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Numerical simulation of shock-cylinder interactions. I: Resolution. (English) Zbl 0840.76067

We apply two different high-order shock capturing schemes to the study of a two-dimensional unsteady inviscid flow. In particular, we study the interaction of a planar shock with a cylindrical volume of a light gas (helium or hydrogen) contained in air. The two schemes used are the Chebyshev collocation method and the ENO finite difference scheme of Osher and Shu, and they are applied to a physical model consisting of the Euler equations with a real gas equation of state and multiple chemical species.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76M20 Finite difference methods applied to problems in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics
76V05 Reaction effects in flows
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