Please use this identifier to cite or link to this item:

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
Polynomial reconstruction
Heat transfer
Discontinuous coefficients
Issue date2013
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.
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
  Restricted access
documento principal5,39 MBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID