A projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems
hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | IOLLO, Angelo | |
hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | SAMBATARO, Giulia | |
hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | TADDEI, Tommaso | |
dc.date.accessioned | 2024-04-04T02:43:56Z | |
dc.date.available | 2024-04-04T02:43:56Z | |
dc.date.issued | 2022-06-30 | |
dc.identifier.issn | 0029-5981 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191368 | |
dc.description.abstractEn | We propose a projection-based monolithic model order reduction (MOR) procedure for a class of problems in nonlinear mechanics with internal variables. The work is is motivated by applications to thermo-hydromechanical (THM) systems for radioactive waste disposal. THM equations model the behaviour of temperature, pore water pressure and solid displacement in the neighborhood of geological repositories, which contain radioactive waste and are responsible for a significant thermal flux towards the Earth's surface. We develop an adaptive sampling strategy based on the POD-Greedy method, and we develop an element-wise empirical quadrature hyper-reduction procedure to reduce assembling costs. We present numerical results for a two-dimensional THM system to illustrate and validate the proposed methodology. | |
dc.language.iso | en | |
dc.publisher | Wiley | |
dc.subject.en | Parameterized partial differential equations | |
dc.subject.en | Model order reduction | |
dc.subject.en | Nonlinear mechanics | |
dc.title.en | A projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1002/nme.6964 | |
dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
bordeaux.journal | International Journal for Numerical Methods in Engineering | |
bordeaux.page | 2894-2918 | |
bordeaux.volume | 123 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 12 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-03441725 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03441725v1 | |
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