Finite Volume Scheme for Diffusion Equation with Vertex Reconstruction

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2012, Vol. 29 ›› Issue (1): 1-9.

Finite Volume Scheme for Diffusion Equation with Vertex Reconstruction

ZHAO Qiang¹, YUAN Guangwei², DONG Zhiwei¹

1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
2. Laboratory of Computational Physics, Beijing 100088, China

Received:2011-02-16 Revised:2011-06-07 Online:2012-01-25 Published:2012-01-25

Abstract

Abstract: Nine.point scheme for diffusion equation on distorted quadrilateral is discussed.Based on a classical nine。point scheme, and with continuity of diffusion flux, a formula for designed for computing Vertex unknowns. Numerical experiments show that the scheme is robust,and the accuracy is higher than that of other weighted methods for diffusion problem with continuous or discontinuous coefficient on distorted meshes.

Key words: vertex reconstruction, diffusion equation, finite volume scheme

CLC Number:

ZHAO Qiang, YUAN Guangwei, DONG Zhiwei. Finite Volume Scheme for Diffusion Equation with Vertex Reconstruction[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(1): 1-9.

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Finite Volume Scheme for Diffusion Equation with Vertex Reconstruction

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