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A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • M. Feistauer

    (Charles University Prague)

  • V. Kučcera

    (Charles University Prague)

Abstract

This work is concerned with the numerical solution of an inviscid compressible flow. Our goal is to develop a sufficiently accurate and robust method allowing the solution of problems with a wide range of Mach numbers. The main ingredients are the discontinuous Galerkin finite element method (DGFEM), semiimplicit time stepping, special treatment of transparent boundary conditions, and a suitable stabilization procedure near discontinuities. Numerical tests show the robustness of the method.

Suggested Citation

  • M. Feistauer & V. Kučcera, 2008. "A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 523-531, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_50
    DOI: 10.1007/978-3-540-75712-2_50
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