基于预估修正改进准静态方法的中子时空动力学研究

摘要

An improved quasi-static method based on the theory of predictor-corrector was adopted to solve the problem of neutron space-time kinetics. Shape function was generated from the predictor neutron fluence rate which was obtained through implicit difference method. The iterative computation of shape function would be avoided. The predicted neutron fluence rate would be corrected according to the amplitude function and then the final distribution of neutron fluence rate could be obtained. The results show that its computing speed is much faster than that of ordinary improved quasi-static method if the time interval is long enough, and the precision of results is high enough.%研究了一种基于预估修正思想的改进准静态方法,用于求解中子时空动力学方程.通过隐式差分法预估下一时刻中子注量率以产生形状函数,避免了传统的改进准静态方法中形状函数的迭代计算,并依靠幅函数修正中子注量率,得到最终中子注量率的分布.计算表明,在较大时间步下,该方法计算速度较传统的改进准静态方法有明显的提高,且能保持较高的计算精度.