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An accelerated scheme with high quality mesh based on Lloyd iteration

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Abstract

High quality mesh plays an important role for finite element methods in science computation and numerical simulation. Whether the mesh quality is good or not, to some extent, it determines the calculation results of the accuracy and efficiency. Different from classic Lloyd iteration algorithm which is convergent slowly, a novel accelerated scheme was presented, which consists of two core parts: mesh points replacement and local edges Delaunay swapping. By using it, almost all the equilateral triangular meshes can be generated based on centroidal Voronoi tessellation (CVT). Numerical tests show that it is significantly effective with time consuming decreasing by 40%. Compared with other two types of regular mesh generation methods, CVT mesh demonstrates that higher geometric average quality increases over 0.99.

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Authors and Affiliations

  1. School of Mechanical Engineering, Xiangtan University, Xiangtan, 411105, China

    Heng-feng Qin  (秦衡峰), Yi Wang  (王艺), Ming-fu Li  (李明富) & Hou-ming Zhou  (周后明)

  2. Key Laboratory of Computation and Simulation in Science and Engineering of Hunan Province, Xiangtan University, Xiangtan, 411105, China

    Heng-feng Qin  (秦衡峰)

Authors
  1. Heng-feng Qin  (秦衡峰)
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  2. Yi Wang  (王艺)
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  3. Ming-fu Li  (李明富)
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  4. Hou-ming Zhou  (周后明)
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Corresponding author

Correspondence to Heng-feng Qin  (秦衡峰).

Additional information

Foundation item: Project(11002121) supported by the National Natural Science Foundation of China; Project(09QDZ09) supported by Doctor Foundation of Xiangtan University, China; Project(2009LCSSE11) supported by Hunan Key Laboratory for CSSE, China; Project(2011FJ3231) supported by Planned Science and Technology Project of Hunan Province, China; Project(12JJ3054) supported by the Provincial Natural Science Foundation of Hunan, China

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Qin, Hf., Wang, Y., Li, Mf. et al. An accelerated scheme with high quality mesh based on Lloyd iteration. J. Cent. South Univ. 19, 2797–2802 (2012). https://doi.org/10.1007/s11771-012-1344-3

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  • DOI: https://doi.org/10.1007/s11771-012-1344-3

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