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Very high-order finite volume scheme for 1D convection diffusion problem: the implicit case

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Detalhes bibliográficos
Resumo:We present a fourth-order in space, second-order in time finite volume scheme for transient convection diffusion problem based on the Polynomial Reconstruction Operator and a Crank-Nicholson method. A detailed description of the scheme is provided and we perform numerical tests to highlight the performance of the method in comparison with the classical Patankar method.
Autores principais:Machado, Gaspar J.
Outros Autores:Clain, Stéphane; Pereira, Rui M. S.
Assunto:Finite volume Convection diffusion Polynomial Reconstruction Operator (PRO) High-order Three-dimensional preliminary
Ano:2012
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso restrito
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
Resumo:We present a fourth-order in space, second-order in time finite volume scheme for transient convection diffusion problem based on the Polynomial Reconstruction Operator and a Crank-Nicholson method. A detailed description of the scheme is provided and we perform numerical tests to highlight the performance of the method in comparison with the classical Patankar method.