Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Computer-Aided Design Année : 2022

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

Résumé

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.

Dates et versions

hal-03922647 , version 1 (12-10-2021)
hal-03922647 , version 2 (04-01-2023)

Identifiants

Citer

Joseph Wallwork, Nicolas Barral, David Ham, Matthew Piggott. Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling. Computer-Aided Design, 2022, 145, pp.103187. ⟨10.1016/j.cad.2021.103187⟩. ⟨hal-03922647v2⟩
66 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More