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A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners

Guillem Barroso, Antonio Gil Orcid Logo, Paul Ledger, Mike Mallett, Antonio Huerta

Computer Methods in Applied Mechanics and Engineering, Volume: 358, Start page: 112640

Swansea University Authors: Antonio Gil Orcid Logo, Paul Ledger

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DOI (Published version): 10.1016/j.cma.2019.112640

Abstract

Latest developments in high-strength Magnetic Resonance Imaging (MRI) scanners with in-built high resolution, have dramatically enhanced the ability of clinicians to diagnose tumours and rare illnesses. However, their high-strength transient magnetic fields induce unwanted eddy currents in shielding...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa51902
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spelling 2020-11-05T14:21:18.8761427 v2 51902 2019-09-16 A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 2019-09-16 CIVL Latest developments in high-strength Magnetic Resonance Imaging (MRI) scanners with in-built high resolution, have dramatically enhanced the ability of clinicians to diagnose tumours and rare illnesses. However, their high-strength transient magnetic fields induce unwanted eddy currents in shielding components, which result in fast vibrations, noise, imaging artefacts and, ultimately, heat dissipation, boiling off the helium used to super-cool the magnets. Optimum MRI scanner design requires the capturing of complex electro-magneto-mechanical interactions with high fidelity computational tools. During production cycles, this is known to be extremely expensive due to the large number of configurations that need to be tested. There is an urgent need for the development of new cost-effective methods whereby previously performed computations can be assimilated as training solutions of a surrogate digital twin model to allow for real-time simulations. In this paper, a Reduced Order Modelling technique based on the Proper Generalised Decomposition method is presented for the first time in the context of MRI scanning design, with two distinct novelties. First, the paper derives from scratch the offline higher dimensional parametrised solution process of the coupled electro-magneto-mechanical problem at hand and, second, a regularised adaptive methodology is proposed for the circumvention of numerical singularities associated with the ill-conditioning of the discrete system in the vicinity of resonant modes. A series of numerical examples are presented in order to illustrate, motivate and demonstrate the validity and flexibility of the considered approach. Journal Article Computer Methods in Applied Mechanics and Engineering 358 112640 0045-7825 Magneto-mechanics, Medical imaging, MRI scanners, Reduced order methods, Proper generalised decomposition, Real-time simulation 1 1 2020 2020-01-01 10.1016/j.cma.2019.112640 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-11-05T14:21:18.8761427 2019-09-16T09:59:47.3341748 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Guillem Barroso 1 Antonio Gil 0000-0001-7753-1414 2 Paul Ledger 3 Mike Mallett 4 Antonio Huerta 5 0051902-16092019100204.pdf barroso2019.pdf 2019-09-16T10:02:04.2270000 Output 8481974 application/pdf Accepted Manuscript true 2020-09-26T00:00:00.0000000 © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ false eng
title A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
spellingShingle A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
Antonio Gil
Paul Ledger
title_short A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
title_full A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
title_fullStr A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
title_full_unstemmed A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
title_sort A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
068dd31af167bcda33878951b2a01e97
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
068dd31af167bcda33878951b2a01e97_***_Paul Ledger
author Antonio Gil
Paul Ledger
author2 Guillem Barroso
Antonio Gil
Paul Ledger
Mike Mallett
Antonio Huerta
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 358
container_start_page 112640
publishDate 2020
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2019.112640
college_str Faculty of Science and Engineering
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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
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description Latest developments in high-strength Magnetic Resonance Imaging (MRI) scanners with in-built high resolution, have dramatically enhanced the ability of clinicians to diagnose tumours and rare illnesses. However, their high-strength transient magnetic fields induce unwanted eddy currents in shielding components, which result in fast vibrations, noise, imaging artefacts and, ultimately, heat dissipation, boiling off the helium used to super-cool the magnets. Optimum MRI scanner design requires the capturing of complex electro-magneto-mechanical interactions with high fidelity computational tools. During production cycles, this is known to be extremely expensive due to the large number of configurations that need to be tested. There is an urgent need for the development of new cost-effective methods whereby previously performed computations can be assimilated as training solutions of a surrogate digital twin model to allow for real-time simulations. In this paper, a Reduced Order Modelling technique based on the Proper Generalised Decomposition method is presented for the first time in the context of MRI scanning design, with two distinct novelties. First, the paper derives from scratch the offline higher dimensional parametrised solution process of the coupled electro-magneto-mechanical problem at hand and, second, a regularised adaptive methodology is proposed for the circumvention of numerical singularities associated with the ill-conditioning of the discrete system in the vicinity of resonant modes. A series of numerical examples are presented in order to illustrate, motivate and demonstrate the validity and flexibility of the considered approach.
published_date 2020-01-01T04:03:57Z
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