基于非结构网格的三维中子输运方程求解方法

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 .