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离散节块输运方法在二维柱坐标系中的应用
引用本文:祝学华,谢仲生,吴宏春.离散节块输运方法在二维柱坐标系中的应用[J].核科学与工程,1994(1).
作者姓名:祝学华  谢仲生  吴宏春
作者单位:西安交通大学 (祝学华,谢仲生),西安交通大学(吴宏春)
基金项目:国家自然科学基金资助项目
摘    要:讨论粗网离散节块法在二维柱坐标系内中子输运方程数值求解中的应用.给出方法的数学模型,在节块内中子通量采用二次近似,表面泄漏采用常数近似.根据所提出的理论模型,编制了考虑各向异性散射的二维节块输运程序DNSN/2D,并对一系列检验和基准问题作了计算.计算结果表明,与传统S_N方法相比,它具有很高的计算效率,在很粗的节块分割下具有非常高的精度.

关 键 词:中子输运方程  柱坐标系  离散方法  节块方法

A DISCRETE NODAL METHOD FOR TWO - DIMENSIONAL NEUTRON TRANSPORT NUMERICAL CALCULATION IN CYLINDRICAL GEOMETRY
ZHU XUEHUA XIE ZHONGSHENG WU HONGCHUN.A DISCRETE NODAL METHOD FOR TWO - DIMENSIONAL NEUTRON TRANSPORT NUMERICAL CALCULATION IN CYLINDRICAL GEOMETRY[J].Chinese Journal of Nuclear Science and Engineering,1994(1).
Authors:ZHU XUEHUA XIE ZHONGSHENG WU HONGCHUN
Affiliation:Xi'an Jiaotong University
Abstract:A discrete nodal transport method has been developed for efficient numerical solution of 2 - D neutron transport equation in cylindrical geometry r, z ] and it has been encoded in 2 - D nodal transport code DNSN/2D with anisotropic scattering. The mathematical model of the method is presented. The quadratic legendre polynomial expansion for node- interior flux and constant surface flux approximation are used. The calculation for a series of test problems has been performed to verify to code. The numerical results demonstrate that it has very high precision on coarse spatial meshes and superior computational efficiency over the discrete SN method.
Keywords:neutron transport equation cylindrical ordinate discrete method nodal method
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