中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20301-020301.doi: 10.1088/1674-1056/19/2/020301

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Effects of orientation and shape of holes on the band gaps in water waves over periodically drilled bottoms

钟会林1, 吴福根2, 钟兰花3   

  1. (1)Department of Physics, Zhanjiang Normal College, Zhanjiang 524048, China; (2)Department of Experiment Education, Guangdong University of Technology, Guangzhou 510090, China; (3);Department of Experiment Education, Guangdong University of Technology, Guangzhou 510090, China
  • 收稿日期:2009-06-08 修回日期:2009-07-09 出版日期:2010-02-15 发布日期:2010-02-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10674032).

Effects of orientation and shape of holes on the band gaps in water waves over periodically drilled bottoms

Zhong Lan-Hua(钟兰花)a)b), Wu Fu-Gen(吴福根)b)c), and Zhong Hui-Lin(钟会林)b)   

  1. a Department of Physics, Zhanjiang Normal College, Zhanjiang 524048, China; Department of Experiment Education, Guangdong University of Technology, Guangzhou 510090, China; c The Abdus Salam International Center for Theoretical Physics, Trieste 34014, Italy
  • Received:2009-06-08 Revised:2009-07-09 Online:2010-02-15 Published:2010-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10674032).

摘要: The complete band gaps (CBGs) of shallow water waves propagating over bottoms with periodically drilled holes are investigated numerically by the plane wave expansion method. Four different patterns are considered, containing triangular, square, hexagonal and circular cross-sectioned holes arranged into triangular lattices. Results show that the width of CBGs can be changed by adjusting the orientation of noncircular holes and the effect of hole shape on the width of the maximal CBGs is discussed.

Abstract: The complete band gaps (CBGs) of shallow water waves propagating over bottoms with periodically drilled holes are investigated numerically by the plane wave expansion method. Four different patterns are considered, containing triangular, square, hexagonal and circular cross-sectioned holes arranged into triangular lattices. Results show that the width of CBGs can be changed by adjusting the orientation of noncircular holes and the effect of hole shape on the width of the maximal CBGs is discussed.

Key words: water surface wave, band gap, plane wave expansion method

中图分类号:  (Hydrodynamic waves)

  • 47.35.-i
47.10.-g (General theory in fluid dynamics) 92.10.Hm (Ocean waves and oscillations)