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Model order reduction strategies for weakly dispersive waves

hal.structure.identifierSISSA MathLab [Trieste]
dc.contributor.authorTORLO, Davide
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T02:37:23Z
dc.date.available2024-04-04T02:37:23Z
dc.date.created2023
dc.date.issued2023
dc.identifier.issn0378-4754
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190796
dc.description.abstractEnWe focus on the numerical modelling of water waves by means of depth averaged models. We consider in particular PDE systems which consist in a nonlinear hyperbolic model plus a linear dispersive perturbation involving an elliptic operator. We propose two strategies to construct reduced order models for these problems, with the main focus being the control of the overhead related to the inversion of the elliptic operators, as well as the robustness with respect to variations of the flow parameters. In a first approach, only a linear reduction strategies is applied only to the elliptic component, while the computations of the nonlinear fluxes are still performed explicitly. This hybrid approach, referred to as pdROM, is compared to a hyper-reduction strategy based on the empirical interpolation method to reduce also the nonlinear fluxes. We evaluate the two approaches on a variety of benchmarks involving a generalized variant of the BBM-KdV model with a variable bottom, and a one-dimensional enhanced weakly dispersive shallow water system. The results show the potential of both approaches in terms of cost reduction, with a clear advantage for the pdROM in terms of robustness, and for the EIMROM in terms of cost reduction.
dc.language.isoen
dc.publisherElsevier
dc.subject.meshmodel order reduction
dc.subject.meshdispersive wave equations
dc.subject.meshBBM-KdV
dc.subject.meshBoussinesq
dc.subject.meshhyper-reduction
dc.title.enModel order reduction strategies for weakly dispersive waves
dc.typeArticle de revue
dc.identifier.doi10.1016/j.matcom.2022.10.034
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.identifier.arxiv2112.10608
bordeaux.journalMathematics and Computers in Simulation
bordeaux.page997-1028
bordeaux.volume205
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03508460
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03508460v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematics%20and%20Computers%20in%20Simulation&rft.date=2023&rft.volume=205&rft.spage=997-1028&rft.epage=997-1028&rft.eissn=0378-4754&rft.issn=0378-4754&rft.au=TORLO,%20Davide&RICCHIUTO,%20Mario&rft.genre=article


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