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TitleA new very high-order finite volume method for the 2D convection diffusion problem on unstructured meshes
Author(s)Clain, Stéphane
Machado, Gaspar J.
Pereira, Rui M. S.
KeywordsFinite volume scheme
Polynomial reconstruction;
High-order scheme
Convection diffusion
Issue date28-May-2012
PublisherLaboratório Nacional de Engenharia Civil (LNEC)
Abstract(s)We present a new finite volume scheme based on the Polynomial Reconstruction Operator (PRO-scheme) for the linear convection diffusion problem with structured and unstructured meshes. We first design the numerical scheme for generic two-dimensional cells and introduce two kinds of polynomial reconstructions. Numerical experiences are carried out to prove the stability and the effectiveness of the method where a 6th-order convergence is reached.
TypeConference paper
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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