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High order residual distribution scheme for Navier-Stokes equations.

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]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDE SANTIS, Dante
dc.contributor.editorAIAA
dc.date.accessioned2024-04-04T02:26:52Z
dc.date.available2024-04-04T02:26:52Z
dc.date.created2011-06-23
dc.date.issued2011-06-27
dc.date.conference2011-06-27
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189989
dc.description.abstractEnIn this work we describe the use of the Residual Distribution schemes for the discretization of the conservation laws. In particular, emphasis is put on the construction of a third order accurate scheme. We first recall the proprieties of a Residual Distribution scheme and we show how to construct a high order scheme for advection problems, in particular for the system of the Euler equations. Furthermore, we show how to speed up the convergence of 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 scheme is tested on scalar problems and is used to discretize the Navier-Stokes equations.
dc.language.isoen
dc.publisherAIAA
dc.title.enHigh order residual distribution scheme for Navier-Stokes equations.
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halSciences de l'ingénieur [physics]/Milieux fluides et réactifs
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.title20th AIAA Computational Fluid Dynamics Conference
bordeaux.countryUS
bordeaux.conference.cityHonolulu, Hawaii
bordeaux.peerReviewedoui
hal.identifierinria-00603625
hal.version1
hal.invitedoui
hal.proceedingsoui
hal.conference.organizerAIAA
hal.conference.end2011-06-30
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//inria-00603625v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2011-06-27&rft.au=ABGRALL,%20Remi&DE%20SANTIS,%20Dante&rft.genre=unknown


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