反应堆组件参数计算程序中燃耗方程数值解法研究

Research on Numerical Solution of Burnup Equation in Reactor Lattice Spectrum Calculation Code

摘要: 本文介绍了组件参数计算程序中燃耗计算理论模型，给出了求解燃耗方程的两种数值方法，编制了相应的计算程序，并将其计算结果与解析解的计算结果进行了对比分析，验证了两种数值方法的有效性。对两种数值方法的计算效率进行了比较，结果表明：两种数值方法均能取得较高的计算精度，但在计算速度及对初始时间步长取值的限制方面，Rosenbrock方法明显优于龙格库塔方法。

Abstract: A burnup calculation model of the lattice spectrum calculation code was introduced and two numerical solution methods for the burnup equation were given. The result of the code developed based on these two methods was compared with the result of analytical solution, and the effectiveness of these two numerical solution methods was verified. The efficiency of two numerical solution methods was also compared with each other. The Rosenbrock method shows greater advantages than the Runge-Kutta method on efficiency and precision.