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Large‐eddy simulation of compressible flows using a spectral multidomain method
Author(s) -
Sengupta K.,
Jacobs G. B.,
Mashayek F.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1959
Subject(s) - large eddy simulation , homogeneous isotropic turbulence , turbulence , direct numerical simulation , turbulence modeling , prandtl number , turbulent prandtl number , numerical diffusion , physics , statistical physics , mechanics , reynolds number , nusselt number , heat transfer
This paper discusses the development of a high‐order, multidomain‐based large‐eddy simulation (LES) methodology for compressible flows. The LES model equations are approximated on unstructured grids of non‐overlapping hexahedral sub‐domains providing geometric flexibility. In each domain a high‐order 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 a channel flow. The LES method improves the resolution of the turbulence spectrum as compared with a direct numerical simulation (DNS) 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 DNS. The high‐order LES methodology requires fewer degrees of freedom as compared with lower‐order LES methodologies to accurately resolve the turbulent flows. Copyright © 2008 John Wiley & Sons, Ltd.