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介绍一种求解瞬态两群多维中子扩散方程的动力学节块方法。这种方法是基于非线性解析节块方法而建立的,这里主要介绍时间域近似方法以及粗网有限差分方程的数值求解方法。根据所提方法研制了计算程序 NODAN-K, 并使用几种动力学基准问题对该程序进行了检验。数值结果表明这种节块方法具有令人满意的计算精度和计算效率,可以作为多维中子学模型在轻水反应堆瞬态分析中应用。
A kinetic nodal method for solving transient two-dimensional multi-dimensional neutron diffusion equations is presented. This method is based on nonlinear analytical nodal method to establish, here mainly introduces the approximate method of time domain as well as the numerical solution of the coarse-mesh finite difference equation. According to the proposed method, a NODAN-K calculation program was developed, and the program was tested using several kinetic benchmarks. The numerical results show that this nodal method has satisfactory calculation accuracy and computational efficiency and can be used as a multi-dimensional neutron model in the transient analysis of light-water reactors.