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应用精细时程积分法求解点堆中子动力学方程组
引用本文:章喜喜,何彬,付广智.应用精细时程积分法求解点堆中子动力学方程组[J].核动力工程,2007,28(1):5-8.
作者姓名:章喜喜  何彬  付广智
作者单位:第二炮兵工程学院,西安,710025
摘    要:精细时程积分法是一种绝对稳定的显式积分方法.本文提出了用精细时程积分法求解点堆中子动力学方程组,给出了计算实例.结果表明,在大的时间步长条件下,精细时程积分法能很好地解决了点堆中子动力学方程组的刚性问题,同时具有计算过程简洁、速度快和精度高的特点,可用于反应堆的安全分析和仿真计算.

关 键 词:中子动力学  刚性常微分方程  数值积分
文章编号:0258-0926(2007)01-0005-04
修稿时间:2006-03-01

Solution of Point Reactor Neutron Kinetics Equation Using Precise Time Integration Algorithm
ZHANG Xi-xi,HE Bin,FU Guang-zhi.Solution of Point Reactor Neutron Kinetics Equation Using Precise Time Integration Algorithm[J].Nuclear Power Engineering,2007,28(1):5-8.
Authors:ZHANG Xi-xi  HE Bin  FU Guang-zhi
Abstract:The precise time integration algorithm is an explicit numerical integration algorithm with absolute stability,which was applied to solve the point reactor neutron kinetics equation in this paper,with the numerical examples provided.The results indicated that the precise time integration algorithm could solve the stiff problem of the point reactor neutron kinetics equation commendably in long time-step condition with additional traits such as compact computing process,fast velocity and high precision,which verifies the practicability and the availability of the method in the safety and simulation analysis of the reactor.
Keywords:Neutron kinetics  Stiff ordinary differential equation  Numerical integration
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