Numerical approximation of parabolic problems by means of residual distribution schemes
hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | ABGRALL, Remi | |
hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
dc.contributor.author | BAURIN, Guillaume | |
hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
dc.contributor.author | KRUST, Arnaud | |
hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | DE SANTIS, Dante | |
hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | RICCHIUTO, Mario | |
dc.date.accessioned | 2024-04-15T09:46:17Z | |
dc.date.available | 2024-04-15T09:46:17Z | |
dc.date.created | 2011-12-04 | |
dc.date.issued | 2011-12-04 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/197991 | |
dc.description.abstract | Nous nous intéressons à l'approximation numérique des problèmes de convection diffusion stationnaires au moyen de schémas distribuant le résidu d'ordre élevé. Dans le cas sans viscosité, on peut développer des schémas distriuant le résidu on linéaires qui sont non oscillant même dans le cas de chocs très forts, tout en ayant le stencil le plus compact possible, sur des maillages non struturés hybrides. Dans ce papier, on propose, et compare, plusieurs extensions de ce s méthodes dans le cas de problèmes de convection diffusion. | |
dc.description.abstractEn | We are interested in the numerical approximation of steady scalar convection diffusion problems by mean of high order schemes called Residual Distribution (RD). In the inviscid case, one can develop non linear RD that are non oscillatory, even in the case of very strong shocks, while having the most possible compact stencil, on hybrid unstructured meshes. This paper proposes and compare several extension of these schemes for the convection diffusion problem. This methodology, in particular in term of accuracy, is evaluated on several problems, some of which having exact solutions. | |
dc.language.iso | en | |
dc.subject.en | Convection diffusion | |
dc.subject.en | residual distribution schemes | |
dc.subject.en | finite element methods | |
dc.subject.en | non structured meshes | |
dc.title.en | Numerical approximation of parabolic problems by means of residual distribution schemes | |
dc.type | Rapport | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
dc.description.sponsorshipEurope | Adaptive Schemes for Deterministic and Stochastic Flow Problems | |
bordeaux.page | 21 | |
bordeaux.hal.laboratories | Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.type.institution | INRIA | |
bordeaux.type.report | rr | |
hal.identifier | hal-00647999 | |
hal.version | 1 | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00647999v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2011-12-04&rft.spage=21&rft.epage=21&rft.au=ABGRALL,%20Remi&BAURIN,%20Guillaume&KRUST,%20Arnaud&DE%20SANTIS,%20Dante&RICCHIUTO,%20Mario&rft.genre=unknown |
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