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Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorFILIPPINI, Andrea Gilberto
dc.date.accessioned2024-04-15T09:41:55Z
dc.date.available2024-04-15T09:41:55Z
dc.date.issued2014
dc.identifier.issn0021-9991
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/197641
dc.description.abstractEnIn this paper we consider the solution of the enhanced Boussinesq equations of Madsen and Sorensen (1992) [55] by means of residual based discretizations. In particular, we investigate the applicability of upwind and stabilized variants of continuous Galerkin finite element and Residual Distribution schemes for the simulation of wave propagation and transformation over complex bathymetries. These techniques have been successfully applied to the solution of the nonlinear Shallow Water equations (see e.g. Hauke (1998) [39] and Ricchiuto and Bollermann (2009) [61]). In a first step toward the construction of a hybrid model coupling the enhanced Boussinesq equations with the Shallow Water equations in breaking regions, this paper shows that equal order and even low order (second) upwind/stabilized techniques can be used to model non-hydrostatic wave propagation over complex bathymetries. This result is supported by theoretical (truncation and dispersion) error analyses, and by thorough numerical validation.
dc.language.isoen
dc.publisherElsevier
dc.title.enUpwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2013.12.048
dc.subject.halSciences de l'ingénieur [physics]/Génie civil
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
dc.subject.halSciences de l'environnement/Ingénierie de l'environnement
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalJournal of Computational Physics
bordeaux.page306-341
bordeaux.volume271
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00934578
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00934578v1
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