摘要
以多群中子扩散方程解析解为基础 ,利用方程及求解域的对称性建立了一个新的数值求解多群扩散方程的理论模型 ,并将该模型应用于三维六角形几何。和普通节块法相比 ,该方法可避免因几何引起的奇异性问题 ,且所得的解在求解域内任意点上都满足扩散方程。
A new nodal method based on both symmetries of the problem and an analytic representation of the nodal flux distribution is presented.The proposed method eliminates the singular problem that arises in the application of conventional nodal method in the hexagonal geometry and the solution derived in the method satisfies the neutron diffusion equation at any point of the node.The only approximations employed in deriving the method are the treatment of unknown functions.Furthermore,by introducing a new type of boundary condition that simultaneously requires the continuity of both zero and first order partial current moment in the radial nodal coupling,the radial nodal solution has been noticeably improved.The results of 3D WWER benchmark problems demonstrate that it is an advanced method for the solution of multigroup diffusion equation in hexagonal geometry.
出处
《核科学与工程》
CAS
CSCD
北大核心
2000年第3期266-273,共8页
Nuclear Science and Engineering