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Multi-dimensional simulation of phase change by a 0D-2D model coupling via Stefan condition

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierInstitut de recherche sur les systèmes nucléaires pour la production d'énergie bas carbone (CEA - DES) [IRESNE]
dc.contributor.authorLOUBÈRE, Raphaël
hal.structure.identifierInstitut de recherche sur les systèmes nucléaires pour la production d'énergie bas carbone (CEA - DES) [IRESNE]
dc.contributor.authorDROUILLET, Adrien
hal.structure.identifierInstitut de recherche sur les systèmes nucléaires pour la production d'énergie bas carbone (CEA - DES) [IRESNE]
dc.contributor.authorLE TELLIER, Romain
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPEYBERNES, Mathieu
hal.structure.identifierInstitut de recherche sur les systèmes nucléaires pour la production d'énergie bas carbone (CEA - DES) [IRESNE]
dc.contributor.authorVIOT, Louis
dc.date.accessioned2024-04-04T02:45:30Z
dc.date.available2024-04-04T02:45:30Z
dc.date.issued2021
dc.identifier.issn2096-6385
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191473
dc.description.abstractEnConsidering phase changes associated with a high-temperature molten material cooled down from the outside, this work presents an improvement of the modelling and the numerical simulation of such processes for an application pertaining to the safety of light water nuclear reactors. Postulating a core meltdown accident, the behaviour of the core melt (aka corium) into a steel vessel is of tremendous importance when evaluating the vessel integrity. Evaluating correctly the heat fluxes requires the numerical simulation of the interaction between the liquid material and its solid counterpart which forms during the solidification process, but also may melt back. To simulate this configuration, encountered in various industrial applications, one considers a bi-phase model constituted by a liquid phase in contact and interaction with its solid phase. The liquid phase may solidify in presence of low energetic source, while the solid phase may melt due to an intense heat flux from the high-temperature liquid. In the frame of the in-house legacy code, several simplifying assumptions (0D multi-layer discretization, instantaneous heat transfer via a quadratic temperature profile in solids) are made for the modelling of such phase changes. In the present work, these shortcomings are illustrated and further overcome by solving a 2D heat conduction model in the solid by a mixed Raviart-Thomas finite element method coupled to the liquid phase due to heat and mass exchanges through Stefan condition. The liquid phase is modeled with a 0D multi-layer approach. The 0D-liquid and 2D-solid models are coupled by a Stefan like phase change interface model. Several sanity checks are performed to assess the validity of the approach on 1D and 2D academical configurations for which exact or reference solutions are available. Then more advanced situations (genuine multidimensional phase changes and an "industrial-like scenario") are simulated to verify the appropriate behavior of the obtained coupled simulation scheme.
dc.language.isoen
dc.publisherSpringer
dc.subject.enSimulation of phase change
dc.subject.enFusion
dc.subject.enSolidification
dc.subject.en0D multi-layer model
dc.subject.en2D heat conduction model
dc.subject.enModel coupling
dc.subject.enSimulation of phase change
dc.title.enMulti-dimensional simulation of phase change by a 0D-2D model coupling via Stefan condition
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalCommunications on Applied Mathematics and Computation
bordeaux.page883-884
bordeaux.volume5
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03358560
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03358560v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20on%20Applied%20Mathematics%20and%20Computation&rft.date=2021&rft.volume=5&rft.spage=883-884&rft.epage=883-884&rft.eissn=2096-6385&rft.issn=2096-6385&rft.au=LOUB%C3%88RE,%20Rapha%C3%ABl&DROUILLET,%20Adrien&LE%20TELLIER,%20Romain&PEYBERNES,%20Mathieu&VIOT,%20Louis&rft.genre=article


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