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Numerical Analysis of Stefan Problems for Embedded Computation of Moving Internal Boundaries

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCARLIER, Tiffanie
hal.structure.identifierClarkson University
dc.contributor.authorHELENBROOK, Brian
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierÉquipe Calcul scientifique et Modélisation
dc.contributor.authorBEAUGENDRE, Heloise
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierÉquipe Calcul scientifique et Modélisation
dc.contributor.authorCOLIN, Mathieu
hal.structure.identifierInstitut National des Sciences Appliquées - Rennes [INSA Rennes]
hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorNOUVEAU, Léo
dc.date.conference2023-09-04
dc.description.abstractEnClassical finite element methods used to model problems with internal boundaries rely on body fitted computational grids. However, those methods encounter computational challenges when the boundaries are deformed or moved substantially. In this direction, embedded methods do not require the use ofboundary fitted grids in favor of immersing the boundary in a pre-existing fixed grid. In this talk we are interested in the shifted boundary method, where a surrogate boundary is added to the physical one.For simplicity, we focus on a Stefan Problem written in its mixed form. In the corresponding variationalformulation, the moving boundary evolves at a speed determined by the normal flux jump. To obtainan accurate prediction of the temperature field on both sides of the discontinuity, as well as the positionof the discontinuity itself, we propose an enhanced variant of the shifted boundary method based on anenriched stabilized mixed form (see [1], [2]). Note that, since the boundary is moving inside the domain,some instabilities can appear. It is then necessary to perform a linear stability analysis (see [3]). We alsopresent some numerical computations, which confirm the expected overall second order accuracy of themethod and its ability to properly simulate de-icing problems.
dc.language.isoen
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/publicDomain/
dc.subject.enSBM
dc.subject.enMixed Formulation
dc.subject.enStefan Problem
dc.subject.enStability Analysis
dc.title.enNumerical Analysis of Stefan Problems for Embedded Computation of Moving Internal Boundaries
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]
dc.subject.halInformatique [cs]
bordeaux.conference.titleENUMATH 2023 - The European Conference on Numerical Mathematics and Advanced Applications
bordeaux.countryPT
bordeaux.conference.cityLisbonne
bordeaux.peerReviewedoui
hal.identifierhal-04359844
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2023-09-08
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04359844v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CARLIER,%20Tiffanie&HELENBROOK,%20Brian&BEAUGENDRE,%20Heloise&COLIN,%20Mathieu&NOUVEAU,%20L%C3%A9o&rft.genre=unknown


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