Green Functions with Pulsating Sources in A Two-Layer Fluid of Finite Depth

Abstract：The derivation of Green function in a two-layer fluid model has been treated in different ways.In a two-layer fluid with the upper layer having a free surface,there exist two modes of waves propagating due to the free surface and the interface.This paper is concerned with the derivation of Green functions in the three dimensional case of a stationary source oscillating.The source point is located either in the upper or lower part of a two-layer fluid of finite depth.The derivation is carried out by the method of singularities.This method has an advantage in that it involves representing the potential as a sum of singularities or multipoles placed within any structures being present.Furthermore,experience shows that the systems of equations resulted from using a singularity method possess excellent convergence characteristics and only a few equations are needed to obtain accurate numerical results.Validation is done by showing that the derived two-layer Green function can be reduced to that of a single layer of finite depth or that the upper Green function coincides with that of the lower,for each case.The effect of the density on the internal waves is demonstrated.Also,it is shown how the surface and internal wave amplitudes are compared for both the wave modes.The fluid in this case is considered to be inviscid and incompressible and the flow is irrotational. 作者： Author： MANYANGA D.O.  DUAN Wen-yang 作者單位： College of Shipbuilding, Harbin Engineering University, Harbin 150001, China 期 刊： 中國海洋工程（英文版）   ISTICEISCI Journal： China Ocean Engineering 年，卷(期)： 2011, 25(4) 分類號： P731.2 Keywords： Green function    two-layer fluid    three dimensions    singularities method    機標分類號： O3 TV1 機標關鍵詞： Finite Depth    Green function    free surface    finite depth    systems of equations    three dimensional    stationary source    upper    two    internal waves    case    singularity    fluid model    structures    experience    method of    different    treated    paper    exist 基金項目： the National Natural Science Foundation of China Green Functions with Pulsating Sources in A Two-Layer Fluid of Finite Depth[期刊論文]  中國海洋工程（英文版） --2011, 25(4)The derivation of Green function in a two-layer fluid model has been treated in different ways.In a two-layer fluid with the upper layer having a free surface,there exist two modes of waves propagating...

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