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TitleVery high-order time scheme for the finite volume method
Author(s)Clain, Stéphane
Machado, Gaspar J.
KeywordsFinite volume
Polynomial reconstruction
Issue date9-Sep-2013
PublisherAssociação Portuguesa de Mecânica Teórica, Aplicada e Computacional (APMTAC)
Abstract(s)We present a new class of very-high-order finite volume schemes for the time dependent convection-diffusion problem providing a sixth-order accuracy both in space and time. The method is based on local polynomial reconstructions dedicated to the convective or the diffusive part of the operator where the Dirichlet boundary condition is explicitly integrated in the polynomial reconstruction. The study focus on the time discretization problem where both explicit and implicit accurate time schemes are considered whereas no operator splitting is performed to easily preserve the sixth-order accuracy in time. Numerical tests are proposed to demonstrate the efficiency of the method.
TypeConference paper
Publisher version
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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