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Explicit Residual Discretizations for Shallow Water Flows

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.accessioned2024-04-04T02:25:57Z
dc.date.available2024-04-04T02:25:57Z
dc.date.issued2011
dc.identifier.issn0094-243X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189917
dc.description.abstractEnWe describe an explicit residual based discretization of the Shallow Water equations. When based on a continuous polynomial approximation of the unknowns, these discretizations have remarkable properties in terms of preservation of steady equilibria. However, they are also implicit by nature due to the necessity of inverting a mass matrix. Following [Ricchiuto and Abgrall, J.Comput.Phys. 229, 2010], we present an approach to construct genuinely explicit schemes, which simply by properly choosing the approximation space, preserve steady equilibria at the discrete level on unstructured meshes. Numerical examples involving multidimensional perturbations of steady equilibria and wetting/drying are presented.
dc.language.isoen
dc.publisherAmerican Institute of Physics
dc.title.enExplicit Residual Discretizations for Shallow Water Flows
dc.typeArticle de revue
dc.identifier.doi10.1063/1.3636885
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]
dc.subject.halSciences de l'environnement/Ingénierie de l'environnement
bordeaux.journalAIP Conference Proceedings
bordeaux.page919-922
bordeaux.volume1389
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00651806
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00651806v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=AIP%20Conference%20Proceedings&rft.date=2011&rft.volume=1389&rft.issue=1&rft.spage=919-922&rft.epage=919-922&rft.eissn=0094-243X&rft.issn=0094-243X&rft.au=RICCHIUTO,%20Mario&rft.genre=article


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