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Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling

hal.structure.identifierDepartment of Earth Science and Engineering [Imperial 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.identifierDepartment of Mathematics [Imperial College London]
dc.contributor.authorHAM, David
hal.structure.identifierDepartment of Earth Science and Engineering [Imperial College London]
dc.contributor.authorPIGGOTT, Matthew
dc.date.accessioned2024-04-04T02:36:43Z
dc.date.available2024-04-04T02:36:43Z
dc.date.issued2022-04
dc.identifier.issn0010-4485
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190740
dc.description.abstractEnThis paper applies metric-based mesh adaptation methods to advection-dominated tracer transport modelling problems in two and three dimensions, using the finite element package Firedrake. In particular, the mesh adaptation methods considered are built upon goal-oriented estimates for the error incurred in evaluating a diagnostic quantity of interest (QoI). In the motivating example of modelling to support desalination plant outfall design, such a QoI could be the salinity at the plant inlet, which could be negatively impacted by the transport of brine from the plant’s outfall. Four approaches are considered, one of which yields isotropic meshes. The focus on advection-dominated problems means that flows are often anisotropic; thus, three anisotropic approaches are also considered. Meshes resulting from each of the four approaches yield solutions to the tracer transport problem which give better approximations to QoI values than uniform meshing, for a given mesh size. The methodology is validated using an existing 2D tracer transport test case with a known analytical solution. Goal-oriented meshes for an idealised time-dependent desalination outfall scenario are also presented.
dc.language.isoen
dc.publisherElsevier
dc.subject.enanisotropy
dc.subject.enmesh adaptation
dc.subject.enerror estimation
dc.subject.endesalination outfall
dc.subject.enFiredrake
dc.title.enGoal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cad.2021.103187
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalComputer-Aided Design
bordeaux.page103187
bordeaux.volume145
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03922647
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03922647v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Computer-Aided%20Design&rft.date=2022-04&rft.volume=145&rft.spage=103187&rft.epage=103187&rft.eissn=0010-4485&rft.issn=0010-4485&rft.au=WALLWORK,%20Joseph&BARRAL,%20Nicolas&HAM,%20David&PIGGOTT,%20Matthew&rft.genre=article


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