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Goal-oriented error estimation and mesh adaptation for shallow water modelling

hal.structure.identifierImperial College London
dc.contributor.authorWALLWORK, Joseph
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBARRAL, Nicolas
hal.structure.identifierImperial College London
dc.contributor.authorKRAMER, Stephan
hal.structure.identifierImperial College London
dc.contributor.authorHAM, David
hal.structure.identifierImperial College London
dc.contributor.authorPIGGOTT, Matthew
dc.date.accessioned2024-04-04T02:50:31Z
dc.date.available2024-04-04T02:50:31Z
dc.date.issued2020-06
dc.identifier.issn2523-3963
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191916
dc.description.abstractEnThis study presents a novel goal-oriented error estimate for the nonlinear shallow water equations solved using a mixed discontinuous/continuous Galerkin approach. This error estimator takes account of the discontinuities in the discrete solu-tion and is used to drive two metric-based mesh adaptation algorithms: one which yields isotropic meshes and another which yields anisotropic meshes. An implementation of these goal-oriented mesh adaptation algorithms is described, including a method for approximating the adjoint error term which arises in the error estimate. Results are presented for simulations of two model tidal farm configurations computed using the Thetis coastal ocean model (Kärnä et al. in Geosci Model Dev 11(11):4359–4382, 2018). Convergence analysis indicates that meshes resulting from the goal-oriented adaptation strategies permit accurate QoI estimation using fewer computational resources than uniform refinement.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enAdjoint methods
dc.subject.enMesh adaptation
dc.subject.enDiscontinuous Galerkin
dc.subject.enTidal turbine modelling
dc.subject.enFiredrake
dc.title.enGoal-oriented error estimation and mesh adaptation for shallow water modelling
dc.typeArticle de revue
dc.identifier.doi10.1007/s42452-020-2745-9
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalSN Applied Sciences
bordeaux.volume2
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02904413
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02904413v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SN%20Applied%20Sciences&rft.date=2020-06&rft.volume=2&rft.issue=6&rft.eissn=2523-3963&rft.issn=2523-3963&rft.au=WALLWORK,%20Joseph&BARRAL,%20Nicolas&KRAMER,%20Stephan&HAM,%20David&PIGGOTT,%20Matthew&rft.genre=article


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