粒子输运方程的线性间断有限元方法  

Linear Discontinuous Finite Element Method for Particle Transport Equation

作　　者：洪振英[1] 袁光伟[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100088

出　　处：《计算物理》2009年第3期325-334,共10页Chinese Journal of Computational Physics

基　　金：国家重点基础研究发展计划(973计划)(2005CB321703);计算物理实验室基金资助项目

摘　　要：将空间线性间断有限元方法应用于动态粒子输运方程的求解.数值算例表明,空间线性间断有限元方法在网格边界的数值精度方面明显高于指数格式和菱形格式,并且通量在时间上的微分曲线相对光滑,避免了指数格式、菱形格式数值解的非物理振荡现象.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.

关 键 词：离散纵标 线性间断有限元 粒子输运方程 

分 类 号：O241.82[理学—计算数学]