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A spectral/hp element depth-integrated model for nonlinear wave-body interaction

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorBOSI, Umberto
hal.structure.identifierDanmarks Tekniske Universitet = Technical University of Denmark [DTU]
dc.contributor.authorENGSIG-KARUP, Allan
hal.structure.identifierRISE Research Institutes of Sweden
dc.contributor.authorESKILSSON, Claes
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T03:02:17Z
dc.date.available2024-04-04T03:02:17Z
dc.date.issued2019
dc.identifier.issn0045-7825
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192965
dc.description.abstractEnWe present a depth-integrated Boussinesq model for the efficient simulation of nonlinear wave-body interaction. The model exploits a 'unified' Boussinesq framework, i.e. the fluid under the body is also treated with the depth-integrated approach. The unified Boussinesq approach was initially proposed by Jiang [26] and recently analysed by Lannes [29]. The choice of Boussinesq-type equations removes the vertical dimension of the problem, resulting in a wave-body model with adequate precision for weakly nonlinear and dispersive waves expressed in horizontal dimensions only. The framework involves the coupling of two different domains with different flow characteristics. Inside each domain, the continuous spectral/hp element method is used to solve the appropriate flow model since it allows to achieve high-order, possibly exponential, convergence for non-breaking waves. Flux-based conditions for the domain coupling are used, following the recipes provided by the discontinuous Galerkin framework. The main contribution of this work is the inclusion of floating surface-piercing bodies in the conventional depth-integrated Boussinesq framework and the use of a spectral/hp element method for high-order accurate numerical discretization in space. The model is verified using manufactured solutions and validated against published results for wave-body interaction. The model is shown to have excellent accuracy and is relevant for applications of waves interacting with wave energy devices.
dc.language.isoen
dc.publisherElsevier
dc.subject.enDomain decomposition
dc.subject.enDiscontinuous Galerkin method
dc.subject.enNonlinear and dispersive waves
dc.subject.enSpectral/hp element method
dc.subject.enWave-body interaction
dc.subject.enBoussinesq equations
dc.title.enA spectral/hp element depth-integrated model for nonlinear wave-body interaction
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cma.2019.01.020
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halPlanète et Univers [physics]/Océan, Atmosphère
dc.subject.halSciences de l'ingénieur [physics]/Génie civil/Construction hydraulique
bordeaux.journalComputer Methods in Applied Mechanics and Engineering
bordeaux.page222-249
bordeaux.volume348
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02001091
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02001091v1
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