在微幅波绕射理论的基础上,使用特征函数展开法,推导了圆柱外接圆弧型防波堤复合结构的水波绕射的解析解,并据此计算了该结构所受到的波浪载荷以及绕射波面分布。计算结果表明:与单一圆柱相比,外接圆弧型防波堤的存在可明显降低作用于圆柱的波浪载荷和圆柱表面的波浪爬高;采用外接堤表面密实或透空而内圆柱表面透空的结构形式可以取得圆柱防浪的较佳效果;结构透空系数、波浪入射角度、外接堤张角、外堤半径与水深比、水深与波长比等因素的变化对绕射波浪作用均存在一定影响。
Abstract
The analytical solution to the wave diffraction of compound structure of a circular cylinder circumscribed arc-shaped breakwater is derived using the eigenfunction expansion approach based on the theory of small-amplitude wave diffraction. Accordingly, the wave loads on the structure and the diffracted wave free surfaces are calculated. The calculation evaluating results show that the circumscribed arc-shaped breakwater, compared with single cylinder, could obviously reduce the direct wave loads on cylinder and the wave runup around the surface of cylinder. The structure with solid or porous outer breakwater and porous inner cylinder could get good wave prevention effect. The variations of porous coefficient of structure, incident wave angle, outer breakwater central angle, outer breakwater radius and water depth ratio, water depth and wave length ratio have influence on diffracted wave effects.
关键词
水波绕射 /
特征函数展开法 /
圆柱外接圆弧型防波堤复合结构 /
波浪力 /
绕射波面 /
波浪爬高
Key words
wave diffraction /
eigenfunction expansion approach /
compound porous structure of a circular cylinder circumscribed arc-shaped breakwater /
wave force /
diffracted wave free surface /
wave runup
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参考文献
[1] 程兴奇,刘福臣,李凌宵.水工建筑物波浪要素计算探讨.长江科学院院报,2009,26(7):21-24.
[2] MACCAMY R C, FUCHS R A. Wave Forces on Piles: A Diffraction Theory. USA: US Army Coastal Engineering Research Center, 1954.
[3] GARRETT C J R. Wave Forces on a Circular Dock. Journal of Fluid Mechanics, 1971, 46(1): 129-139.
[4] CHWANG A T, CHAN A. Interaction Between Porous Media and Wave Motion. Annual Review of Fluid Mechanics, 1998, 30(1): 53-84.
[5] WILLIAMS A N, LI W, WANG K H. Water Wave Interaction with a Floating Porous Cylinder. Ocean Engineering, 2000, 27(1): 1-28.
[6] WILLIAMS A N, LI W. Water Wave Interaction with an Array of Bottom-Mounted Surface-Piercing Porous Cylinders. Ocean Engineering, 2000, 27(8): 841-866.
[7] 廖 斌,陈善群,任超洋.潜堤上波浪传播过程数值研究.长江科学院院报,2017,34(8):52-58.
[8] 张成兴,李丽慧,马 加.气幕防波堤消波性能影响因素数值模拟研究.长江科学院院报,2012,29(6):31-35.
[9] DARWICHE M K M, WILLIAMS A N, WANG K H. Wave Interaction with Semi-porous Cylindrical Breakwater. Journal of Waterway Port Coastal and Ocean Engineering, 1994, 120(4): 382-403.
[10] WILLIAMS A N, LI W. Wave Interaction with a semi-porous Cylindrical Breakwater Mounted on a Storage Tank. Ocean Engineering, 1998, 25(2/3):195-219.
[11] WANG K H, REN X. Wave Interaction with a Concentric Porous Cylinder System. Ocean Engineering,1994, 21(4): 343-360.
[12] 李玉成,孙 路,滕 斌.波浪与外壁开孔双筒柱群的相互作用.力学学报,2005,37(2):141-147.
[13] 楚玉川,程建生,赵 鑫,等.圆弧型贯底式防波堤上波浪作用力的解析研究.水动力学研究与进展A辑, 2014,29(2):212-217.
[14] DUAN J H, CHENG J S, WANG J P, et al. Wave Diffraction on Arc-shaped Floating Perforated Breakwaters. China Ocean Engineering, 2012, 26(2): 305-316.
基金
中央高校基本科研业务费项目(17lgjc41)
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