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hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
dc.date.issued2015
dc.identifier.issn0021-9991
dc.description.abstractEnWe describe fully explicit residual based discretizations of the shallow water equations with friction on unstructured grids. The schemes are obtained by properly adapting the explicit construction proposed in Ricchiuto and Abgrall (2010) . In particular, previous work on well balanced integration (Ricchiuto, 2011 ) and preservation of the depth non-negativity (Ricchiuto and Bollermann, 2009 ) is reformulated in the context of a genuinely explicit time stepping still based on a weighted residual approximation. The paper discusses in depth how to achieve in this context an exact preservation of all the simple known steady equilibria, and how to obtain a super-consistent approximation for smooth non-trivial moving equilibria. The treatment of the wetting/drying interface is also discussed, giving formal conditions for the preservation of the non-negativity of the depth for a particular case, based on a nonlinear variant of a Lax–Friedrichs type scheme. The approach is analyzed and tested thoroughly. The quality of the numerical results shows the interest in the proposed approach over previously proposed schemes, in terms of accuracy and efficiency.
dc.description.sponsorshipTsunamis en Atlantique et MaNche : Définition des Effets par Modélisation - ANR-11-RSNR-0023
dc.language.isoen
dc.publisherElsevier
dc.subject.enShallow water equations
dc.subject.enC-property
dc.subject.enMoving equilibria
dc.subject.enUnstructured grids
dc.subject.enResidual based schemes
dc.subject.enResidual distribution
dc.subject.enPositivity preservation
dc.title.enAn explicit residual based approach for shallow water flows
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2014.09.027
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.page306-344
bordeaux.volume280
bordeaux.issue1
bordeaux.peerReviewedoui
hal.identifierhal-01087940
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01087940v1
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