Numerical schemes for compressible flow with all Mach numbers

Conference paper (2006)
Copyright: © 2006 Feistauer, M.; Kucera, V.
Boundary conditions Shock capturing Discontinuous Galerkin method Semi-implicit scheme Compressible inviscid flow Wide range of Mach numbers Accuracy of the method
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Published Date

05-09-2006

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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), semi-implicit time stepping, special treatment of transparent boundary conditions and a suitable limiting procedure near discontinuities. Numerical experiments show the robustness of the method.

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