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Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries

hal.structure.identifierCentre d'études scientifiques et techniques d'Aquitaine [CESTA]
dc.contributor.authorBARANGER, Céline
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHÉROUARD, Nicolas
hal.structure.identifierCentre d'études scientifiques et techniques d'Aquitaine [CESTA]
dc.contributor.authorMATHIAUD, Julien
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMIEUSSENS, Luc
dc.date.accessioned2024-04-04T02:55:28Z
dc.date.available2024-04-04T02:55:28Z
dc.date.issued2019-05
dc.identifier.issn0378-4754
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192366
dc.description.abstractEnWe present a numerical comparison between two standard finite volume schemes and a discontinuous Galerkin method applied to the BGK equation of rarefied gas dynamics. We pay a particular attention to the numerical boundary conditions in order to preserve the rate of convergence of the method. Most of our analysis relies on a 1D problem (Couette flow), but we also present some results for a 2D aerodynamical flow.
dc.description.sponsorshipEquipement d'excellence de calcul intensif de Mesocentres coordonnés - Tremplin vers le calcul petaflopique et l'exascale - ANR-10-EQPX-0029
dc.language.isoen
dc.publisherElsevier
dc.subject.enDiscrete velocity model
dc.subject.enBGK model
dc.subject.enFinite Volume Schemes
dc.subject.enRarefied flow simulation
dc.subject.enTransitional regime
dc.subject.enNumerical boundary conditions
dc.subject.enDiscontinuous Galerkin schemes
dc.title.enNumerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries
dc.typeArticle de revue
dc.identifier.doi10.1016/j.matcom.2018.11.011
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.identifier.arxiv2003.05677
bordeaux.journalMathematics and Computers in Simulation
bordeaux.page136-153
bordeaux.volume159
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01552756
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01552756v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematics%20and%20Computers%20in%20Simulation&rft.date=2019-05&rft.volume=159&rft.spage=136-153&rft.epage=136-153&rft.eissn=0378-4754&rft.issn=0378-4754&rft.au=BARANGER,%20C%C3%A9line&H%C3%89ROUARD,%20Nicolas&MATHIAUD,%20Julien&MIEUSSENS,%20Luc&rft.genre=article


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