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Convergence results for the vector penalty-projection and two-step artificial compressibility methods

hal.structure.identifieranalyse appliquée
dc.contributor.authorANGOT, Philippe
hal.structure.identifierÉquipe EDP et Physique Mathématique
dc.contributor.authorFABRIE, Pierre
dc.date.accessioned2024-04-04T02:25:24Z
dc.date.available2024-04-04T02:25:24Z
dc.date.created2011-07-23
dc.date.issued2012-07
dc.identifier.issn1531-3492
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189884
dc.description.abstractEnIn this paper, we propose and analyze a new artificial compressibility splitting method which is issued from the recent vector penalty-projection method for the numerical solution of unsteady incompressible viscous flows introduced in [1], [2] and [3]. This method may be viewed as an hybrid two-step prediction-correction method combining an artificial compressibility method and an augmented Lagrangian method without inner iteration. The perturbed system can be viewed as a new approximation to the incompressible Navier-Stokes equations. In the main result, we establish the convergence of solutions to the weak solutions of the Navier-Stokes equations when the penalty parameter tends to zero.
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.subject.enArtificial compressibility
dc.subject.enNavier-Stokes equations
dc.subject.enVector penalty-projection
dc.subject.enPseudo-compressibility
dc.subject.enPenalty method
dc.title.enConvergence results for the vector penalty-projection and two-step artificial compressibility methods
dc.typeArticle de revue
dc.identifier.doi10.3934/dcdsb.2012.17.1383
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.journalDiscrete and Continuous Dynamical Systems - Series B
bordeaux.pagepp. 1383--1405, communicated by Roger Temam
bordeaux.volume17
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00653113
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00653113v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20and%20Continuous%20Dynamical%20Systems%20-%20Series%20B&rft.date=2012-07&rft.volume=17&rft.issue=5&rft.spage=pp.%201383--1405,%20communicated%20by%20Roger%20Temam&rft.epage=pp.%201383--1405,%20communicated%20by%20Roger%20Temam&rft.eissn=1531-3492&rft.issn=1531-3492&rft.au=ANGOT,%20Philippe&FABRIE,%20Pierre&rft.genre=article


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