基于非结构网格的三维中子输运方程求解方法  

Solution Method for 3DNeutron Transport Equation Based on Unstructured Meshes

作　　者：高产[1,2] 

机构地区：[1]中国工程物理研究院核物理与化学研究所,四川绵阳621900 [2]中国工程物理研究院研究生部,北京100088

出　　处：《原子能科学技术》2014年第10期1830-1835,共6页Atomic Energy Science and Technology

基　　金：中国工程物理研究院核物理与化学研究所创新基金资助项目(2011QP01);中国工程物理研究院高性能软件中心资助项目

摘　　要：本文使用离散纵标-间断有限元方法求解了三维中子输运方程,它对能量变量采用多群近似离散,对方向变量采用离散纵标法离散,对空间变量采用间断有限元离散;并研究了每个SN离散方向的有限元网格的排序以及中子输运DFEM方程中几个矩阵的矩阵元的精确求解方法,并据此开发了基于非结构网格的三维输运计算程序TetTran1.0。基准例题校核结果表明,该程序具有很高的计算精度。The discrete ordinates-discontinuous finite element method for 3D neutron transport equation was presented . Energy variables were dispersed by multi-group approximation ,direction variables by discrete ordinates method ,and space variables by discontinuous finite element method （DFEM ） . T he solution order of finite element meshes for each discrete direction and the solution method of several matrixes for DFEM equation were investigated .Hence ,the 3D neutron transport code TetTran1.0 based on unstructured meshes was developed .The numerical results of some benchmarks show that the code has high computational accuracy .

关 键 词：输运方程 间断有限元 求解排序 

分 类 号：TL329.2[核科学技术—核技术及应用]