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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 | |
| 引用本文： | P·马悌,P·拉克西特,S·巴内杰亚,黄锋. 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). DOI: 10.3879/j.issn.1000-0887.2011.05.010 |
| 作者姓名： | P·马悌 P·拉克西特 S·巴内杰亚 黄锋 |
| 作者单位： | 1. 迦达浦大学,力学系,加尔各答 700032,印度 2. Deshapran Birendranath BOYS研究所,S.P.玛克赫吉路198-B,加尔各答700026,印度 3. 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) |
| 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. |
| 关 键 词： | 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 |
Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface |
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| 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). DOI: 10.3879/j.issn.1000-0887.2011.05.010 | |
| Authors: | Paramita Maiti Puspendu Rakshit Sudeshna Banerjea |
| Affiliation: | Paramita Maiti1,Puspendu Rakshit2,Sudeshna Banerjea1(1.Department of Mathematics,Jadavpur University,Kolkata-700032,India,2.Deshapran Birendranath Institution for Boys,198-B S.P.Mukherjee Road,Kolkata-700026,India) |
| 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 obtai... |
| Keywords: | scattering problem ice-cover surface Green's integral theorem hypersingular integral equation reflection and transmission coefficients |
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