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Construction of a high order Residual Distribution scheme for complex viscous flows

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorDE SANTIS, Dante
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T02:24:52Z
dc.date.available2024-04-04T02:24:52Z
dc.date.issued2012-07-11
dc.date.conference2012-07-09
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189844
dc.description.abstractEnIn this work we describe the use of the Residual Distribution schemes applied to the discretization of conservation laws. In particular, emphasis is put on the construction of a third order accurate scheme. We first recall the properties of a Residual Distribution scheme and we show how to construct a high order scheme for advection problems. Furthermore, we show how to speed up the convergence of the implicit scheme to the steady solution by the means of the Jacobian-free technique. We then extend the scheme to the case of advection-diffusion problems. In particular, we propose a new approach in which the residuals of the advection and diffusion terms are distributed together to get high order accuracy. Due to the continuous approximation of the solution, the gradients of the variables are reconstructed at the nodes and then interpolated on the elements. The numerical scheme is used to discretize the advection-diffusion scalar problem and the compressible Navier-Stokes equations.
dc.language.isoen
dc.subject.enNavier-Stokes equations
dc.subject.enHigh order schemes
dc.subject.enResidual distribution
dc.subject.enComputational Fluid Dynamics
dc.title.enConstruction of a high order Residual Distribution scheme for complex viscous flows
dc.typeCommunication dans un congrès
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]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.description.sponsorshipEuropeIndustrialisation of High-Order Methods - A Top-Down Approach
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleSeventh International Conference on Computational Fluid Dynamics (ICCFD7)
bordeaux.countryUS
bordeaux.conference.cityBig Island, Hawaii,
bordeaux.peerReviewedoui
hal.identifierhal-00716621
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2012-07-13
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00716621v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2012-07-11&rft.au=ABGRALL,%20Remi&DE%20SANTIS,%20Dante&RICCHIUTO,%20Mario&rft.genre=unknown


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