粒子输运方程的确定论计算方法  

Deterministic Numerical Methods for Particle Transport Equations

作　　者：杭旭盈 洪振英[1] 李双贵[1] 袁光伟[1] 

机构地区：[1]北京应用物理与计算数学研究所,计算物理实验室,北京100088

出　　处：《计算物理》2014年第2期127-154,共28页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(11171036,11001023,11201034);国防基础科研项目(B1520110011)资助

摘　　要：针对实际应用中辐射和中子输运数值模拟,讨论球一维和柱二维几何粒子输运方程确定论计算方法的研究现状,包括离散纵标、球谐函数、迭代加速、并行计算等方法.重点讨论输运计算方法所取得的若干研究进展,包括离散纵标求积组、自适应时间离散格式、本征值迭代求解方法、简化球谐函数方法、修正的子网格隅角平衡方法、灰体综合加速方法、迭代初值选取方法、输运与扩散耦合方法、基于预估校正的并行格式等.简要介绍了相关输运计算程序的研制情况,并分析输运计算方法存在的难点,提出待开展研究的内容.We discuss deterministic numerical methods such as discrete ordinates methods, spherical harmonic dimensional and iteration acceleration method, for particle （ neutron and radiation） transport equations in one-dimensional spheric geometry and two- dimesional cylindrical geometry. Recent advances on numerical methods of transport problems are briefly described, including adaptive time step discrete scheme, iterative methods for eigenvalue problems, modified subcell balance methods, simplified spherical harmonic methods, simulation methods for coupling of diffusion and transport, parallel discrete scheme with interface prediction and correction, grey transport synthetic acceleration method, etc. Based on the analysis of difficulties in numerical methods for transport equations, suggestions for future work are proposed.

关 键 词：粒子输运方程 计算方法 离散纵标 球谐函数方法 

分 类 号：O241[理学—计算数学] O53[理学—数学]