Wave scattering by undulating bed topography in a two-layer ocean  

作　　者：P. MAITI B. N. MANDAL U. BASU 

机构地区：[1]Department of Mathematics, Jadavpur University [2]Physics and Applied Mathematics Unit, Indian Statistical Institute [3]Department of Applied Mathematics, Calcutta University

出　　处：《Journal of Marine Science and Application》2009年第3期183-195,共13页船舶与海洋工程学报（英文版）

摘　　要：The problem of wave scattering by undulating bed topography in a two-layer ocean is investigated on the basis of linear theory. In a two-layer fluid with the upper layer having a free surface, there exist two modes of waves propagating at both the free surface of the upper layer and the interface between the two layers. Due to a wave train of a particular mode incident on an obstacle which is bottom-standing on the lower layer, reflected and transmitted waves of both modes are created by the obstacle. For small undulations on the bottom of the lower layer, a perturbation method is employed to obtain first-order reflection and transmission coefficients of both modes for incident wave trains of again both modes in terms of integrals involving the bed-shape fimction. For sinusoidal undulations, numerical results are presented graphically to illustrate the energy transfer between the waves of different modes by the undulating bed.

关 键 词：two-layer ocean wave scattering bottom undulations reflection and transmission coefficients 

分 类 号：P731.2[天文地球—海洋科学]