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A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry

hal.structure.identifierRheinisch-Westfälische Technische Hochschule Aachen University [RWTH]
dc.contributor.authorNOELLE, Sebastian
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorPARISOT, Martin
hal.structure.identifierUniversität Bielefeld = Bielefeld University
dc.contributor.authorTSCHERPEL, Tabea
dc.date.accessioned2024-04-04T02:46:23Z
dc.date.available2024-04-04T02:46:23Z
dc.date.issued2022
dc.identifier.issn0036-1429
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191545
dc.description.abstractEnThis work is devoted to the structure of the time-discrete Green-Naghdi equations including bathymetry. We use the projection structure of the equations to characterize homogeneous and inhomogeneous boundary conditions for which the semi-discrete equations are well-posed. This structure allows us to propose efficient and robust numerical treatment of the boundary conditions that ensures entropy stability of the scheme by construction. Numerical evidence is provided to illustrate that our approach is suitable for situations of practical interest that are not covered by existing theory.
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.subject.enshallow water flow
dc.subject.enGreen-Naghdi equations
dc.subject.endispersive equations
dc.subject.enboundary conditions
dc.subject.enprediction correction scheme
dc.subject.enprojection method
dc.subject.enentropy satisfying scheme
dc.title.enA class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry
dc.typeArticle de revue
dc.subject.halPhysique [physics]/Physique [physics]/Géophysique [physics.geo-ph]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halPhysique [physics]/Physique [physics]/Physique Atmosphérique et Océanique [physics.ao-ph]
dc.identifier.arxiv2106.05048
bordeaux.journalSIAM Journal on Numerical Analysis
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03256700
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03256700v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Numerical%20Analysis&rft.date=2022&rft.eissn=0036-1429&rft.issn=0036-1429&rft.au=NOELLE,%20Sebastian&PARISOT,%20Martin&TSCHERPEL,%20Tabea&rft.genre=article


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