计算物理 ›› 1984, Vol. 1 ›› Issue (2): 152-163.

• 论文 • 上一篇    下一篇

用SIP和SSIP方法求解三维反应堆中子扩散方程

杨应辉   

  1. 原子能研究所
  • 收稿日期:1984-02-27 出版日期:1984-12-25 发布日期:1984-12-25

SOLUTION OF REACTOR NEUTRON DIFFUSION EQUATION IN THREE-DIMENSIONAL REGION USING IHE SIP AND SSIP

YANG YING-HUI   

  1. Institute of Atomic Energy
  • Received:1984-02-27 Online:1984-12-25 Published:1984-12-25

摘要: 本文首先简要介绍三维区域中的中子扩散方程及其差分方程的建立及求解的内、外迭代过程。然后导出内迭代过程中求解差分方程的SIP和SSIP公式,以及内、外迭代的加速方法和迭代参数的选取。最后给出一些数值结果。

Abstract: In this paper, fist'we discribe briely neutron diffusion equation in three-dimensional segion, establishment of its finite difference equation and inner and outer iteration procedures. Then we derive in detail the SIP (Strongly Implicit Procedure) and SSIP (Symmetrical SIP) for solving finite difference equation in inner iteration procedure, accelerated method for inner and outer iteration and selection of iteration parameters. Finally, some results of nummerical experiment are presented.