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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, Stevan
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
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.authorCOLIN, Mathieu
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T03:13:34Z
dc.date.available2024-04-04T03:13:34Z
dc.date.issued2016
dc.identifier.issn0036-1429
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193957
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 thenperforming 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.description.sponsorshipTsunamis en Atlantique et MaNche : Définition des Effets par Modélisation - ANR-11-RSNR-0023
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.title.enDiscrete asymptotic equations for long wave propagation
dc.typeArticle de revue
dc.identifier.doi10.1137/15M104325X
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalSIAM Journal on Numerical Analysis
bordeaux.page3280-3299
bordeaux.volume54
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01378612
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01378612v1
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