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THE M 1 ANGULAR MOMENTS MODEL IN A MOVING REFERENCE FRAME FOR RAREFIED GAS DYNAMICS APPLICATIONS

hal.structure.identifierCentre d'Etudes Lasers Intenses et Applications [CELIA]
dc.contributor.authorGUISSET, S
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAREGBA-DRIOLLET, Denise
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBRULL, Stéphane
hal.structure.identifierCentre d'Etudes Lasers Intenses et Applications [CELIA]
dc.contributor.authorDUBROCA, B.
dc.date.accessioned2024-04-04T03:03:54Z
dc.date.available2024-04-04T03:03:54Z
dc.date.issued2017
dc.identifier.issn1540-3459
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193108
dc.description.abstractEnIn the present work the M 1 angular moments model in a moving reference frame is presented for rarefied gas dynamics applications. First of all, the derivation of the angular M 1 moments model in the particles mean velocity frame is introduced. The choice of the mean velocity framework in order to enforce the Galilean invariance property of the model is highlighted. In addition , it is shown that the model rewritten in terms of the entropic variables is Friedrichs-symmetric. Also, the derivation of the associated conservation laws and the zero mean velocity condition are detailed. Secondly, a suitable numerical scheme, preserving the realisable requirement of the numerical solution for the angular M 1 moments model in the mean velocity frame is proposed. Thirdly, some numerical results obtained considering several test cases in different collisional regimes are displayed.
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.subject.enGalilean invariance
dc.subject.enentropy minimisation closure
dc.subject.enAngular moments models
dc.subject.enHLL schemes
dc.title.enTHE M 1 ANGULAR MOMENTS MODEL IN A MOVING REFERENCE FRAME FOR RAREFIED GAS DYNAMICS APPLICATIONS
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalMultiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01934321
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01934321v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Multiscale%20Modeling%20and%20Simulation:%20A%20SIAM%20Interdisciplinary%20Journal&rft.date=2017&rft.eissn=1540-3459&rft.issn=1540-3459&rft.au=GUISSET,%20S&AREGBA-DRIOLLET,%20Denise&BRULL,%20St%C3%A9phane&DUBROCA,%20B.&rft.genre=article


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