A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
| Autor: | Antonio Huerta, Guillem Barroso, Antonio J. Gil, M. Mallett, Paul D. Ledger |
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| Přispěvatelé: | Universitat Politècnica de Catalunya. Doctorat Erasmus Mundus en Simulació en Enginyeria i Desenvolupament de l'Emprenedoria, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Engineering
Civil Computer science Computation Reduced order methods Computational Mechanics General Physics and Astronomy Engineering Multidisciplinary 010103 numerical & computational mathematics 01 natural sciences law.invention Discrete system High fidelity law Real-time simulation Medical imaging Eddy current Engineering Ocean 0101 mathematics Engineering Aerospace Engineering Biomedical MRI scanners Matemàtiques i estadística::Estadística aplicada::Estadística biosanitària [Àrees temàtiques de la UPC] Mechanical Engineering 82 Statistical mechanics structure of matter::82D Applications to specific types of physical systems [Classificació AMS] Proper generalised decomposition Computer Science Software Engineering Engineering Marine Computer Science Applications 010101 applied mathematics Vibration Engineering Manufacturing Engineering Mechanical Mecànica estadística Mechanics of Materials Magneto-mechanics Electromagnetic shielding Engineering Industrial Statistical mechanics Algorithm |
| Zdroj: | Scipedia Open Access Scipedia SL UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ 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. |
| Databáze: | OpenAIRE |
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