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Numerical approximation of parabolic problems by means of residual distribution schemes

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorBAURIN, Guillaume
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorKRUST, Arnaud
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDE SANTIS, Dante
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T02:25:56Z
dc.date.available2024-04-04T02:25:56Z
dc.date.created2011-12-04
dc.date.issued2011-12-04
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189915
dc.description.abstractNous nous intéressons à l'approximation numérique des problèmes de convection diffusion stationnaires au moyen de schémas distribuant le résidu d'ordre élevé. Dans le cas sans viscosité, on peut développer des schémas distriuant le résidu on linéaires qui sont non oscillant même dans le cas de chocs très forts, tout en ayant le stencil le plus compact possible, sur des maillages non struturés hybrides. Dans ce papier, on propose, et compare, plusieurs extensions de ce s méthodes dans le cas de problèmes de convection diffusion.
dc.description.abstractEnWe are interested in the numerical approximation of steady scalar convection diffusion problems by mean of high order schemes called Residual Distribution (RD). In the inviscid case, one can develop non linear RD that are non oscillatory, even in the case of very strong shocks, while having the most possible compact stencil, on hybrid unstructured meshes. This paper proposes and compare several extension of these schemes for the convection diffusion problem. This methodology, in particular in term of accuracy, is evaluated on several problems, some of which having exact solutions.
dc.language.isoen
dc.subject.enConvection diffusion
dc.subject.enresidual distribution schemes
dc.subject.enfinite element methods
dc.subject.ennon structured meshes
dc.title.enNumerical approximation of parabolic problems by means of residual distribution schemes
dc.typeRapport
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.description.sponsorshipEuropeAdaptive Schemes for Deterministic and Stochastic Flow Problems
bordeaux.page21
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA
bordeaux.type.reportrr
hal.identifierhal-00647999
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00647999v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2011-12-04&rft.spage=21&rft.epage=21&rft.au=ABGRALL,%20Remi&BAURIN,%20Guillaume&KRUST,%20Arnaud&DE%20SANTIS,%20Dante&RICCHIUTO,%20Mario&rft.genre=unknown


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