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hal.structure.identifierDoosan Skoda Power
dc.contributor.authorDOBES, Jiri
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
hal.structure.identifierUniversität Zürich [Zürich] = University of Zurich [UZH]
dc.contributor.authorABGRALL, Remi
hal.structure.identifiervon Karman Institute for Fluid Dynamics [VKI]
dc.contributor.authorDECONINCK, Herman
dc.date.accessioned2024-04-04T03:20:04Z
dc.date.available2024-04-04T03:20:04Z
dc.date.issued2015
dc.identifier.issn0045-7825
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194560
dc.description.abstractEnThis paper is concerned with the extension of second order residual distribution (RD) schemes to time dependent viscous flows.We provide a critical analysis of the use of a hybrid RD–Galerkin approach for both steady and time dependent problems. Inparticular, as in Ricchiuto (2008) and Villedieu et al. (2011), we study the coupling of a Residual Distribution (RD) discretizationof the advection operator with a Galerkin approximation for the second order derivatives, with a Peclet dependent modulation of theupwinding introduced by the RD scheme. The final objective is to be able to achieve uniform second order of accuracy with respectto variations of the mesh size or, equivalently, of the local Peclet/Reynolds number. Starting from the scalar formulation given inthe second order case in Ricchiuto et al. (2008), we perform an accuracy and stability analysis to extend the approach to timedependentproblems, and provide thorough numerical validation of the theoretical results. The schemes, formally extended to thesystem of laminar Navier–Stokes equations, are also compared to a finite volume scheme with least-squares linear reconstructionon the solution of standard test problems. While the scalar tests show the potential of this approach in providing uniform accuracyw.r.t. the range of values of the Peclet/Reynolds number, the results for the laminar Navier–Stokes equations show that in practice,the use of Peclet number based corrections does not change dramatically the quality of the solutions obtained. This justifies thequest for new formulations.
dc.language.isoen
dc.publisherElsevier
dc.subject.enTime dependent flows
dc.subject.enViscous flows
dc.subject.enHybrid scheme
dc.subject.enContinuous Galerkin
dc.subject.enUnstructured grids
dc.subject.enResidual distribution
dc.title.enOn hybrid residual distribution-Galerkin disretizations for steady and time dependent viscous laminar flows
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cma.2014.09.002
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'ingénieur [physics]/Milieux fluides et réactifs
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
bordeaux.journalComputer Methods in Applied Mechanics and Engineering
bordeaux.page1336-1356
bordeaux.volume283
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01087733
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01087733v1
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