A sixth-order finite volume method for multidomain convection–diffusion problem with discontinuous coefficients

doi:10.1016/j.cma.2013.08.003

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/26039

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Campo DC	Valor	Idioma
dc.contributor.author	Clain, Stéphane	-
dc.contributor.author	Machado, Gaspar J.	-
dc.contributor.author	Nóbrega, J. M.	-
dc.contributor.author	Pereira, Rui M. S.	-
dc.date.accessioned	2013-11-11T15:11:23Z	-
dc.date.available	2013-11-11T15:11:23Z	-
dc.date.issued	2013	-
dc.date.submitted	2013-10-01	-
dc.identifier.issn	0045-7825	por
dc.identifier.uri	https://hdl.handle.net/1822/26039	-
dc.description.abstract	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.	por
dc.description.sponsorship	The authors research was financed by FEDER Funds through Programa Operacional Factores de Competitividade – COM- PETE and by Portuguese Funds through Fundação para a Ciência e a Tecnologia, within the project PTDC/MAT/121185/2010. The first, second, and the fourth author research was financed by FEDER Funds through Programa Operacional Factores de Competitividade – COMPETE and by Portuguese Funds through Fundação para a Ciência e a Tecnologia, within the Project PEst-C/MAT/UI0013/2011 and the third author within the Project PEst-C/CTM/LA0025/2013. The first, second, and fourth authors research was financed by the Programa Pessoa Cooperação Transnacional Portugal/ França Fundação para a Ciência e a Tecnologia under the reference 130631467126259. The authors would like to acknowledge N.D. Gonçalves for providing the geometry files used for the cooling stage case study.	por
dc.language.iso	eng	por
dc.publisher	Elsevier 1	por
dc.rights	restrictedAccess	por
dc.subject	Finite volume	por
dc.subject	Convection–diffusion	por
dc.subject	Polynomial reconstruction	por
dc.subject	Heat transfer	por
dc.subject	Discontinuous coefficients	por
dc.subject	High-order	por
dc.title	A sixth-order finite volume method for multidomain convection–diffusion problem with discontinuous coefficients	por
dc.type	article	por
dc.peerreviewed	yes	por
dc.relation.publisherversion	www.elsevier.com/locate/cma	por
sdum.publicationstatus	published	por
oaire.citationStartPage	43	por
oaire.citationEndPage	64	por
oaire.citationTitle	Comput. Methods Appl. Mech. Engrg.	por
oaire.citationVolume	267	por
dc.identifier.doi	10.1016/j.cma.2013.08.003	-
dc.subject.wos	Science & Technology	por
sdum.journal	Comput. Methods Appl. Mech. Engrg.	por
Aparece nas coleções:	CMAT - Artigos em revistas com arbitragem / Papers in peer review journals