Scattering of water waves by thin vertical plate submerged below ice-cover surface
Scattering of water waves by thin vertical plate submerged below ice-cover surface作者机构：Department of Mathematics Jadavpur University Deshapran Birendranath Institution For Boys
出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)
年 卷 期：2011年第32卷第5期
页 面：635-644页
核心收录：
学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）]
基 金：supported by the Department of Science and Technology of New Delhi (No.SR/SY/MS:521/08)
主 题：scattering problem ice-cover surface hypersingular integral equation Green's integral theorem reflection and transmission coefficients
摘 要：The present paper is concerned with scattering of water waves from a vertical plate, modeled as an elastic plate, submerged in deep water covered with a thin uniform sheet of ice. The problem is formulated in terms of a hypersingular integral equation by a suitable application of Green＇s integral theorem in terms of difference of potential functicns across the barrier. This integral equation is solved by a collocation method using a finite series involving Chebyshev polynomials. Reflection and transmission coefficients are obtained numerically and presented graphically for various values of the wave number and ice-cover parameter.
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