Imperial College London
Alternate

ProfessorMatthewPiggott

Faculty of Engineering, Department of Earth Science & Engineering

Professor of Computational Geoscience and Engineering
 
 
 
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Contact

 

m.d.piggott Website

 
 
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Location

 

4.82Royal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Wallwork:2022:10.1016/j.cad.2021.103187,
author = {Wallwork, JG and Barral, N and Ham, DA and Piggott, MD},
doi = {10.1016/j.cad.2021.103187},
journal = {Computer-Aided Design},
pages = {1--21},
title = {Goal-oriented error estimation and mesh adaptation for tracer transport modelling},
url = {http://dx.doi.org/10.1016/j.cad.2021.103187},
volume = {145},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Wallwork,JG
AU  - Barral,N
AU  - Ham,DA
AU  - Piggott,MD
DO  - 10.1016/j.cad.2021.103187
EP  - 21
PY  - 2022///
SN  - 0010-4485
SP  - 1
TI  - Goal-oriented error estimation and mesh adaptation for tracer transport modelling
T2  - Computer-Aided Design
UR  - http://dx.doi.org/10.1016/j.cad.2021.103187
UR  - https://www.sciencedirect.com/science/article/pii/S0010448521001846?via%3Dihub
UR  - http://hdl.handle.net/10044/1/93267
VL  - 145
ER  -
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