On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes
نویسندگان
چکیده
منابع مشابه
On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes
This paper presents an analysis of Godunov scheme in the low Mach number regime. We study the Riemann problem and show that the interface pressure contains acoustic waves of order OðM Þ where M is the reference Mach number even if the initial data are well-prepared and contain only pressure fluctuations of order OðM2 Þ. We then propose to modify the fluxes computed by Godunov type schemes by so...
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In the present work, we are interested in the direct numerical simulation of the compressible Euler and Navier Stokes equations at low Mach number regime. First, we propose a review of existing work on the subject in order to identify the issues raised by the simulation of in this kind of flow, and the existing relevant solutions. Then, we will test different selected compressible low Mach solv...
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Through a linear analysis, we show how to modify Godunov type schemes applied to the compressible Euler system to make them accurate at any Mach number. This allows to propose all Mach Godunov type schemes. A linear stability result is proposed and a formal asymptotic analysis justifies the construction in the barotropic case when the Godunov type scheme is a Roe scheme. We also underline that ...
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Finite Volume upwind schemes for the Euler equations in the low Mach number regime face a problem of lack of convergence toward the solutions of the incompressible system. However, if applied to cell centered triangular grid, this problem disappears and convergence toward the incompressible solution is recovered. Extending the work of [3] that prove this result for regular triangular grid, we g...
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aUniversité de Pau et des Pays de l’Adour LMAP UMR 5142 and Inria CAGIRE Team – Avenue de l’Université – 64 013 Pau, France bInria CAGIRE Team, Université de Pau et des Pays de l’Adour LMAP UMR 5142 – Avenue de l’Université – 64 013 Pau, France cCNRS, Université de Pau et des Pays de l’Adour LMAP UMR 5142 and Inria CAGIRE Team – Avenue de l’Université – 64 013 Pau, France dGhent University – De...
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ژورنال
عنوان ژورنال: Computers & Fluids
سال: 2004
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2003.07.001