A new very high-order finite volume method for the 2D convection diffusion problem on unstructured meshes

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 reconst...

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Bibliographic Details
Main Author: Clain, Stéphane (author)
Other Authors: Machado, Gaspar J. (author), Pereira, Rui M. S. (author)
Format: conferencePaper
Language:eng
Published: 2012
Subjects:
Finite volume scheme
Polynomial reconstruction;
High-order scheme
Convection diffusion
Online Access:http://hdl.handle.net/1822/19890
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/19890
Description
Summary: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.

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