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.
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Feistauer, M., Kučcera, V. (2008). A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers. In: Benzoni-Gavage, S., Serre, D. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75712-2_50
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DOI: https://doi.org/10.1007/978-3-540-75712-2_50
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