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A multi-scale finite element method for neutron diffusion eigenvalue problem

delete2025-01-01
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X
Xindi Hu
龚禾林 cover
龚禾林 (Helin Gong)
S
Shengfeng Zhu *
DOI：10.1016/j.net.2024.103420delete
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Abstract

Abstract

En 中文
In this paper, we propose a multi-scale finite element method for solving the two-group neutron diffusion equation, which represents the distribution of neutrons in thermal reactors. More specifically, a coarse-fine two-grid is employed for finite element discretizations. The two-grid algorithm can keep asymptotical accuracy of the single fine-grid finite element method, while saving computational costs. Numerical results are presented to show the effectiveness and efficiency of the algorithm.
Keywords:
Neutron diffusion equation
Two-grid
Finite element method
Eigenvalue problem
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Journal

Nuclear Engineering and Technology cover
Nuclear Engineering and Technology
IF:
2.6
Papers:
1.5K
Citations:
7.9K

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