Discrete Scheme Based on Variation Principle for Three Dimensional Diffusion Equation

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2003, Vol. 20 ›› Issue (4): 291-297.

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Discrete Scheme Based on Variation Principle for Three Dimensional Diffusion Equation

CHEN Guang-nan¹, LI De-yuan¹, WAN Zheng-su²

1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Department of Mathematics, Shanghai University, Shanghai 200436, China

Received:2002-03-27 Revised:2002-08-22 Online:2003-07-25 Published:2003-07-25

Abstract

Abstract: Numerical simulation for three dimensional diffusion equation is studied.Using variation principle,the difference discrete scheme with diffusion flux form on the irregular hexahedral grid is constructed.The flux of diffusion as an unknown function is obtained by minimizing the functional and solved with the equation of temperature function simultaneously.Computational formulas are deduced and numerical test is given.

Key words: variation principle, irregular hexahedral grid, three-dimensional diffusion equation, difference scheme

CLC Number:

O241.82

CHEN Guang-nan, LI De-yuan, WAN Zheng-su. Discrete Scheme Based on Variation Principle for Three Dimensional Diffusion Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(4): 291-297.

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Discrete Scheme Based on Variation Principle for Three Dimensional Diffusion Equation

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