The DIF3D Nodal Neutronics Option for Two- and Three-dimensional Diffusion Theory Calculations in Hexagonal Geometry
The DIF3D Nodal Neutronics Option for Two- and Three-dimensional Diffusion Theory Calculations in Hexagonal Geometry
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用于六边形几何中二维和三维扩散理论计算的 DIF3D 节点中子学选项
DOI：
10.2172/6318594
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
R. D. Lawrence
中科院分区：
文献类型：
--
作者：
R. D. Lawrence
本文发展了一种求解二维和三维六角形几何中中子扩散方程的节块法。节点方案已被纳入作为一个选项，在有限差分扩散理论代码DIF 3D，并打算用于分析目前的LMFBR设计。节点方程推导出使用高阶多项式近似的空间依赖性内的六边形-Z节点的通量。最后的方程，这是铸造的非齐次响应矩阵方程的形式为每个能量组，涉及的空间时刻的节点内部通量分布加上表面平均分电流的面的节点。这些方程求解使用常规的裂变源迭代加速粗网格再平衡和渐近源外推。本报告介绍了节点方程的数学发展和数值解，以及节点选项的使用和有关其编程结构的细节。后一信息旨在补充DIF 3D代码的单独文档中提供的信息。
A nodal method is developed for the solution of the neutron-diffusion equation in two- and three-dimensional hexagonal geometries. The nodal scheme has been incorporated as an option in the finite-difference diffusion-theory code DIF3D, and is intended for use in the analysis of current LMFBR designs. The nodal equations are derived using higher-order polynomial approximations to the spatial dependence of the flux within the hexagonal-z node. The final equations, which are cast in the form of inhomogeneous response-matrix equations for each energy group, involved spatial moments of the node-interior flux distribution plus surface-averaged partial currents across the faces of the node. These equations are solved using a conventional fission-source iteration accelerated by coarse-mesh rebalance and asymptotic source extrapolation. This report describes the mathematical development and numerical solution of the nodal equations, as well as the use of the nodal option and details concerning its programming structure. This latter information is intended to supplement the information provided in the separate documentation of the DIF3D code.