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

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBRULL, Stéphane
hal.structure.identifierLaboratoire d'Analyse et de Mathématiques Appliquées [LAMA]
dc.contributor.authorLHÉBRARD, Xavier
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUBROCA, Bruno
dc.date.accessioned2024-04-04T03:02:27Z
dc.date.available2024-04-04T03:02:27Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192984
dc.description.abstractEnThe 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.
dc.language.isoen
dc.subject.enBGK models
dc.subject.enhydrodynamic limit
dc.subject.enrelaxation method
dc.subject.ennon-conservative hyperbolic system
dc.subject.endiscrete entropy inequalities
dc.subject.endiscrete entropy minimum principle
dc.title.enModelling and entropy satisfying relaxation scheme for the nonconservative bitemperature Euler system with transverse magnetic field
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01939165
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01939165v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BRULL,%20St%C3%A9phane&LH%C3%89BRARD,%20Xavier&DUBROCA,%20Bruno&rft.genre=preprint


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