三维圆柱几何格林函数节块法  

A NODAL GREEN'S FUNCTION METHOD OF CYLINDRICAL GEOMETRY

作　　者：胡永明[1] 赵险峰[1] 

机构地区：[1]清华大学核能技术设计研究院

出　　处：《核科学与工程》1998年第3期235-243,共9页Nuclear Science and Engineering

摘　　要：发展了中子扩散计算三维圆柱几何格林函数节块法。通过横向积分将中子扩散方程化为３个互相耦合的一维偏通量方程。对于径向偏通量方程，将径向扩散微分算符分解为平板几何的扩散微分算符和１个附加项之和，将附加项移到方程右端作为１个附加源项，这样，３个方程都化为平板几何一维方程的形式。再借助平板几何第二类边界条件格林函数，建立偏通量积分方程。方程推导中，对圆柱形曲面几何的线积分和横向积分均需对相应的广义线元作积分，对于修正源项，通过分部积分方法将偏通量导数项转化为对格林函数的求导，通过源迭代法求解方程。基准计算表明，该计算精度高、速度快、成为三维圆柱几何堆芯计算的有效方法。A nodal Green's function method of cylindrical geometry for multidimensional neutron diffusion calculation is developed. Firstly,the neutron diffusion equation is converted to three coupled 1 D partial flux equations through transverse integration. For the radial partial flux equation, the differential term is decomposed into a diffusion term plus additional term, wich is moved into right side as a source term. Therefore, these three equations take the same form as those of slab geometry. Secondly, by way of the second kind boundary condition Green's function of slab geometry, the three equations are integrated by using generalized line elements to obtain the integral equations. For the additional source term, it can be converted to Green's function's differentiation term through partial integration. At last, the equations are solved by source iteration method. Through benchmark computation, this method shows high speed and high accuracy. It is a effective method for 3 D cylindrical geometry reactor calculation.

关 键 词：格林函数法 节块法 圆柱几何 中子扩散 堆芯 

分 类 号：TL325[核科学技术—核技术及应用] TL351.1