基于三角形网格的穿透概率方法研究

Study of Transmission Probability Method Based on Triangle Meshes

研究了基于三角形网格的中子输运方程穿透概率方法。网格子区内部中子源采用平源分布,子区界面中子角注量密度空间分布设为均匀,角度分布采用简化4P1近似,并采用一种按照非结构网格编码顺序进行网格扫描的新方法。编制了适应于二维任意形状几何中子输运特征值问题求解的程序TPTRI,对一些二维输运基准问题作了计算。与MG-MCNP3B、SURCU、TEPFEM等程序结果进行了比较分析,结果吻合很好。

Transmission Probability Method based on triangle meshes is studied in this paper. The interior source is assumed to be isotropic in angular distribution and constant in spatial distribution. The surface angular flux is assumed to be with simplified 4P1 approximation in angle and average in space. A new grid sweep process based on unstructured-mesh coding number is adopted. TPTRI program is encoded which can be applied to the solution of neutron transport of arbitrary two-dimensional geometry. Several benchmark problems are calculated and the results are compared with MG - MCNP3B, SURCU and TEPFEM programs. The numerical analyses show that the results of TPTRI are in good agreements with that from other programs.