摘要
提出了一种在二维三角形几何内数值求解中子扩散方程的节块方法。节块内的各群通量分布用解析基函数近似展开,节块之间采用面偏流零次矩和一次矩进行耦合;给出了三角形几何下的节块扫描方案;采用响应矩阵技术进行迭代求解,开发了二维三角形组件中子扩散计算程序ABFEM-T。通过基准问题的校验计算,表明该方法能准确地给出有效增值系数及节块功率分布,可用于复杂的非结构几何区域的中子扩散问题的求解。
A new nodal method for directly solving the two-group neutron diffusion equation in the triangular geometry was proposed. The neutron flux distributions within a node were expanded in a series of analytic basis functions for each group. Nodes were coupled each other with both the zero-and fin'st-order partial neutron current moments simultaneously. With a new sweeping scheme developed for triangular geometry, the response matrix technique was used to solve the nodal diffusion equations iteratively. Based on the proposed model, the code ABFEM-T was developed. The numerical results for a series of benchmark problems show that the core multiplication factor and nodal powers are predicted accurately using this model for unstructured neutron diffusion problems.
出处
《核动力工程》
EI
CAS
CSCD
北大核心
2007年第5期5-9,共5页
Nuclear Power Engineering
基金
国家自然科学基金(10475064)
国家自然科学基金(10605017)
核反应堆系统设计技术国家级重点实验室基金(SYX-01-05-09)资助
关键词
三角形几何
中子扩散方程
节块方法
解析基函数
坐标变换
Triangular geometry, Neutron diffusion equation, Nodal method, Analytic basis function, Coordinate transformation