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CSME 2020/10
Volume 41 No.5
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627-637
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Construction and Application of a Stable Nodal Integration Method in Computational Electromagnetics on Tetrahedral Meshes
Hui Fenga and Xiangyang Cuib
aSchool of Electromechanical and Automotive Engineering, Yantai University, Yantai 264005, PR China
bState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China
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Abstract:
This paper presents a stable nodal integration method (SNIM) to solve nonlinear magnetostatic and transient eddy current electromagnetic problems. A weakened weak formulation based on nodes is firstly considered, framing the so-called node-based smoothing domains. Secondly, the integration scheme of SNIM formulation is derived by constructing appropriate equivalent smoothing domains and temporary integration points. And then, the authors use the presented method to solve various benchmark problems to observe its properties adopting linear nodal tetrahedral meshes. The results show that the proposed approach is better in sense of accuracy than traditional finite element method, and the effectiveness and potentialities of SNIM for electromagnetic applications can be witnessed.
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Keywords: Stable nodal integration method, Magnetostatic, Transient eddy current, Linear tetrahedral meshes.
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©
2020
CSME , ISSN 0257-9731
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