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Nonconservative hyperbolic systems in fluid mechanics. (English. French summary) Zbl 1461.76377

Summary: This paper is devoted to the numerical approximation of nonconservative hyperbolic systems. More precisely, we consider the bitemperature Euler system and we propose two methods of discretization. The first one is a kinetic approach based on an underlying kinetic model. The second one deals with a Suliciu approach when magnetic fields are taken into account.

MSC:

76N15 Gas dynamics (general theory)
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76M12 Finite volume methods applied to problems in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
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