R-Z几何离散纵坐标程序的开发及验证

摘要

基于离散纵坐标方法,开发了R-Z几何下、可考虑高阶各向异性散射的稳态和瞬态中子输运计算程序PINE.在求解中子时空-动力学方程时,采用全隐向后差分格式离散时间导数项,并通过重新定义截面使它与稳态方程具有相同的形式,从而可采用与稳态计算相同的程序模块.通过多个基准问题的验证表明,所开发的PINE程序具有较高的计算精度.%Based on discrete ordinates method,the steady and transient neutron transport calculation program with higher order anisotropic scattering for R-Z geometry was developed.Implicit backward difference scheme was applied to discrete time derivative of spatial-time neutron kinetics equations.Redefine the section to transform formula to the form of the steady-state equations,so the spatial-time neutron kinetics equations can be solved with the steady-state calculation module.The numerical results of many benchmark problems demonstrate that the program PINE can give high precision results.