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Entropy‐satisfying scheme for a hierarchy of dispersive reduced models of free surface flow

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorPARISOT, Martin
dc.date.accessioned2024-04-04T02:30:11Z
dc.date.available2024-04-04T02:30:11Z
dc.date.issued2019-10-23
dc.identifier.issn0271-2091
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190244
dc.description.abstractEnSummary This work is devoted to the numerical resolution in the multidimensional framework of a hierarchy of reduced models of the water wave equations, such as the Serre‐Green‐Naghdi model. A particular attention is paid to the dissipation of mechanical energy at the discrete level, which acts as a stability argument of the scheme, even with source terms such space and time variation of the bathymetry. In addition, the analysis leads to a natural way to deal with dry areas without leakage of energy. To illustrate the accuracy and the robustness of the strategy, several numerical experiments are carried out. In particular, the strategy is capable of treating dry areas without special treatment.
dc.language.isoen
dc.publisherWiley
dc.title.enEntropy‐satisfying scheme for a hierarchy of dispersive reduced models of free surface flow
dc.typeArticle de revue
dc.identifier.doi10.1002/fld.4766
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalInternational Journal for Numerical Methods in Fluids
bordeaux.page509-531
bordeaux.volume91
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue10
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-04439146
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04439146v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20for%20Numerical%20Methods%20in%20Fluids&rft.date=2019-10-23&rft.volume=91&rft.issue=10&rft.spage=509-531&rft.epage=509-531&rft.eissn=0271-2091&rft.issn=0271-2091&rft.au=PARISOT,%20Martin&rft.genre=article


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