Scattering of water waves by thin vertical plate submerged below ice-cover surface  

作　　者：P.MAITI P.RAKSHIT S.BANERJEA 

机构地区：[1]Department of Mathematics Jadavpur University [2]Deshapran Birendranath Institution For Boys

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第5期635-644,共10页应用数学和力学（英文版）

基　　金：supported by the Department of Science and Technology of New Delhi (No.SR/SY/MS:521/08)

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.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.

关 键 词：scattering problem ice-cover surface hypersingular integral equation Green＇s integral theorem reflection and transmission coefficients 

分 类 号：O353.2[理学—流体力学]