中子慢化积分方程的数值解

计算物理 ›› 1985, Vol. 2 ›› Issue (1): 76-82.

中子慢化积分方程的数值解

胡理清, 陈文韬

北京核工程研究设计院

收稿日期:1984-06-21 修回日期:1984-09-17 出版日期:1985-03-25 发布日期:1985-03-25

THE NUMARICAL SOLUTON OF NEUTRON MODERATING LNTEGRAL EQUATION

Hu Li-qing, Chen Wen-tao

Bijing Institute of Nuclear Engineering

Received:1984-06-21 Revised:1984-09-17 Online:1985-03-25 Published:1985-03-25

摘要/Abstract

摘要： 本文对同心环几何条件,用Lobatto求积公式近似求解了中子慢化积分方程,得到了比较精确的超热能谱,并由此算出了共振积分。用逐步递推方法计算慢化源,用予制的P_ij表内插求首次碰撞几率,大量节省了机器时间。同时,本文用多能级公式计算²³⁵U、²³⁹Pu核的共振截面,从而使共振峰间的重叠和干涉也得到了考虑。用文献提供的模型做了校核计算,取得比较满意的结果。

Abstract: For multi-region co-centre cylinder cell the numaricll solution of neutron moderating integral equation is a approximate solution using Lobatto quatrature formula. It can get more accurate epithermal energy spectrum, therefore resonance integral, group cross-section and self-shielding factor of resonance as well.Using the method of step by step recurrece to calculate moderating souece and the premade table of P_ij to interpolate collision probability, a great deal of computing time could be saved. In this paper resonance cross-section for ²³⁵U, ²³⁹Pu were calculated using multi-level formula so as to consider interference and overlap ping effect between resonances.A check calculation has been made based on the model provided by Ref.^[7]and the both results agree well eath other.

胡理清, 陈文韬. 中子慢化积分方程的数值解[J]. 计算物理, 1985, 2(1): 76-82.

Hu Li-qing, Chen Wen-tao. THE NUMARICAL SOLUTON OF NEUTRON MODERATING LNTEGRAL EQUATION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 2(1): 76-82.