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Benchmark solution for a three-dimensional mixed convection flow - Part 1: reference solutions

hal.structure.identifierLaboratoire de Modélisation et Simulation Multi Echelle [MSME]
dc.contributor.authorNICOLAS, Xavier
hal.structure.identifierInstitut universitaire des systèmes thermiques industriels [IUSTI]
dc.contributor.authorMÉDALE, M.
hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorGLOCKNER, Stéphane
hal.structure.identifierService de Thermo-hydraulique et de Mécanique des Fluides [STMF]
dc.contributor.authorGOUNAND, S.
dc.date.accessioned2021-05-14T10:04:43Z
dc.date.available2021-05-14T10:04:43Z
dc.date.issued2011-10-28
dc.identifier.issn1040-7790
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/78511
dc.description.abstractEnAbstract A solution to a benchmark problem for a three-dimensional mixed convection flow in a horizontal rectangular channel heated from below and cooled from above (Poiseuille-Rayleigh-Bénard flow) is proposed. This flow is a steady thermoconvective longitudinal roll flow in a large aspect ratio channel at moderate Reynolds and Rayleigh numbers (Re=50, Ra=5000) and Prandtl number Pr=0.7. The model is based on the Navier-Stokes equations with Boussinesq approximation. We propose reference solutions resulting from computations on large grids, Richardson extrapolation (RE) and cubic spline interpolations. The solutions obtained with one finite difference, one finite volume and two finite element codes are in good agreement and reference values for the flow and thermal fields and the heat and momentum fluxes are given with 4 to 5 significant digits.
dc.language.isoen
dc.publisherTaylor & Francis
dc.subject.enRichardson extrapolation
dc.subject.enBenchmark
dc.subject.enmixed convection
dc.subject.enPoiseuille-Rayleigh-Bénard
dc.subject.enreference solution
dc.subject.enboundary conditions
dc.subject.ensingularity
dc.subject.enconvergence order
dc.title.enBenchmark solution for a three-dimensional mixed convection flow - Part 1: reference solutions
dc.typeArticle de revue
dc.identifier.doi10.1080/10407790.2011.616758
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]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Thermique [physics.class-ph]
dc.subject.halPhysique [physics]/Mécanique [physics]/Thermique [physics.class-ph]
dc.subject.halSciences de l'ingénieur [physics]/Milieux fluides et réactifs
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halInformatique [cs]/Analyse numérique [cs.NA]
bordeaux.journalNumerical Heat Transfer, Part B Fundamentals
bordeaux.page325-345
bordeaux.volume60
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-00692092
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00692092v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Numerical%20Heat%20Transfer,%20Part%20B%20Fundamentals&rft.date=2011-10-28&rft.volume=60&rft.issue=5&rft.spage=325-345&rft.epage=325-345&rft.eissn=1040-7790&rft.issn=1040-7790&rft.au=NICOLAS,%20Xavier&M%C3%89DALE,%20M.&GLOCKNER,%20St%C3%A9phane&GOUNAND,%20S.&rft.genre=article


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