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Construction of a $p$-adaptive continuous Residual Distribution scheme

hal.structure.identifierUniversität Zürich [Zürich] = University of Zurich [UZH]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorVIVILLE, Quentin
hal.structure.identifierInstitut Polytechnique de Bordeaux
dc.contributor.authorBEAUGENDRE, Héloïse
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDOBRZYNSKI, Cecile
dc.date.accessioned2024-04-04T03:11:00Z
dc.date.available2024-04-04T03:11:00Z
dc.date.created2017-02-13
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193733
dc.description.abstractEnA \textit{p}-adaptive continuous Residual Distribution scheme is proposed in this paper.Under certain conditions, primarily the expression of the total residual on a given element $K$ into residuals on the sub-elements of $K$ and the use of a suitable combination of quadrature formulas,it is possible to change locally the degree of the polynomial approximation of the solution.The discrete solution can then be considered non continuous across the interface of elements of different orders, while the numerical scheme still verifies the hypothesis of the discrete Lax-Wendroff theorem which ensures its convergenceto a correct weak solution.We detail the theoretical material and the construction of our \textit{p}-adaptive method in the frame of a continuous Residual Distribution scheme. Different test cases for non-linear equations at different flow velocities demonstrate numerically the validity of the theoretical results.
dc.description.sponsorshipInitiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003
dc.language.isoen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/
dc.subject.enCompressible Navier Stokes equations
dc.subject.enUnstructured meshes
dc.subject.enresidual distribution schemes
dc.subject.enMesh adaptation
dc.subject.ennon oscillatory schemes
dc.title.enConstruction of a $p$-adaptive continuous Residual Distribution scheme
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01466261
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01466261v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ABGRALL,%20Remi&VIVILLE,%20Quentin&BEAUGENDRE,%20H%C3%A9lo%C3%AFse&DOBRZYNSKI,%20Cecile&rft.genre=preprint


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