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Vers des méthodes immerées generalisées:une approche Shifted Boundary P1 avec des flux d'ordre pour les équations de Darcy

hal.structure.identifierDuke University [Durham]
dc.contributor.authorNOUVEAU, Léo
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
hal.structure.identifierDuke University [Durham]
dc.contributor.authorSCOVAZZI, Guglielmo
dc.date.accessioned2024-04-04T03:05:11Z
dc.date.available2024-04-04T03:05:11Z
dc.date.issued2018
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193223
dc.description.abstractEnIn this paper, we propose to extend the recent embedded boundary method known as "shifted boundary method" to the Darcy flow problems. The aim is to provide an improved formulation that would give, using linear approximation, at least second order accuracy on bothflux and pressure variables, for any kind of boundary condition, considering embedded simulations.The strategy adopted here is to enrich the approximation of the pressure using Taylor expansionsalong the edges. The objective of this enrichment is to give a quadratic shape to the pressure. The resulted scheme provides high order accuracy on both variables for embedded simulations with an overall second order accuracy, that is bumped to third order for the pressure when only Dirichletboundaries are embedded.
dc.language.isoen
dc.subjectMilieux poreux
dc.subjectEléments finis
dc.subjectConditions aux bords embedded
dc.subjectEquations de Darcy
dc.subjectEquations des ondes
dc.subjectMéthodes immergéess
dc.subject.enSurrogate domain
dc.subject.enStabilized methods
dc.subject.enEmbedded boundary
dc.subject.enFinite element method
dc.subject.enApproximate boundary
dc.subject.enDarcy flow
dc.subject.enComputational fluid dynamics
dc.titleVers des méthodes immerées generalisées:une approche Shifted Boundary P1 avec des flux d'ordre pour les équations de Darcy
dc.title.enToward genuinely high order embedded computations: a P1 Shifted Boundary Method with high order fluxes for Darcy problems
dc.typeRapport
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionInria Bordeaux Sud-Ouest
bordeaux.type.reportrr
hal.identifierhal-01877637
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01877637v1
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