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竖直薄板浸没在表面覆盖冰层海水中时的水波散射

P·马悌 P·拉克西特 S·巴内杰亚

P·马悌, P·拉克西特, S·巴内杰亚. 竖直薄板浸没在表面覆盖冰层海水中时的水波散射[J]. 应用数学和力学, 2011, 32(5): 599-607. doi: 10.3879/j.issn.1000-0887.2011.05.010
引用本文: P·马悌, P·拉克西特, S·巴内杰亚. 竖直薄板浸没在表面覆盖冰层海水中时的水波散射[J]. 应用数学和力学, 2011, 32(5): 599-607. doi: 10.3879/j.issn.1000-0887.2011.05.010
Paramita Maiti, Puspendu Rakshit, Sudeshna Banerjea. Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface[J]. Applied Mathematics and Mechanics, 2011, 32(5): 599-607. doi: 10.3879/j.issn.1000-0887.2011.05.010
Citation: Paramita Maiti, Puspendu Rakshit, Sudeshna Banerjea. Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface[J]. Applied Mathematics and Mechanics, 2011, 32(5): 599-607. doi: 10.3879/j.issn.1000-0887.2011.05.010

竖直薄板浸没在表面覆盖冰层海水中时的水波散射

doi: 10.3879/j.issn.1000-0887.2011.05.010
基金项目: 印度科学与工业研究理事会CSIR资助项目;印度科技部DST基金资助项目(SR/SY/MS:521/08)
详细信息
  • 中图分类号: O353.2;P731.22

Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface

  • 摘要: 研究在一片均匀薄冰所覆盖的深水中,浸没其间的竖直平板引起的水波散射,冰层看作弹性薄板.通过对障碍物前方的势函数微分,问题被归结为一个超奇异的积分方程,应用适当的Green积分定理,应用一个包含Chebyshev多项式的有限级数配置法,求解该积分方程.得到反射系数和透射系数的数值结果,并在不同的波数和覆盖冰层参数下,用图形表示出来.
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出版历程
  • 收稿日期:  2010-10-28
  • 修回日期:  2011-02-18
  • 刊出日期:  2011-05-15

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