求解中子时空动力学方程的动态反应性法

The Kinetic Reactivity Method for Solving the Spatial-Time Neutron Kinetic Equations

本文提出以“动态反应性”代替传统的“静态反应性”的求解中子时空动力学方程的因子分解法，是一个经济、实用、误差较小的方法．在本法中，缓发中子先驱核浓度也分解成相应的辐度因子与形状因子、这对于求解中子通量形状函数方程、保证归一化条件、减小误差、节省运算时间较为有利．计算结果表明：在工程误差范围内，本法与直接解法相比要节省许多工作量，其计算速度要快几倍甚至几十倍．

The factorization method presented in this paper, in which the 'Kinetic Reactivity'is.introduced to replace the traditional 'Static Reactivity' used for solving the Spatial-Time Neutron Kinetic Equations, is an economical and pratical method with less error. In this method,the delayed neutron precusor densities are factorized into their corresponding amplitude factorsand shape factors as well. It would be advantageneous for solving the neutron flux shape function equations, fitting the normalization conditions, decreasing the calculating error and savingthe computing time. The calculating results indicate that in comparison with the direct numerical mehtod, the computing ammont and computing time can be reduced several times, evenseveral ten times by use of this method within the engineering error range.