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

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.