基于非结构网格的中子输运方程计算方法研究  

Study of Numerical Computation Methods for Neutron Transport Equation Based on Unstructured-Meshes

作　　者：吴宏春[1] 巨海涛[1] 卢皓亮[1] 刘国明[1] 曹良志[1] 

机构地区：[1]西安交通大学能源与动力工程学院,西安710049

出　　处：《西安交通大学学报》2007年第5期562-566,共5页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金(10475064)

摘　　要：针对非结构网格下中子输运方程的求解方法问题,分别研究了球谐函数(P_n)有限元方法、离散纵标(S_n)有限元方法、三角形穿透概率方法和三角形节块S_n方法的计算模型．结果表明:有限元方法具有比较高的计算精度;P_n方法避免了S_n方法中的“射线效应”现象,而S_n有限元方法则具有容易处理真空边界条件的优点;三角形穿透概率方法的计算时间最快;三角形节块S_n方法则可以保证在计算较快的情况下同时具有较高的计算精度．根据上述4种方法分别研制了相应的计算程序,利用基准题进行了验证并分析了各自的优缺点,计算结果表明每种方法均能得到满意的计算精度．For the numerical solutions of the neutron transport equation based on unstructured-mshes, four types of new methods were developed including the spherical harmonics （Pn） finite element method, the discrete ordinates （Sn） finite element method, the triangle transmission probability method, and the triangle nodal method. The precision of the finite element methods is the highest. The Pn method avoids the ray effect in the Sn method. The Sn method can treat void boundary condition easily. The CPU time of the transmission probability method based on triangle meshes is the least. The nodal Sn method has less CPU time and better precision. The numerical computation was conducted with the present four new methods for some benchmark problems. The results show that the precision of the four new methods is high.

关 键 词：中子输运 非结构网格 计算方法 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]