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

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

迦达浦大学力学系,加尔各答 700032,印度;

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
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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

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

Department of Mathematics, Jadavpur University, Kolkata-700032, India;
Deshapran Birendranath Institution for Boys, 198-B S. P. Mukherjee Road, Kolkata-700026, India

摘要

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．
- 散射问题 /
- 冰层覆盖的表面 /
- Green积分定理 /
- 超奇异积分方程 /
- 反射系数和透射系数
Abstract: Scattering of water waves by a vertical plate submerged in deep water covered with a thin uniform sheet of ice, modelled as an elastic plate was concerned. The problem was formulated in terms of a hypersingular integral equation by a suitable application of Green's integral theorem, in terms of difference of potential functions across the barrier. This integral equation was solved by collocation method using a finite series involving Chebyshev polynomials. The reflection and transmission coefficients were obtained numerically and presented graphically for various values of the wave number and ice cover parameter.
- scattering problem /
- ice-cover surface /
- Green’s integral theorem /
- hypersingular integral equation /
- reflection and transmission coefficients

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参考文献(14)

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