Spatial Adaptivity Applied to the Variational Nodal Pn Equations
Spatial Adaptivity Applied to the Variational Nodal Pn Equations
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DOI：
10.13182/nse02-a2287
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发表时间：
2002-09
影响因子：
1.2
通讯作者：
Hui Zhang;E. Lewis
中科院分区：
文献类型：
--
作者：
Hui Zhang;E. Lewis
本文在变分节块法的框架内，采用球谐函数法，提出了一种求解二维中子输运问题的空间自适应网格方法。这项工作是以前应用于中子扩散方程的方法的推广。在回顾了变分节点响应矩阵推导的相关方面之后，开发了标量通量局部误差的后验估计。一个迭代的自适应程序，然后提出，并应用到二维问题。结果是著名的铁-水基准问题的P5解决方案。
Abstract A spatial adaptive grid method is presented for the solution of two-dimensional neutron transport problems employing the spherical harmonics method within the framework of the variational nodal method. The work represents the generalization of an approach previously applied to the neutron diffusion equation. After reviewing pertinent aspects of the derivation of the variational nodal response matrices, an a posteriori estimator of the local error in the scalar flux is developed. An iterative adaptive procedure is then presented, and application is made to two-dimensional problems. Results are presented for a P5 solution of the well-known Iron-Water Benchmark Problem.