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Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes

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]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierFarhat Research Group [Stanford] [FRG]
dc.contributor.authorLARAT, Adam
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.accessioned2024-04-15T09:46:09Z
dc.date.available2024-04-15T09:46:09Z
dc.date.issued2011-05-20
dc.identifier.issn0021-9991
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/197984
dc.description.abstractEnIn this paper we consider the very high order approximation of solutions of the Euler equations. We present a systematic generalization of the residual distribution method of (Abgrall, J.ComputPhys 2006) to very high order of accuracy, by extending the preliminary work discussed in (Abgrall, Larat, Ricchiuto, Tave, Computers and Fluids 2009) to systems and hybrid meshes. We present extensive numerical validation for the third and fourth order cases with Lagrange finite elements. In particular, we demonstrate that we both have a non-oscillatory behavior, even for very strong shocks and complex flow patterns, and the expected accuracy on smooth problems.
dc.language.isoen
dc.publisherElsevier
dc.title.enConstruction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2010.07.035
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
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]
bordeaux.journalJournal of Computational Physics
bordeaux.page4103-4136
bordeaux.volume230
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.issue11
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00652412
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00652412v1
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