Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/26039

TitleA sixth-order finite volume method for multidomain convection–diffusion problem with discontinuous coefficients
Author(s)Clain, Stéphane
Machado, Gaspar J.
Nóbrega, J. M.
Pereira, Rui M. S.
KeywordsFinite volume
Convection–diffusion
Polynomial reconstruction
Heat transfer
Discontinuous coefficients
High-order
Issue date2013
PublisherElsevier
JournalComput. Methods Appl. Mech. Engrg.
Abstract(s)A sixth-order finite volume method is proposed to solve the bidimensional linear steady- state convection–diffusion equation. A new class of polynomial reconstructions is proposed to provide accurate fluxes for the convective and the diffusive operators. The method is also designed to compute accurate approximations even with discontinuous diffusion coeffi- cient or velocity and remains robust for large Peclet numbers. Discontinuous solutions deriving from the linear heat transfer Newton law are also considered where a decompo- sition domain technique is applied to maintain an effective sixth-order approximation. Numerical tests covering a large panel of situations are addressed to assess the perfor- mances of the method.
TypeArticle
URIhttp://hdl.handle.net/1822/26039
DOI10.1016/j.cma.2013.08.003
ISSN0045-7825
Publisher versionwww.elsevier.com/locate/cma
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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