六组点堆中子动力学方程组的同伦分析解  

Homotopy analysis solution of point reactor kinetics equations with six-group delayed neutrons

作　　者：朱倩[1] 商学利[1] 陈文振[1] 

机构地区：[1]海军工程大学核能科学与工程系,武汉430033

出　　处：《物理学报》2012年第7期1-5,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10575131);海军工程大学自然科学基金资助的课题~~

摘　　要：鉴于目前六组点堆中子动力学方程仍然无法获得解析解,本文尝试将同伦分析方法应用于六组缓发中子动力方程组的求解,获得了它的级数解析解,并对级数解析解算法的有效性进行了检验.结果表明,该级数解析解算法从计算时间和精度上都能达到工程应用的要求,可适宜于反应堆中子动力学控制的设计分析和仿真计算.Homotopy analysis method is a new method to form approximate analytical solution for non-linear system by using various base functions,which is different from traditional analytical methods.So far,the analytical solution of the point reactor neutron kinetics equations with six-group delayed neutrons has not been obtained yet.In this paper the homotopy analysis method is employed for solving the point reactor neutron kinetics equations with six-group delayed neutrons.The series analysis solutions are obtained using the homotopy analysis method,and the relevant algorithm is given and analyzed.The results show that the computation time and accuracy satisfy the engineering requirements.This analysis method can be applied to the design,the analysis and the simulation of reactor control.

关 键 词：同伦分析法 中子动力学 点堆方程 六组缓发中子 

分 类 号：O571.5[理学—粒子物理与原子核物理]