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

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • F. Rieper

    (Lehrstuhl NMWR, BTU Cottbus)

  • G. Bader

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.

Suggested Citation

  • F. Rieper & G. Bader, 2008. "Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 883-890, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_92
    DOI: 10.1007/978-3-540-75712-2_92
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