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Equivalence conditions between linear Lagrangian finite element and node-centred finite volume schemes for conservation laws in cylindrical coordinates

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorDE SANTIS, Dante
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorGERACI, Gianluca
hal.structure.identifierDipartimento di Scienze e Tecnologie Aerospaziali [Milano] [DAER]
dc.contributor.authorGUARDONE, Alberto
dc.date.accessioned2024-04-15T09:41:53Z
dc.date.available2024-04-15T09:41:53Z
dc.date.issued2014-03-10
dc.identifier.issn0271-2091
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/197638
dc.description.abstractEnA complete set of equivalence conditions, relating the mass-lumped Bubnov-Galerkin finite element (FE) scheme for Lagrangian linear elements to node-centred finite volume (FV) schemes, is derived for the first time for conservation laws in a three-dimensional cylindrical reference. Equivalence conditions are used to devise a class of FV schemes, in which all grid-dependent quantities are defined in terms of FE integrals. Moreover, all relevant differential operators in the FV framework are consistent with their FE counterparts, thus opening the way to the development of consistent hybrid FV/FE schemes for conservation laws in a three-dimensional cylindrical coordinate system. The two-dimensional schemes for the polar and the axisymmetrical cases are also explicitly derived. Numerical experiments for compressible unsteady flows, including expanding and converging shock problems and the interaction of a converging shock waves with obstacles, are carried out using the new approach. The results agree fairly well with one-dimensional simulations and simplified models.
dc.language.isoen
dc.publisherWiley
dc.subjecteuler equations
dc.subjectcylindrical coordinates
dc.subjectfinite element schemes
dc.subjectfinite volume schemes
dc.title.enEquivalence conditions between linear Lagrangian finite element and node-centred finite volume schemes for conservation laws in cylindrical coordinates
dc.typeArticle de revue
dc.identifier.doi10.1002/fld.3862
dc.subject.halInformatique [cs]/Ingénierie, finance et science [cs.CE]
bordeaux.journalInternational Journal for Numerical Methods in Fluids
bordeaux.page514-542
bordeaux.volume74
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.issue7
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00935561
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00935561v1
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