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hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects

D. Jin, Paul Ledger, Antonio Gil Orcid Logo

Computers & Structures, Volume: 164, Pages: 161 - 180

Swansea University Authors: Paul Ledger, Antonio Gil Orcid Logo

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DOI (Published version): 10.1016/j.compstruc.2015.11.008

Abstract

We extend our existing hp-finite element framework for non-conducting magnetic fluids (Jin et al., 2014) to the treatment of conducting magnetic fluids including magnetostriction effects in both two- and three-dimensions. In particular, we present, to the best of our knowledge, the first computation...

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Published in: Computers & Structures
ISSN: 0045-7949
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa25085
first_indexed 2015-12-18T01:56:40Z
last_indexed 2021-01-08T03:40:37Z
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spelling 2021-01-07T13:25:59.3052624 v2 25085 2015-12-17 hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2015-12-17 We extend our existing hp-finite element framework for non-conducting magnetic fluids (Jin et al., 2014) to the treatment of conducting magnetic fluids including magnetostriction effects in both two- and three-dimensions. In particular, we present, to the best of our knowledge, the first computational treatment of magnetostrictive effects in conducting fluids. We propose a consistent linearisation of the coupled system of non-linear equations and solve the resulting discretised equations by means of the Newton–Raphson algorithm. Our treatment allows the simulation of complex flow problems, with non-homogeneous permeability and conductivity, and, apart from benchmarking against established analytical solutions for problems with homogeneous material parameters, we present a series of simulations of multiphase flows in two- and three-dimensions to show the predicative capability of the approach as well as the importance of including these effects. Journal Article Computers & Structures 164 161 180 0045-7949 Magnetohydrodynamics; Coupled problems; hp-Finite elements; Magnetostriction 1 2 2016 2016-02-01 10.1016/j.compstruc.2015.11.008 COLLEGE NANME COLLEGE CODE Swansea University RCUK 2021-01-07T13:25:59.3052624 2015-12-17T14:54:50.6595690 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised D. Jin 1 Paul Ledger 2 Antonio Gil 0000-0001-7753-1414 3 0025085-17122015145619.pdf 1-s2.0-S0045794915003053-main.pdf 2015-12-17T14:56:19.1130000 Output 4889716 application/pdf Version of Record true This is an open access article under the CC-BY license. true eng http:// creativecommons.org/licenses/by/4.0/
title hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
spellingShingle hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
Paul Ledger
Antonio Gil
title_short hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
title_full hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
title_fullStr hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
title_full_unstemmed hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
title_sort hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
author_id_str_mv 068dd31af167bcda33878951b2a01e97
1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 068dd31af167bcda33878951b2a01e97_***_Paul Ledger
1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Paul Ledger
Antonio Gil
author2 D. Jin
Paul Ledger
Antonio Gil
format Journal article
container_title Computers & Structures
container_volume 164
container_start_page 161
publishDate 2016
institution Swansea University
issn 0045-7949
doi_str_mv 10.1016/j.compstruc.2015.11.008
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description We extend our existing hp-finite element framework for non-conducting magnetic fluids (Jin et al., 2014) to the treatment of conducting magnetic fluids including magnetostriction effects in both two- and three-dimensions. In particular, we present, to the best of our knowledge, the first computational treatment of magnetostrictive effects in conducting fluids. We propose a consistent linearisation of the coupled system of non-linear equations and solve the resulting discretised equations by means of the Newton–Raphson algorithm. Our treatment allows the simulation of complex flow problems, with non-homogeneous permeability and conductivity, and, apart from benchmarking against established analytical solutions for problems with homogeneous material parameters, we present a series of simulations of multiphase flows in two- and three-dimensions to show the predicative capability of the approach as well as the importance of including these effects.
published_date 2016-02-01T03:50:22Z
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score 11.04748

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