2026-04-17T04:33:14Zhttps://recercat.cat/oai/request
oai:recercat.cat:2117/3359272026-01-27T03:15:04Zcom_2072_1033col_2072_452950
RECERCAT author Barroso Gassiot, Guillem author Seoane Chouciño, Marcos author Gil Ruiz, Antonio Javier author Ledger, Paul D. author Mallett, Mike author Huerta, Antonio 2020-10-01 © 2020 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Manufacturing new Magnetic Resonance Imaging (MRI) scanners represents a computational challenge to industry, due to the large variability in material parameters and geometrical configurations that need to be tested during the early design phase. This process can be highly optimised through the employment of user-friendly computational metamodels constructed on the basis of Reduced Order Modelling (ROM) techniques, where high-dimensional parametric offline solutions are obtained, stored and assimilated in order to be efficiently queried in real time. This paper presents a novel Proper Generalised Decomposition (PGD) based metamodel for the analysis of electro-magneto-mechanical interactions in the context of MRI scanner design, with three distinct novelties. First, the paper derives, from scratch, a five-dimensional parametrised offline solution process, expressed in terms of (axisymmetric) cylindrical coordinates, external excitation frequency, electrical conductivity of the embedded shields and strength of the static magnetic field. Second, by exploiting the staggered nature of the coupled problem at hand, an efficient sequential PGD algorithm is derived and compared against a previously published monolithic PGD algorithm. As a third novelty, the paper draws some interesting comparisons against an alternative tailor-made ROM technique, where the electromagnetic equations are solved using a Proper Orthogonal Decomposition model. A series of numerical examples are presented in order to illustrate, motivate and demonstrate the validity and potential of the considered approach, especially in terms of cost reduction.Peer ReviewedPostprint (author's final draft) Open Access Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Programació matemàtica Programming (Mathematics) Coupled magneto-mechanical problems MRI scanners Design optimisation Reduced Order Modelling Proper Generalised Decomposition Real time simulation Multiple-query evaluation Programació (Matemàtica) Classificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science A staggered high-dimensional Proper Generalised Decomposition for coupled magneto-mechanical problems with application to MRI scanners Article