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Well balanced residual distribution for the ALE spherical shallow water equations on moving adaptive meshes

hal.structure.identifierBureau de Recherches Géologiques et Minières [BRGM]
dc.contributor.authorARPAIA, Luca
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.issued2020
dc.identifier.issn0021-9991
dc.description.abstractEnWe consider the numerical approximation of the Shallow Water Equations (SWEs) in spherical geometry for oceanographic applications. To provide enhanced resolution of moving fronts present in the flow we consider adaptive discrete approximations on moving triangulations of the sphere. To this end, we restate all Arbitrary Lagrangian Eulerian (ALE) transport formulas, as well as the volume transformation laws, for a 2D manifold. Using these results, we write the set of ALE-SWEs on the sphere. We then propose a Residual Distribution discrete approximation of the governing equations. Classical properties as the DGCL and the C-property (well balancedness) are reformulated in this more general context. An adaptive mesh movement strategy is proposed. The discrete framework obtained is thoroughly tested on standard benchmarks in large scale oceanography to prove their potential as well as the advantage brought by the adaptive mesh movement.
dc.description.sponsorshipTsunamis en Atlantique et MaNche : Définition des Effets par Modélisation - ANR-11-RSNR-0023
dc.language.isoen
dc.publisherElsevier
dc.subject.enArbitrary Lagrangian Eulerian formulation
dc.subject.encurvilinear coordinates
dc.subject.enShallow Water equations
dc.subject.enMoving Mesh
dc.subject.enResidual Distribution
dc.subject.enWell-Balanced
dc.title.enWell balanced residual distribution for the ALE spherical shallow water equations on moving adaptive meshes
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2019.109173
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halPlanète et Univers [physics]/Océan, Atmosphère
bordeaux.journalJournal of Computational Physics
bordeaux.page109173
bordeaux.volume405
bordeaux.peerReviewedoui
hal.identifierhal-02422335
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02422335v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20Physics&rft.date=2020&rft.volume=405&rft.spage=109173&rft.epage=109173&rft.eissn=0021-9991&rft.issn=0021-9991&rft.au=ARPAIA,%20Luca&RICCHIUTO,%20Mario&rft.genre=article


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