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非线性节块展开法是一种快速计算反应堆物理参数的节块方法。与有限差分法相比,它具有速度快、精度高的特点;与另一种节块法—Green函数展开法相比,它又保留了有限差分法的优点:不但可以得到有效倍增因子、功率分布等参数,还可以得到差分方程的系数矩阵,因而十分适合与广义微扰理论(GPT)相结合以获得更快的计算速度,应用于堆芯燃料管理优化中。通过两个二维基准问题的检验计算,比较了非线性节块展开法和Green函数展开法程序的速度与精度,结果表明两个程序基本相当,非线性节块展开法可以满足实际应用的需要。
Nonlinear nodal expansion method is a nodal method that can quickly calculate the physical parameters of a reactor. Compared with the finite-difference method, it has the characteristics of high speed and high precision. Compared with another nodal method-Green’s function expansion method, it retains the advantages of the finite difference method: it not only can obtain effective multiplication factor, power distribution, etc. Parameters, and can also get the coefficient matrix of the difference equation, so it is very suitable for combining with generalized perturbation theory (GPT) to get faster calculation speed, which is applied to the optimization of core fuel management. The test results of two two-dimensional reference problems are compared and the speed and accuracy of the nonlinear nodal expansion method and Green function expansion method are compared. The results show that the two procedures are basically equivalent, and the nonlinear nodal expansion method can meet the practical application needs .