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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(guó)海洋工程（英文版） ISTICEISCI Journal： China Ocean Engineering 年，卷(期)： 2011, 25(4) 分類號(hào)： P731.2 Keywords： Green function two-layer fluid three dimensions singularities method 機(jī)標(biāo)分類號(hào)： O3 TV1 機(jī)標(biāo)關(guān)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(xiàng)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(guó)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...【Green Functions with Pulsating Sourc】相關(guān)文章：
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