Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling
hal.structure.identifier | Department of Earth Science and Engineering [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 | Department of Mathematics [Imperial College London] | |
dc.contributor.author | HAM, David | |
hal.structure.identifier | Department of Earth Science and Engineering [Imperial College London] | |
dc.contributor.author | PIGGOTT, Matthew | |
dc.date.accessioned | 2024-04-04T02:36:43Z | |
dc.date.available | 2024-04-04T02:36:43Z | |
dc.date.issued | 2022-04 | |
dc.identifier.issn | 0010-4485 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190740 | |
dc.description.abstractEn | This 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.iso | en | |
dc.publisher | Elsevier | |
dc.subject.en | anisotropy | |
dc.subject.en | mesh adaptation | |
dc.subject.en | error estimation | |
dc.subject.en | desalination outfall | |
dc.subject.en | Firedrake | |
dc.title.en | Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1016/j.cad.2021.103187 | |
dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
bordeaux.journal | Computer-Aided Design | |
bordeaux.page | 103187 | |
bordeaux.volume | 145 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-03922647 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03922647v1 | |
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