Linear Discontinuous Finite Element Method for Particle Transport Equation

doi:10.3969/j.issn.1001-246X.2009.03.002

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2009, Vol. 26 ›› Issue (3): 325-334.DOI: 10.3969/j.issn.1001-246X.2009.03.002

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Linear Discontinuous Finite Element Method for Particle Transport Equation

HONG Zhenying, YUAN Guangwei

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2007-10-15 Revised:2008-09-11 Online:2009-05-25 Published:2009-05-25

Abstract

Abstract: A linear discontinuous spatial finite element scheme for time-dependent particle transport equation is studied.Numerical precision is considered through error norms.Numerical precision of linear discontinues finite element method on edge of each cell is higher than those of exponential method and diamond difference method.It shows that linear discontinuous finite element method is more accurate and differential curve on time about flux is more smooth than that of exponential method and diamond difference.

Key words: discrete ordinate, linear discontinuous finite element, particle transport equation

CLC Number:

O241.82

HONG Zhenying, YUAN Guangwei. Linear Discontinuous Finite Element Method for Particle Transport Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(3): 325-334.

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Linear Discontinuous Finite Element Method for Particle Transport Equation

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