变分节块法求解中子扩散方程  

Variational Nodal Method for Solving Neutron Diffusion Equations

作　　者：王永平[1] 吴宏春[1] 李云召[1] 

机构地区：[1]西安交通大学核科学与核技术学院,西安710049

出　　处：《现代应用物理》2014年第3期174-176,181,共4页Modern Applied Physics

基　　金：国家自然科学基金资助项目(11305123);863计划资助项目(2013AA051402);长江学者和创新团队发展计划(IRT1280)

摘　　要：从中子扩散方程出发建立泛函,通过Galerkin变分和Ritz离散推导得到求解中子扩散方程的变分节块法理论模型,开发了适用于三维矩形几何的反应堆堆芯计算程序VIOLET,计算了不带不连续因子的压水堆堆芯计算基准题和带有不连续因子的沸水堆堆芯计算基准题,结果验证了理论模型和计算程序是正确、可靠的。A theoretical model of the variational nodal method was established by using Galerkin variational method and Ritz discretization to solve neutron diffusion equations. Based on this model,a computational code named VIOLET was developed for computation of three-dimensional Cartesian geometry reactor cores.The code was used to calculate a PWR core problem without discontinuity factors and a BWR core problem with discontinuity fac-tors.The results indicate that the code is feasible and reliable.

关 键 词：变分节块法 中子扩散方程 模块化程序开发 压水堆 沸水堆 

分 类 号：TL329[核科学技术—核技术及应用]