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Chin. Phys. B, 2021, Vol. 30(1): 010101    DOI: 10.1088/1674-1056/abaedf
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Two-dimensional finite element mesh generation algorithm for electromagnetic field calculation

Chun-Feng Zhang(章春锋), Wei Wang(汪伟), Si-Guang An(安斯光)†, and Nan-Ying Shentu(申屠南瑛)
Department of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou 310016, China
Abstract  Two-dimensional finite element mesh generation algorithm for electromagnetic field calculation is proposed in this paper to improve the efficiency and accuracy of electromagnetic calculation. An image boundary extraction algorithm is developed to map the image on the geometric domain. Identification algorithm for the location of nodes in polygon area is proposed to determine the state of the node. To promote the average quality of the mesh and the efficiency of mesh generation, a novel force-based mesh smoothing algorithm is proposed. One test case and a typical electromagnetic calculation are used to testify the effectiveness and efficiency of the proposed algorithm. The results demonstrate that the proposed algorithm can produce a high-quality mesh with less iteration.
Keywords:  mesh generation      smoothing function      finite element      electromagnetic calculation  
Received:  14 July 2020      Revised:  30 July 2020      Accepted manuscript online:  13 August 2020
PACS:  01.50.hv (Computer software and software reviews)  
  02.70.Dh (Finite-element and Galerkin methods)  
  07.55.-w (Magnetic instruments and components)  
  96.15.Gh (Magnetic field and magnetism)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 52077203 and 61701467) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY19E070003).
Corresponding Authors:  Corresponding author. E-mail: annsg@126.com   

Cite this article: 

Chun-Feng Zhang(章春锋), Wei Wang(汪伟), Si-Guang An(安斯光), and Nan-Ying Shentu(申屠南瑛) Two-dimensional finite element mesh generation algorithm for electromagnetic field calculation 2021 Chin. Phys. B 30 010101

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