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

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 perf...

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Bibliographic Details
Main Author: Machado, Gaspar J. (author)
Other Authors: Clain, Stéphane (author), Pereira, Rui M. S. (author)
Format: conferencePaper
Language:eng
Published: 2012
Subjects:
Finite volume
Convection diffusion
Polynomial Reconstruction Operator (PRO)
High-order
Three-dimensional preliminary
Online Access:http://hdl.handle.net/1822/19967
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/19967
Description
Summary: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.

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