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An adaptive, residual based, splitting approach for the penalized Navier Stokes equations

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorNOUVEAU, L.
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.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBEAUGENDRE, Heloise
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorDOBRZYNSKI, C.
hal.structure.identifierUniversität Zürich [Zürich] = University of Zurich [UZH]
dc.contributor.authorABGRALL, R.
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T03:15:19Z
dc.date.available2024-04-04T03:15:19Z
dc.date.created2016
dc.date.issued2016-02
dc.identifier.issn0045-7825
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194141
dc.description.abstractEnThe interest on Immersed Boundary Methods (IBM) is increasing in Computational Fluid Dynamics as they simplify the mesh generation problem. In this work, we consider an approach based on the addition of a penalty term to the Navier–Stokes equations to account for the wall boundary conditions. To discretize the resulting equations we use a residual distribution approach previously developed by some of the authors. To adapt the method to the IBM considered, we developed a new formulation of residual distribution based on a Strang splitting method in time, coupling an implicit asymptotic integration procedure of the penalization ODE with a simplified explicit residual distribution for the Navier–Stokes equations. The first method, provides an operator which is exact up to orders η2, with η the penalty parameter assuming values of the order of 10−10. A modification of the solution gradient reconstruction necessary for the evaluation of the viscous fluxes, is also introduced in the paper. This guarantees that correct physical values of the viscous stresses are recovered in vicinity of the solid. We show formally and numerically that the approach proposed is second order accurate for smooth solutions. We evaluate its potential for IBM by coupling the resulting method with unstructured mesh adaptation on wall boundaries. Several steady and time dependent tests are used to show the promising features of the method proposed.
dc.language.isoen
dc.publisherElsevier
dc.subject.enUnstructured grids
dc.subject.enPenalization
dc.subject.enSplitting
dc.subject.enImmersed boundary method
dc.subject.enUnsteady residual schemes
dc.title.enAn adaptive, residual based, splitting approach for the penalized Navier Stokes equations
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cma.2016.01.009
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]
dc.subject.halSciences de l'ingénieur [physics]/Milieux fluides et réactifs
dc.description.sponsorshipEuropeEfficient ice protection Systems and simulation Techniques Of ice Release on propulsive systeMs
bordeaux.journalComputer Methods in Applied Mechanics and Engineering
bordeaux.page208-230
bordeaux.volume303
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01275807
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01275807v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Computer%20Methods%20in%20Applied%20Mechanics%20and%20Engineering&rft.date=2016-02&rft.volume=303&rft.spage=208-230&rft.epage=208-230&rft.eissn=0045-7825&rft.issn=0045-7825&rft.au=NOUVEAU,%20L.&BEAUGENDRE,%20Heloise&DOBRZYNSKI,%20C.&ABGRALL,%20R.&RICCHIUTO,%20Mario&rft.genre=article


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