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An entropy preserving relaxation scheme for ten-moments equations with source terms

hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorBERTHON, Christophe
hal.structure.identifierCentre d'Etudes Lasers Intenses et Applications [CELIA]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUBROCA, Bruno
hal.structure.identifierContrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle [CASTOR]
hal.structure.identifierLaboratoire Jean Alexandre Dieudonné [LJAD]
dc.contributor.authorSANGAM, Afeintou
dc.date.issued2015
dc.identifier.issn1539-6746
dc.description.abstractEnThe present paper concerns the derivation of finite volume methods to approximate weak solutions of Ten-Moments equations with source terms. These equations model compressible anisotropic flows. A relaxation-type scheme is proposed to approximate such flows. Both robustness and stability conditions of the suggested finite volume methods are established. To prove discrete entropy inequalities, we derive a new strategy based on local minimum entropy principle and never use some approximate PDE's auxiliary model as usually recommended. Moreover, numerical simulations in 1D and in 2D illustrate our approach.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherInternational Press
dc.subject.endiscrete entropy minimum principle AMS subject classifications 65M60
dc.subject.enGodunov type schemes
dc.subject.endiscrete entropy inequalities
dc.subject.enHyperbolic system
dc.subject.enTen-Moments equations
dc.subject.ensource terms
dc.subject.en65M12
dc.title.enAn entropy preserving relaxation scheme for ten-moments equations with source terms
dc.typeArticle de revue
dc.identifier.doi10.4310/CMS.2015.v13.n8.a7
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Physique [physics]/Physique des plasmas [physics.plasm-ph]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
bordeaux.journalCommunications in Mathematical Sciences
bordeaux.page2119-2154
bordeaux.volume13
bordeaux.issue8
bordeaux.peerReviewedoui
hal.identifierhal-01255069
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01255069v1
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