Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains

F. Rieper () and G. Bader
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F. Rieper: Lehrstuhl NMWR, BTU Cottbus

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 883-890 from Springer

Abstract: This chapter presents an analysis of the explicit Roe scheme for the Euler equations of a perfect gas in the low Mach number regime. The CFL condition in explicit schemes is essential in the discrete asymptotic analysis, since it introduces a Strouhal number Str = 1/M into the equations, where M is the reference Mach number. As a result, we can show the consistency of the Roe scheme with the asymptotic Euler equations on the acoustic timescale. Numerical experiments confirm these theoretical results down to a Mach number of M = 10−7.

Keywords: Mach Number; Euler Equation; Strouhal Number; Exterior Domain; Numerical Viscosity (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_92

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DOI: 10.1007/978-3-540-75712-2_92

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