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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.accessioned2024-04-04T02:21:57Z
dc.date.available2024-04-04T02:21:57Z
dc.date.issued2013-05-28
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189615
dc.description.abstractEnIn this paper we consider the solution of the enhanced Boussinesq equations of Madsen and S$\oo$rensen ({\it Coast.Eng.} 18, 1992) by means of residual based discretizations. In particular, we investigate the applicability of upwind and stabilized variants of the Residual Distribution and Galerkin finite element 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 (Ricchiuto and Bollerman {\it J.Comput.Phys} 228, 2009 - Hauke {\it CMAME} 163, 1998). The work discussed in this paper constitutes a first step toward the obtention of a model coupling the enhanced Boussinesq equations with the Shallow Water equations in wave breaking regions. The contribution of the present work is to show 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 a thorough numerical validation.
dc.language.isoen
dc.title.enUpwind Residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries
dc.typeRapport
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.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA
bordeaux.type.reportrr
hal.identifierhal-00826912
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00826912v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2013-05-28&rft.au=RICCHIUTO,%20Mario&FILIPPINI,%20Andrea%20Gilberto&rft.genre=unknown


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