点堆中子动力学方程的指数基函数法求解

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基金项目:

国家自然科学基金资助项目（10575131）

Exponential Function Method for Solving Point Reactor Neutron Kinetics Equations

College of Power and Shipping, Naval University of Engineering, Wuhan, 430033, China

摘要: 给出了一个求解点堆中子动力学方程组的指数基函数法。该方法通过将点堆中子动力学方程组变成矩阵形式,利用指数函数为基函数的特点将其显式化,并根据初始条件求得各项系数,进而获得方程组的解。对阶跃、线性和正弦等不同反应性输入进行了计算。结果表明,指数基函数法过程简捷明了、易于编程,是一种计算速度较快、精度较高、适用性较强的求解点堆中子动力学方程的方法。
- 点堆中子动力学 /
- 刚性 /
- 指数函数 /
- 数值计算
Abstract: An exponential function method for solving the point reactor neutron kinetics equations is presented. The reactor kinetics equations are reduced to a differential equation in matrix form, which is con- venient to express explicitly by using exponential functions as basis function. The coefficients of the series have been obtained according to initial conditions. The method is applied to the step reactivity insertion, ramp reactivity insertion and oscillatory reactivity insertion respectively,and the results show that the exponential function method is efficient and accurate to several significant figures.
- Point reactor neutron kinetics /
- Stiffness /
- Exponential function /
- Numerical calculation