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On shoaling properties of enhanced Boussinesq models

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorFILIPPINI, Andrea Gilberto
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorBELLEC, Stevan
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCOLIN, Mathieu
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T03:16:20Z
dc.date.available2024-04-04T03:16:20Z
dc.date.issued2014
dc.date.conference2014-06-09
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194208
dc.description.abstractEnIn this paper, we investigate the nonlinear properties of Boussinesq models.In particular, we consider the wave shoaling obtained in physical regimes whichgo from linear to weakly nonlinear, to the wave breaking limit. For a given asymptoticaccuracy in terms of dispersion and nonlinearity, we consider two families ofmodels: the first depending on derivatives of the velocity, the second on derivativesof the volume flux. Ww show that, while linear dispersion and linear shoaling characteristicsare strongly dependent on the type of dispersive terms introduced, whenapproaching the nonlinear regime the only influencing factor is whether the model isin amplitude-velocity of amplitude-flux form. We investigate these two alternativeformulations of several known models, and propose a new model with a compactdifferential form, and the same linear characteristics of the model of Nwogu. Thenonlinear shoaling properties of the models are investigated numerically showingthat inside one given family, all the models have almost identical behaviour.
dc.language.isoen
dc.title.enOn shoaling properties of enhanced Boussinesq models
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleECMI 2014 The 18th European Conference on Mathematics for Industry
bordeaux.countryIT
bordeaux.conference.cityTaormina
bordeaux.peerReviewedoui
hal.identifierhal-01254675
hal.version1
hal.invitednon
hal.proceedingsnon
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01254675v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2014&rft.au=FILIPPINI,%20Andrea%20Gilberto&BELLEC,%20Stevan&COLIN,%20Mathieu&RICCHIUTO,%20Mario&rft.genre=unknown


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