filtering for the discrete test filter. The LES methodology is tested in a decaying isotropic turbulence and channel flow. The LES method improves the resolution of the turbulence spectrum as compared to a direct numerical simulation with the same method at the same grid resolution. The averaged and second order statistics for LES computations are in close agreement with published results and resolved direct numerical simulations. The high-order LES methodology requires fewer degrees of freedom as compared to lower order LES methodologies to accurately resolve the turbulent flows.
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تاریخ انتشار 2008