关于二层海中的二阶波浪绕射问题<sup>*</sup>

吴建华; 方颖

关于二层海中的二阶波浪绕射问题^*

吴建华,
方颖

中山大学力学系, 广州 510275

基金项目: * 国家自然科学基金;广东省自然科学基资助项目

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- 被引次数: 0
出版历程
- 收稿日期: 1995-05-04
- 修回日期: 1996-01-03
- 刊出日期: 1996-12-15

On the Second Order Wave Diffraction in Two Layer Fluids

Department of Mechanics, Zhongshan University, Guangzhou 510275, P. R. China

摘要

摘要: 在本文中,我们用二层海模型,探讨了层化海洋中任意三维物体的二阶波浪绕射问题,给出了多色波场中二阶波浪散射势边值问题的数学提法以及基于一个弱的远场辐射条件下解的表式。同时,利用Green定理,并通过引入一个辅助势函数,我们导出了结构所受二阶波浪荷载的积分表式。结果表明,海水的层化特性对结构物所受之二阶差频波浪荷载可能具有显著的影响。
- 波浪绕射与散射 /
- 海洋与船舶工程 /
- 波浪荷载 /
- 非线性水波 /
- 内波
Abstract: In this paper, with assumption that the stratified ocean consists of two layer fluidswith different densities, the problem of the second order wave diffraction by threedimensional bodies in the stratifed ocean is investigated With the use of the regularperturbation method. the boundary value problem of the second order multi-chromaticwave scattering potential is firstly formulated, and is based on a weakly radiationcondition, a formal solution Of this boundary value problem is then found. By usingGreen theorem and introducing an assisting potential, the integral expressions, whichdo not explicitly connect with the second order scattering potential, of the second orderwave loads are also derived. Our analysis indicates that the effects of the stratificationupon the second order difference frequency wave loads on the structures may be significant.
- wave diffraction and scattering /
- shipbuilding and offshoreengineering /
- wave loads /
- nonlinear water waves /
- internal waves

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参考文献(9)

[1]	C.C.Mei,Tlre Applied Dynamics of Ocean Surface Waves,Jone Wiley & Sons,Inc.(1983).
[2]	O.M.Faltinsen,Wave loads on offshore structures,Annu.Rev.Fluid Mech.,22(1990),35-56.
[3]	G.P.Miao and Y.Z.Liu,On the radiation condition of second order wave diffraction problems,The 9th OMAE Symp.,1(Part A)(1990),205-212.
[4]	Wu Jianhua,Li Shimo and Wu Xiuhen,A second order stationary solution of three dimensional wave diffraction potential,Acta Mechanica Sinica,7,1(1991).
[5]	Tao Jianhua and Liu Lianwu,Wave-current forces on a large vertical cylinder,J.Hadrodynamics,Ser.A,8,3(1993),265-272.(in Chinese).
[6]	Wu Jianhua and Chen Yaosong,A theory of second order wave diffraction is slightly modulated beam sea,Proc.of Chinese Post-Doctors,Part 4(1991),106-112.
[7]	A.R.Osborne and T.L.Burch,Internal solutions in the andaman sea,Science,208,4443(1980),451-460.
[8]	吴建华、吴秀恒、李世误,大尺度物体在层化海洋中波浪绕射和散射理论(Ⅰ).(Ⅱ).(Ⅲ),水动力学研究与进展,A(2)(1989),81-88; A(3)(1989),105-110; 5(1)(1990),74-80.
[9]	Wu Jianhua,The second order wave loads in stratified ocean,Proc.of 7tlr Int.Workshop on Water Wares and Floating Bodies,Val de Reuil,France,May 24-27(1992).