两种圆柱几何格林函数节块法的比较

Comparison Between Two Nodal Green's Function Methods for Cylindrical Geometry

用格林函数节块法求解圆柱几何中子扩散方程时 ,可用平板几何格林函数代替复杂的圆柱几何格林函数。本文将基于平板几何格林函数的圆柱几何格林函数节块法 (RNGFM )与基于贝塞尔函数的圆柱几何格林函数节块法 (CNGFM )进行对比分析。分析结果表明 :RNGFM的优点是公式简单 。

The Green's function in Cartesian geometry can be used to replace the complex Green's function in cylindrical geometry when solving the neutron diffusion equation in cylindrical geometry. The nodal Green's function method for cylindrical geometry based on Green's function in Cartesian geometry (RNGFM) and the nodal Green's function method for cylindrical geometry based on Bessel function (CNGFM) are compared. The result indicates that the advantage of RNGFM is the simplicity of formulation, while the iteration process of CNGFM costs less time.