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

M. Feistauer () and V. Kučcera ()
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M. Feistauer: Charles University Prague
V. Kučcera: Charles University Prague

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 523-531 from Springer

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.

Keywords: Shock Wave; Mach Number; Euler Equation; Compressible Euler Equation; Velocity Circulation (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_50

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DOI: 10.1007/978-3-540-75712-2_50

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