三维圆柱几何格林函数节块法  

Nodal Green's function method for 3-D cylindrical geometry

作　　者：杜启新[1] 施工[1] 胡永明[2] 

机构地区：[1]清华大学工程物理系,北京100084 [2]清华大学核能技术设计研究院,北京100084

出　　处：《清华大学学报（自然科学版）》2001年第4期13-16,共4页Journal of Tsinghua University(Science and Technology)

摘　　要：为快速准确地求解三维圆柱几何中子扩散方程 ,研制了第二类边界条件 3- D圆柱几何格林函数节块法。首先通过横向积分将 3- D中子扩散方程化为 3个互相耦合的一维偏通量方程。在 R向 ,其相应的格林函数方程的解由 Bessel函数表示。在 θ向 ,经过近似可将偏通量方程化为平板几何的形式。 3个方向的方程按照平面几何格林函数节块法的思路进行求解。对高温堆模型进行的基准校算表明 :该方法计算本征值和堆芯内通量均具有较高的精度 ,其计算速度也与一般粗网格方法相当 ,因此可成为三维圆柱几何堆芯物理计算的有效方法。The nodal Green's function method for 3 D cylindrical geometry with Neumann boundary condition was developed to correctly and quickly solve the 3 D neutron diffusion equation in a cylindrical geometry. Firstly, the 3 D neutron diffusion equation is converted into three coupled 1 D equations through a transverse averaging procedure as with normal advanced nodal methods. The expression for the corresponding Green's function with the Neumann boundary condition is represented by a Bessel functions in the radial direction. The partial flux equation in the angular direction is approximated in the form of a slab geometry. Then, all of the equations in the three directions are solved in the same way as with the Cartesian geometry. The flux in the cylindrical geometry has been evaluated using this method.

关 键 词：扩散方程 格林函数节块法 圆柱几何 BESSEL函数 轻水堆 堆心燃耗管理 堆芯物理计算 

分 类 号：TL421.027[核科学技术—核技术及应用]