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Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime

hal.structure.identifierLaboratoire Analyse, Géométrie et Applications [LAGA]
dc.contributor.authorAUDUSSE, Emmanuel
hal.structure.identifierNumerical Analysis, Geophysics and Ecology [ANGE]
dc.contributor.authorBOITTIN, Léa
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorPARISOT, Martin
dc.date.accessioned2024-04-04T02:46:02Z
dc.date.available2024-04-04T02:46:02Z
dc.date.issued2021-07
dc.identifier.issn0764-583X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191514
dc.description.abstractEnThe present paper deals with the modeling and numerical approximation of bed load transport under the action of water. A new shallow water type model is derived from the stratified two-fluid Navier–Stokes equations. Its novelty lies in the magnitude of a viscosity term that leads to a momentum equation of elliptic type. The full model, sediment and water, verifies a dissipative energy balance for smooth solutions. The numerical resolution of the sediment layer is not trivial since the viscosity introduces a non-local term in the model. Adding a transport threshold makes the resolution even more challenging. A scheme based on a staggered discretization is proposed for the full model, sediment and water.
dc.language.isoen
dc.publisherEDP Sciences
dc.subject.enFree surface flow
dc.subject.enShallow water equations
dc.subject.enSediment transport
dc.subject.enEntropy dissipation
dc.subject.enNon-local effects
dc.title.enAsymptotic derivation and simulations of a non-local Exner model in large viscosity regime
dc.typeArticle de revue
dc.identifier.doi10.1051/m2an/2021031
dc.subject.halMathématiques [math]
bordeaux.journalESAIM: Mathematical Modelling and Numerical Analysis
bordeaux.page1635-1668
bordeaux.volume55
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03312836
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03312836v1
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