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|Title:||A new very high-order finite volume method for the 2D convection diffusion problem on unstructured meshes|
Machado, Gaspar J.
Pereira, Rui M. S.
|Keywords:||Finite volume scheme|
|Publisher:||Laboratório 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.|
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