高阶有限元方法在中子扩散方程中的应用  

Application of High Order Finite Element Method in Neutron Diffusion Equation

作　　者：蔡云[1,2] 李庆[2] 王侃[1] 

机构地区：[1]清华大学工程物理系,北京100084 [2]中国核动力研究设计院核反应堆系统设计技术重点实验室,四川成都610213

出　　处：《原子能科学技术》2016年第1期118-125,共8页Atomic Energy Science and Technology

摘　　要：应用高阶有限元方法求解中子扩散方程第1本征对和高阶本征对,比较了低阶和高阶有限元方法的性能差异以及LGL(Legendre-Gauss-Lobatto)节点和均匀网格节点之间的差异。通过二维BIBLIS和二维IAEA两个基准题,验证了该算法能求解高阶本征对。结果表明,采用LGL节点较均匀节点的高阶有限元方法求解速度更快。The high order FEM（finite element method）was utilized to get the first order eigen-pair and high order eigen-pairs.The performances of the low order FEM and high order FEM were compared and the differences between the uniform nodes and LGL（Legendre-Gauss-Lobatto）nodes were elaborated.The high order FEM was verified to be able to solve the high order eigen-pair accurately in the 2D BIBLIS and 2DIAEA benchmarks.The results show that the high order FEM with the LGL nodes performs faster than the high order FEM with uniform nodes.

关 键 词：高阶有限元方法 高阶本征向量 Legendre-Gauss-Lobatto节点 

分 类 号：TL329[核科学技术—核技术及应用]