A second order numerical scheme for large-eddy simulation of compressible flows
Résumé
In the context of large eddy simulation of turbulent flows, the control of kinetic energy seems to be an essential requirement for a numerical scheme. We propose in this paper a formally second order non-dissipative scheme dedicated to the numerical simulation of the filtered Naviers-Stokes equations for compressibleflows. The spatial discretization is staggered and based on the so-called Marker-And-Cell (MAC) scheme. A MUSCL-like technique is used for convection operators of the mass and the internal energy balance equations in order to preserve the positivity of the density and of the internal energy. Time discretization is performedwith the Heun scheme. A kinetic energy conservation identity at discrete level isproved. The good behaviour of the scheme is assessed on the simulation of compressibledecaying isotropic turbulence.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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