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A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes

hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorBERTHON, Christophe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierCentre d'Etudes Lasers Intenses et Applications [CELIA]
dc.contributor.authorDUBROCA † ‡, Bruno
hal.structure.identifierControl, Analysis and Simulations for TOkamak Research [CASTOR]
hal.structure.identifierLaboratoire Jean Alexandre Dieudonné [LJAD]
dc.contributor.authorSANGAM, Afeintou
dc.date.accessioned2024-04-04T03:15:12Z
dc.date.available2024-04-04T03:15:12Z
dc.date.issued2012
dc.identifier.issn0036-1429
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194129
dc.description.abstractEnThe present work deals with the establishment of stability conditions of finite volume methods to approximate weak solutions of the general Euler equations to simulate compressible flows. In oder to ensure discrete entropy inequalities, we derive a new technique based on a local minimum principle to be satisfied by the specific entropy. Sufficient conditions are exhibited to satisfy the required local minimum entropy principle. Arguing these conditions, a class of entropy preserving schemes is thus derived.
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.subject.enAMS subject classifications 65M60
dc.subject.en65M12 Key words Hyperbolic system
dc.subject.engeneral Euler equations
dc.subject.enGodunov type schemes
dc.subject.endiscrete entropy inequalities
dc.subject.endiscrete entropy minimum principle
dc.title.enA Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes
dc.typeArticle de revue
dc.identifier.doi10.1137/100814445
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
bordeaux.journalSIAM Journal on Numerical Analysis
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01280691
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01280691v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Numerical%20Analysis&rft.date=2012&rft.eissn=0036-1429&rft.issn=0036-1429&rft.au=BERTHON,%20Christophe&DUBROCA%20%E2%80%A0%20%E2%80%A1,%20Bruno&SANGAM,%20Afeintou&rft.genre=article


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