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An Enriched Shifted Boundary Method to Account For Moving Fronts

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCARLIER, Tiffanie
hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorNOUVEAU, Léo
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorBEAUGENDRE, Heloise
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCOLIN, Mathieu
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.issued2023
dc.identifier.issn0021-9991
dc.description.abstractEnWe present an extension of the shifted boundary method to simulate partial differential equations with moving internal interfaces. The objective is to apply the method to phase change problems modelled by the Stefan equation : the parabolic heat equation with a discontinuity separating the two phases, moving at a speed given by the normal flux jump. To obtain an accurate prediction of the temperature field on both sides of the discontinuity, and of the position of the discontinuity itself, we propose an enhanced variant of the shifted boundary method. This method is based on an enriched mixed form proposed by some of the present authors, which allows a uniform second order accuracy in space and time. Stabilization terms are added on the whole domain to ensure convergence. The specificities generated by the interface displacement are handled by a particular construction, with a double nodal points structure at the surrogate interface. Several recovering techniques based on Taylor developments from the interface to its surrogate, and a least square minimization method for node initialization are performed to recover the missing values generated by the moving interface and the phase structure of the model.
dc.language.isoen
dc.publisherElsevier
dc.subject.enEnriched shifted boundary method
dc.subject.enTemperature enrichment
dc.subject.enStefan mixed formulation
dc.subject.enMoving front
dc.subject.enJump condition
dc.subject.enFinite element method
dc.title.enAn Enriched Shifted Boundary Method to Account For Moving Fronts
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2023.112295
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Computational Physics
bordeaux.volume489
bordeaux.peerReviewedoui
hal.identifierhal-03661072
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03661072v1
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