| 粒子输运方程的线性间断有限元方法 |
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| 引用本文： | 洪振英,袁光伟. 粒子输运方程的线性间断有限元方法[J]. 计算物理, 2009, 26(3): 325-334. DOI: 10.3969/j.issn.1001-246X.2009.03.002 |
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| 作者姓名： | 洪振英 袁光伟 |
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| 作者单位： | 北京应用物理与计算数学研究所,北京,100088;北京应用物理与计算数学研究所,北京,100088 |
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| 基金项目： | 国家重点基础研究发展规划(973计划)，计算物理实验室基金 |
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| 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.
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| 关 键 词： | 离散纵标 线性间断有限元 粒子输运方程 |
| 收稿时间： | 2007-10-15 |
| 修稿时间： | 2008-09-11 |
Linear Discontinuous Finite Element Method for Particle Transport Equation |
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| HONG Zhenying,YUAN Guangwei. Linear Discontinuous Finite Element Method for Particle Transport Equation[J]. Chinese Journal of Computational Physics, 2009, 26(3): 325-334. DOI: 10.3969/j.issn.1001-246X.2009.03.002 |
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| Authors: | HONG Zhenying YUAN Guangwei |
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| Affiliation: | Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| 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. |
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| Keywords: | discrete ordinate linear discontinuous finite element particle transport equation |
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