Scattering of Surface Waves by the Edge of a Small Undulation on a Porous Bed in an Ocean with Ice-cover  被引量:3

Scattering of Surface Waves by the Edge of a Small Undulation on a Porous Bed in an Ocean with Ice-cover

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作  者:Smrutiranjan Mohapatra 

机构地区:[1]Department of Mathematics, Institute of Chemical Technology, Mumbai 400019, India

出  处:《Journal of Marine Science and Application》2014年第2期167-172,共6页船舶与海洋工程学报(英文版)

摘  要:Scattering of surface waves by the edge of a small undulation on a porous bed in an ocean of finite depth, where the free surface has an ice-cover being modelled as an elastic plate of very small thickness, is investigated within the framework of linearized water wave theory. The effect of surface tension at the surface below the ice-cover is neglected. There exists only one wave number propagating at just below the ice-cover. A perturbation analysis is employed to solve the boundary value problem governed by Laplace's equation by a method based on Green's integral theorem with the introduction of appropriate Green's function and thereby evaluating the reflection and transmission coefficients approximately up to first order. A patch of sinusoidal ripples is considered as an example and the related coefficients are determined.

关 键 词:porous bed ICE-COVER surface waves bottom undulation Green’s function perturbation technique reflection and transmission coefficients 

分 类 号:O353.2[理学—流体力学] P343.6[理学—力学]

 

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