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Discrete asymptotic equations for long wave propagation

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorBELLEC, S
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCOLIN, Mathieu
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T03:17:00Z
dc.date.available2024-04-04T03:17:00Z
dc.date.created2015
dc.date.issued2015-11
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194269
dc.description.abstractEnIn this paper, we present a new systematic method to obtain some discrete numerical models for incompressible free-surface flows. The method consists in first discretizing the Euler equations with respect to one variable, keeping the other ones unchanged and then performing an asymptotic analysis on the resulting system. For the sake of simplicity, we choose to illustrate this method in the context of the Peregrine asymptotic regime, that is we propose an alternative numerical scheme for the so-called Peregrine equations. We then study the linear dispersion characteristics of our new scheme and present several numerical experiments to measure the relevance of the method.
dc.language.isoen
dc.subject.enWave propagation
dc.subject.enasymptotic equations
dc.subject.endiscrete asymptotics
dc.subject.enBoussinesq models
dc.subject.enfinite elements
dc.title.enDiscrete asymptotic equations for long wave propagation
dc.typeRapport
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.page29
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionInria Bordeaux Sud-Ouest
bordeaux.type.reportrr
hal.identifierhal-01224157
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01224157v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2015-11&rft.spage=29&rft.epage=29&rft.au=BELLEC,%20S&COLIN,%20Mathieu&RICCHIUTO,%20Mario&rft.genre=unknown


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