基于Dirichlet边界条件的Green函数节块法  

Nodal Green's function method for the Dirichlet boundary condition

作　　者：王登营[1] 李富[1] 胡永明[1] 周旭华[1] 郭炯[1] 

机构地区：[1]清华大学核能与新能源技术研究院,北京100084

出　　处：《清华大学学报（自然科学版）》2010年第6期905-908,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(10675071)

摘　　要：基于不同边界条件(第一类、第二类、第三类)的Green函数,均可推导出求解中子扩散方程的Green函数节块法。为了完善Green函数节块法的形式,该文推导并实现了第一类边界条件的Green函数节块法。分析表明:这3类Green函数节块法在数学上是等价的,差别仅在于节块间的耦合方程不同,它们分别以交界面中子注量率、净中子流和分中子流为中间变量。然后应用第一、第二和第三类Green函数节块法程序验算了压水堆问题,结果表明,这三类程序的计算精度相同,计算速度基本一致。Green＇s function has different forms for the first,second and third types of boundary conditions;thus,different types of nodal Green＇s function methods（NGFM） are used to solve the neutron diffusion equations.A reduced method was developed for the Dirichlet（or first type） boundary condition that includes all the NGFMs in all their forms.The analysis shows that all the NGFMs for all the boundary conditions are equivalent from a mathematical viewpoint.The only difference is that the variables in the nodal coupling equation are classified as neutron flux,net current or partial current at the surface.These NGFMs were used to predict the neutron flux in a pressurized water reactor core for the first,second and third types of boundary condition.The results show that all three NGFM codes produce the same high accuracy with almost the same calculational time.

关 键 词：中子扩散方程 节块法 GREEN函数 DIRICHLET边界条件 

分 类 号：TL329.2[核科学技术—核技术及应用]