BRULL, Stéphane; LHÉBRARD, Xavier; DUBROCA, Bruno

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BRULL, Stéphane
Institut de Mathématiques de Bordeaux [IMB]

LHÉBRARD, Xavier
Laboratoire d'Analyse et de Mathématiques Appliquées [LAMA]

DUBROCA, Bruno
Institut de Mathématiques de Bordeaux [IMB]

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Document de travail - Pré-publication

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The present paper concerns the study of the nonconservative bitem-perature Euler system with transverse magnetic field. We firstly introduce an underlying conservative kinetic model coupled to Maxwell equations. The nonconservative bitemperature Euler system with transverse magnetic field is then established from this kinetic model by hydrodynamic limit. Next we present the derivation of a finite volume method to approximate weak solutions. It is obtained by solving a relaxation system of Suliciu type, and is similar to HLLC type solvers. The solver is shown in particular to preserve positivity of density and internal energies. Moreover we use a local minimum entropy principle to prove discrete entropy inequalities, ensuring the robustness of the scheme.< Réduire

Mots clés en anglais

BGK models

hydrodynamic limit

relaxation method

non-conservative hyperbolic system

discrete entropy inequalities

discrete entropy minimum principle

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Modelling and entropy satisfying relaxation scheme for the nonconservative bitemperature Euler system with transverse magnetic field

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Résumé en anglais

Mots clés en anglais

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