离散化
中子输运
多边形网格
有限元法
间断伽辽金法
伽辽金法
应用数学
特征向量
基础(线性代数)
数学
计算机科学
数学优化
数学分析
几何学
中子
物理
量子力学
热力学
作者
Dai Taguchi,Longfei Xu,Baiwen Li,Huayun Shen,Xueming Shi
标识
DOI:10.1080/00295639.2023.2273569
摘要
AbstractThe deterministic methods are efficient for solving the neutron transport equation (NTE), but suffer from discretization errors. The increasingly complex geometric models make spatial discretization errors the primary source of discretization errors. Considering that spatial discretization errors come from inaccurate geometric shape descriptions and low-accuracy numerical schemes, this paper develops a Discontinuous Galerkin Finite Element Method for the NTE on unstructured polygonal meshes to reduce spatial discretization errors. In this method, the physical modal basis is adopted to handle the polygonal mesh and to achieve high-order accuracy in a uniform and efficient way. The numerical results of various fixed-source and k-eigenvalue benchmarks demonstrate that the method developed in this paper can give accurate solutions on polygonal meshes with high convergence rates.Keywords: Neutron transport equationfinite element methodunstructured meshdiscrete ordinates methodhigh-order scheme Disclosure StatementNo potential conflict of interest was reported by the authors.Additional informationFundingThis work was supported by the National Magnetic Confinement Fusion (MCF). Energy R&D Program[no. 2022YFE03160001] and the National Natural Science Foundation of China [grant no. 12005020].
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