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Goal-oriented error estimation and mesh adaptation for shallow water modelling
hal.structure.identifier | Imperial College London | |
dc.contributor.author | WALLWORK, Joseph | |
hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BARRAL, Nicolas | |
hal.structure.identifier | Imperial College London | |
dc.contributor.author | KRAMER, Stephan | |
hal.structure.identifier | Imperial College London | |
dc.contributor.author | HAM, David | |
hal.structure.identifier | Imperial College London | |
dc.contributor.author | PIGGOTT, Matthew | |
dc.date.accessioned | 2024-04-04T02:50:31Z | |
dc.date.available | 2024-04-04T02:50:31Z | |
dc.date.issued | 2020-06 | |
dc.identifier.issn | 2523-3963 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191916 | |
dc.description.abstractEn | This 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.iso | en | |
dc.publisher | Springer Verlag | |
dc.subject.en | Adjoint methods | |
dc.subject.en | Mesh adaptation | |
dc.subject.en | Discontinuous Galerkin | |
dc.subject.en | Tidal turbine modelling | |
dc.subject.en | Firedrake | |
dc.title.en | Goal-oriented error estimation and mesh adaptation for shallow water modelling | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s42452-020-2745-9 | |
dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
bordeaux.journal | SN Applied Sciences | |
bordeaux.volume | 2 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 6 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-02904413 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02904413v1 | |
bordeaux.COinS | ctx_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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