波浪在圆弧型浮式多孔介质防波堤绕射的解析  

Analytical research on wave diffraction of arc-shaped floating porous breakwaters

作　　者：程建生[1] 袁辉[1] 缪国平 王景全[1] 

机构地区：[1]解放军理工大学工程兵工程学院,江苏南京210007 [2]上海交通大学船舶海洋与建筑工程学院,上海200030

出　　处：《解放军理工大学学报（自然科学版）》2010年第5期551-556,共6页Journal of PLA University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50578157);江苏省自然科学基金资助项目(BK2006013)

摘　　要：为研究圆弧型浮式多孔介质防波堤的防浪效果,给出了圆弧型浮式多孔介质防波堤对波浪绕射计算的解析方法。假定防波堤刚性垂直薄壁、空间固定、水深恒定。假想存在一个圆柱面,把流场划分为内外区域,在每个区域上将速度势用特征函数展开,然后在它们的公共边界上进行匹配。匹配的原则是公共边界上速度连续、压力连续,从而可得到关于未知系数的一组线性代数方程组,解出未知系数,即可求得流域中任意一点的速度势和波高。数值结果给出了不同入射波波长及防波堤不同垂向沉深和不同孔隙率时防波堤周围波幅的等高线图。结果表明,圆弧型浮式多孔介质防波堤的防浪效果与入射波波长和防波堤的垂向沉深及孔隙率密切相关。An analytical method was developed to study the wave diffraction effects on arc-shaped floating porous breakwaters.The breakwater was assumed to be rigid,thin,vertical,immovable and located in water of constant depth.The fluid domain was divided into two regions by imaginary interface.The velocity potential in each region was expanded by eigenfunctions.By satisfying the continuity of pressure and normal velocity across the imaginary fluid interface,a set of linear algebraic equations could be obtained to determine the unknown coefficients for eigenfunctions.Numerical results,in the form of contour maps of the relative wave amplitude around the breakwater,were presented for a range of wave and breakwater parameters.Results show that the sheltering effects on the arc-shaped floating porous breakwater are closely relative to the incident wavelength,the draft and the porosity of the breakwater.

关 键 词：多孔介质防波堤 波浪绕射 速度势 特征函数 孔隙率 

分 类 号：O353.2[理学—流体力学]