正交直墙前直立圆柱的波浪绕射的解析研究  

Analytical Study on Wave Diffraction Around a Vertical Circular Cylinder in Front of Orthogonal Vertical Walls

作　　者：宁德志[1] 滕斌[1] 宋向群[1] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024

出　　处：《海洋科学进展》2004年第1期29-35,共7页Advances in Marine Science

基　　金：国家杰出青年基金资助项目--海洋结构系统在波浪中非线性响应的实时模拟(50025924)

摘　　要：应用镜像原理,将正交直墙前单个圆柱的波浪绕射问题,转化为4个对称布置圆柱的4向入射波浪的绕射问题。然后应用速度势的特征展开方法和Graf加法定理,建立了正交直墙前垂直圆柱的波浪绕射解析解。通过数值计算研究了圆柱与正交直墙间距离大小、波浪入射角等因素与圆柱上总波浪作用力的解析关系。In this paper, the principle of mirror image is used to transform the problem of wave diffraction around a circular cylinder in front of orthogonal vertical walls into the problem of diffraction of four symmetric incident waves around four symmetrically arranged circular cylinders, and then the eigenfunction expansion of velocity potential and Graf's addition theorem are used to give the analytical solution to the wave diffraction problem. The relation of the total wave force on circular to the distance between circular cylinder and orthogonal vertical walls and the incidence angle of wave is also studied by numerical computation.

关 键 词：波浪绕射 波浪力 圆柱 正交直墙 镜像原理 Graf加法定理 

分 类 号：O353.2[理学—流体力学]