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A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners

Scott Bagwell, Paul Ledger, Antonio Gil Orcid Logo, Mike Mallett, Marcel Kruip

International Journal for Numerical Methods in Engineering, Volume: 112, Issue: 10, Pages: 1323 - 1352

Swansea University Authors: Paul Ledger, Antonio Gil Orcid Logo

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DOI (Published version): 10.1002/nme.5559

Abstract

We propose a new computational framework for the treatment of acousto-magneto-mechanical coupling that arises in low-frequency electro-magneto-mechanical systems such as MRI scanners. Our transient Newton-Raphson strategy involves the solution of a monolithic system obtained from the linearisation o...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa29689
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spelling 2021-01-07T13:29:29.3386047 v2 29689 2016-09-01 A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2016-09-01 FGSEN We propose a new computational framework for the treatment of acousto-magneto-mechanical coupling that arises in low-frequency electro-magneto-mechanical systems such as MRI scanners. Our transient Newton-Raphson strategy involves the solution of a monolithic system obtained from the linearisation of the coupled system of equations. Moreover, this framework, in the case of excitation from static and harmonic current sources, allows us to propose a simple linearised system and rigorously motivate a single-step strategy for understanding the response of systems under different frequencies of excitation. Motivated by the need to solve industrial problems rapidly, we restrict ourselves to solving problems consisting of axisymmetric geometries and current sources. Our treatment also discusses in detail the computational requirements for the solution of these coupled problems on unbounded domains and the accurate discretisation of the fields using hp-finite elements. We include a set of academic and industrially relevant examples to benchmark and illustrate our approach. Journal Article International Journal for Numerical Methods in Engineering 112 10 1323 1352 0029-5981 Multifield systems; Finite element methods; Newton methods; Spectral Acousto-magneto-mechanical coupling; MRI Scanner 7 12 2017 2017-12-07 10.1002/nme.5559 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University RCUK, EP/L505699/1 2021-01-07T13:29:29.3386047 2016-09-01T21:44:38.0968445 College of Engineering Engineering Scott Bagwell 1 Paul Ledger 2 Antonio Gil 0000-0001-7753-1414 3 Mike Mallett 4 Marcel Kruip 5 0029689-31072017135950.pdf Bagwell_et_al-2017-International_Journal_for_Numerical_Methods_in_Engineeringv2.pdf 2017-07-31T13:59:50.6770000 Output 4000437 application/pdf Version of Record true 2017-07-31T00:00:00.0000000 Distributed under the terms of a Creative Commons Attribution (CC-BY) Licence. true eng https://creativecommons.org/licenses/by/4.0/
title A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
spellingShingle A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
Paul Ledger
Antonio Gil
title_short A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
title_full A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
title_fullStr A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
title_full_unstemmed A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
title_sort A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
author_id_str_mv 068dd31af167bcda33878951b2a01e97
1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 068dd31af167bcda33878951b2a01e97_***_Paul Ledger
1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Paul Ledger
Antonio Gil
author2 Scott Bagwell
Paul Ledger
Antonio Gil
Mike Mallett
Marcel Kruip
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 112
container_issue 10
container_start_page 1323
publishDate 2017
institution Swansea University
issn 0029-5981
doi_str_mv 10.1002/nme.5559
college_str College of Engineering
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hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
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description We propose a new computational framework for the treatment of acousto-magneto-mechanical coupling that arises in low-frequency electro-magneto-mechanical systems such as MRI scanners. Our transient Newton-Raphson strategy involves the solution of a monolithic system obtained from the linearisation of the coupled system of equations. Moreover, this framework, in the case of excitation from static and harmonic current sources, allows us to propose a simple linearised system and rigorously motivate a single-step strategy for understanding the response of systems under different frequencies of excitation. Motivated by the need to solve industrial problems rapidly, we restrict ourselves to solving problems consisting of axisymmetric geometries and current sources. Our treatment also discusses in detail the computational requirements for the solution of these coupled problems on unbounded domains and the accurate discretisation of the fields using hp-finite elements. We include a set of academic and industrially relevant examples to benchmark and illustrate our approach.
published_date 2017-12-07T03:41:16Z
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