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A projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorIOLLO, Angelo
hal.structure.identifierMATHematics for MatERIALS [MATHERIALS]
dc.contributor.authorSAMBATARO, Giulia
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorTADDEI, Tommaso
dc.date.accessioned2024-04-04T02:32:39Z
dc.date.available2024-04-04T02:32:39Z
dc.date.issued2021
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190402
dc.descriptionWe 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-hydro-mechanical (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.description.abstractEnWe 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-hydro-mechanical (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.isoen
dc.publisherarXiv
dc.rights.urihttp://creativecommons.org/licenses/by/
dc.subject.enNumerical Analysis (math.NA)
dc.subject.enFOS: Mathematics
dc.title.enA projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems
dc.typeAutre document
dc.identifier.doi10.48550/arXiv.2109.05786
dc.subject.halInformatique [cs]
dc.subject.halMathématiques [math]
dc.description.sponsorshipEuropeAccurate Roms for Industrial Applications
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04280741
hal.version1
hal.popularnon
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04280741v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2021&rft.au=IOLLO,%20Angelo&SAMBATARO,%20Giulia&TADDEI,%20Tommaso&rft.genre=unknown


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