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Face‐centred finite volume methods for Stokes flows with variable viscosity
International Journal for Numerical Methods in Engineering
Swansea University Author:
Rubén Sevilla
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© 2024 The Authors. This is an open access article under the terms of the Creative Commons Attribution License.
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DOI (Published version): 10.1002/nme.7450
Abstract
Six face-centred finite volume formulations are derived and compared for the simulation of Stokes flows with spatially varying viscosity. The main difference between the methods derived is the mixed variable used in the mixed formulation and the use of a weak or strong form in each element using int...
Published in: | International Journal for Numerical Methods in Engineering |
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ISSN: | 0029-5981 1097-0207 |
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Wiley
2024
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URI: | https://cronfa.swan.ac.uk/Record/cronfa65639 |
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v2 65639 2024-02-14 Face‐centred finite volume methods for Stokes flows with variable viscosity b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2024-02-14 CIVL Six face-centred finite volume formulations are derived and compared for the simulation of Stokes flows with spatially varying viscosity. The main difference between the methods derived is the mixed variable used in the mixed formulation and the use of a weak or strong form in each element using integration by parts. A brief discussion about the properties of the different methods is provided, including comments on the computational cost and the symmetry of the resulting global system of equations. Finally, numerical examples in two and three dimensions are used to compare the accuracy of all the formulations presented. The examples include a problem where the methods are employed to simulate a steep variation of the viscosity, showing the ability to perform these simulations without using a mesh conforming to a material interface. The performance of different element types and different choices of the stabilisation is also discussed. Journal Article International Journal for Numerical Methods in Engineering 0 Wiley 0029-5981 1097-0207 Face-centred finite volume, Stokes, variable viscosity, hybridisable discontinuous Galerkin 14 2 2024 2024-02-14 10.1002/nme.7450 Data availability:The data supporting the findings of this study are openly available and can be accessed via the following link: https://github.com/tduretz/FCFV_NME23. COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University SU Library paid the OA fee (TA Institutional Deal) 2024-04-03T16:31:48.9304368 2024-02-14T14:32:21.7347613 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Rubén Sevilla 0000-0002-0061-6214 1 Thibault Duretz 0000-0001-8472-7490 2 65639__29743__5bd176c7c4e840669473022c6baac02a.pdf 65639_VoR.pdf 2024-03-18T18:11:30.3773189 Output 3703786 application/pdf Version of Record true © 2024 The Authors. This is an open access article under the terms of the Creative Commons Attribution License. true eng http://creativecommons.org/licenses/by/4.0/ |
title |
Face‐centred finite volume methods for Stokes flows with variable viscosity |
spellingShingle |
Face‐centred finite volume methods for Stokes flows with variable viscosity Rubén Sevilla |
title_short |
Face‐centred finite volume methods for Stokes flows with variable viscosity |
title_full |
Face‐centred finite volume methods for Stokes flows with variable viscosity |
title_fullStr |
Face‐centred finite volume methods for Stokes flows with variable viscosity |
title_full_unstemmed |
Face‐centred finite volume methods for Stokes flows with variable viscosity |
title_sort |
Face‐centred finite volume methods for Stokes flows with variable viscosity |
author_id_str_mv |
b542c87f1b891262844e95a682f045b6 |
author_id_fullname_str_mv |
b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla |
author |
Rubén Sevilla |
author2 |
Rubén Sevilla Thibault Duretz |
format |
Journal article |
container_title |
International Journal for Numerical Methods in Engineering |
container_volume |
0 |
publishDate |
2024 |
institution |
Swansea University |
issn |
0029-5981 1097-0207 |
doi_str_mv |
10.1002/nme.7450 |
publisher |
Wiley |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
department_str |
School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering |
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1 |
active_str |
0 |
description |
Six face-centred finite volume formulations are derived and compared for the simulation of Stokes flows with spatially varying viscosity. The main difference between the methods derived is the mixed variable used in the mixed formulation and the use of a weak or strong form in each element using integration by parts. A brief discussion about the properties of the different methods is provided, including comments on the computational cost and the symmetry of the resulting global system of equations. Finally, numerical examples in two and three dimensions are used to compare the accuracy of all the formulations presented. The examples include a problem where the methods are employed to simulate a steep variation of the viscosity, showing the ability to perform these simulations without using a mesh conforming to a material interface. The performance of different element types and different choices of the stabilisation is also discussed. |
published_date |
2024-02-14T16:31:45Z |
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1795328107076386816 |
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11.021648 |