中子扩散三维非均匀变分节块法及平源加速方法研究  

Study on Three-Dimensional Neutron Diffusion Heterogeneous Variational Nodal Method and Flat Source Acceleration Method

作　　者：张滕飞 吴宏春[2] 曹良志[2] 李云召[2] 熊进标[1] 刘晓晶[1] Zhang Tengfei;Wu Hongchun;Cao Liangzhi;Li Yunzhao;Xiong Jinbiao;Liu Xiaojing(School of Nuclear Science and Engineering, Shanghai Jiaotong University, Shanghai, 200240, China;School of Nuclear Science and Technology, Xi＇an liaotong University, Xi＇an, 710049, China)

机构地区：[1]上海交通大学核科学与工程学院,上海200240 [2]西安交通大学核科学与技术学院,西安710049

出　　处：《核动力工程》2018年第2期86-89,共4页Nuclear Power Engineering

摘　　要：作为三维全堆芯非均匀输运计算的基础,基于扩散近似提出了三维非均匀变分节块法,能够采用节块内部的等参有限元和节块轴向表面的分片常量精细描述燃料棒的非均匀几何结构,消除均匀化过程。同时,为了降低计算代价,相应地提出了平源加速方法(FS)。数值结果表明,该方法具有可靠的精度,且FS能够在不影响精度的前提下有效地降低计算内存和计算时间。As a foundation of three-dimensional whole-core heterogeneous transport calculation, a 3D heterogeneous variational nodal method is proposed, which employs iso-parametric finite elements within each node and piecewise constants along nodal interfaces to explicitly describe the pin-resolved heterogeneous geometry. This means full elimination of the homogenization approximation. Meanwhile, the fiat source acceleration method is proposed accordingly to reduce the computational costs. Numerical results show that the method is accurate and the fiat source region acceleration method can effectively decrease the memory storage and computational time without degrading the accuracy.

关 键 词：中子扩散三维非均匀变分节块法 平源加速方法(FS) 等参有限元 分片常量 

分 类 号：TL325[核科学技术—核技术及应用]