竖直薄板浸没在表面覆盖冰层海水中时的水波散射  

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

作　　者：P·马悌 P·拉克西特 S·巴内杰亚 

机构地区：[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

出　　处：《应用数学和力学》2011年第5期599-607,共9页Applied Mathematics and Mechanics

基　　金：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.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.

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 

分 类 号：O353.2[理学—流体力学] P731.22[理学—力学]