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Stability Analysis and Numerical Study 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]
hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
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 de Mathématiques de Bordeaux [IMB]
hal.structure.identifierÉquipe Calcul scientifique et Modélisation
dc.contributor.authorCOLIN, Mathieu
dc.date.conference2023-04-25
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. Embedded methods avoid boundary fitted grids in favor of immersing the boundary in a pre-existing fixed grid. In this category of methods we are interested in the shifted boundary method, where the physical boundary is replaced by a surrogate boundary, which is updated after each displacement of the physical boundary [1, 2]. Here, we examine the application of this technique to a Stefan problem. In the formulation, the moving boundary progresses at a speed determined by the normal flux jump and is a source of instabilities which can impact the solution on the whole domain. To understand this, a linear stability analysis of the numerical technique is performed [3]. The stability analysis gives an understanding of the terms necessary to add in the weak formulation for its stabilization. A comparison is made with and without these terms to highlight the improvement in accuracy of the method.
dc.language.isoen
dc.rights.urihttp://creativecommons.org/licenses/by/
dc.title.enStability Analysis and Numerical Study of Stefan Problems for Embedded Computation of Moving Internal Boundaries
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halInformatique [cs]
bordeaux.conference.titleCFC 2023 - 22nd Computational Fluids Conference
bordeaux.countryFR
bordeaux.conference.cityCannes
bordeaux.peerReviewedoui
hal.identifierhal-04359856
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2023-04-28
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04359856v1
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&rft.genre=unknown


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