二层流体中圆弧型贯底式防波堤的绕射波浪力
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摘要
基于二层流体的水波绕射理论,应用特征函数展开法,推导了圆弧型贯底式防波堤对二层流体中的表面波与内波绕射的波势解,并据此解析计算了作用于防波堤的波浪力和力矩。计算结果表明:二层流体中表面波与内波对防波堤的无量纲最大波浪载荷的影响可以具有相同量级。而波浪入射角度、二层流体密度比、海况条件以及防波堤几何条件等的变化对绕射波浪作用均存在一定的影响,且表面波与内波作用的变化规律存在一定差异。二层流体中表面波作用因内波的干扰而有别于均匀海表面波的对应结果。
Based on the wave diffraction theory in the two-layer fluid,and with the use of eigenfunction method,the wave potentials of ocean surface wave and internal wave diffraction in two-layer fluid caused by arc-shaped bottom-mounted breakwater are derived,and accordingly the wave forces and moments on breakwater are analytically calculated. The result shows that in two-layer fluid,the maximum dimensionless wave loads caused respectively by surface wave and internal wave may have the same order of magnitude. The relative variation of incident wave angle,two layer fluid density ratio,sea water condition and breakwater structure geometry condition may have some influence on diffracted wave effects,and there are some differences between the variation of surface wave effect and that of internal wave effect. Because of interference from internal wave,the diffracted effects of surface wave in two fluid are different from that of surface wave in uniform ocean.
Based on the wave diffraction theory in the two-layer fluid,and with the use of eigenfunction method,the wave potentials of ocean surface wave and internal wave diffraction in two-layer fluid caused by arc-shaped bottom-mounted breakwater are derived,and accordingly the wave forces and moments on breakwater are analytically calculated. The result shows that in two-layer fluid,the maximum dimensionless wave loads caused respectively by surface wave and internal wave may have the same order of magnitude. The relative variation of incident wave angle,two layer fluid density ratio,sea water condition and breakwater structure geometry condition may have some influence on diffracted wave effects,and there are some differences between the variation of surface wave effect and that of internal wave effect. Because of interference from internal wave,the diffracted effects of surface wave in two fluid are different from that of surface wave in uniform ocean.
引文
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[13]ZHU Menghua,HUANG Hua,ZHAN Jiemin,et al.Wave interaction with porous vertical breakwater in TwoLayer Fluid[C]//The 7th International Conference on Fluid Mechanic.Qingdao:Procedia Engineering,2015:218-222.
[2]LOSADA I J,LOSADA M A,ROLDáN A J.Propagation of oblique incident waves past rigid vertical thin barriers[J].Applied Ocean Research,1992,14(3):191-199.
[3]WILLIAMS A N.Water wave interaction with a floating porous cylinder[J].Ocean Engineering,2000,27(1):1-28.
[4]程建生,缪国平,王景全,等.圆弧型贯底式防波堤防浪效果的解析研究[J].船舶力学,2008,12(1):12-17.CHENG Jiansheng,MIAO Guoping,WANG Jingquan,et al.Analytical research on the sheltering effect on arcshaped bottom-mounted breakwaters[J].Journal of Ship Mechanics,2008,12(1):12-17.
[5]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[J].水动力学研究与进展A辑,2014,29(2):212-217.CHU Yuchuan,CHENG Jiansheng,ZHAO Xin,et al.Analytical study on the wave force of arc-shaped bottommounted breakwaters[J].Chinese Journal of Hydrodynamics,2014,29(2):212-217.
[6]吴建华,吴秀恒,李世谟.大尺度物体在层化海洋中的波浪绕射和散射理论(II)简谐运动[J].水动力学研究与进展,1989,4(3):105-110.WU Jianhua,WU Xiuheng,LI Shimo.A theory of wave diffraction and radiation by a large body in stratified ocean(П)boundary element method[J].Chinese Journal of Hydrodnamics,1989,4(3):105-110.
[7]吴建华,吴秀恒,李世谟.大尺度物体在层化海洋中的波浪绕射和散射理论(III)边界元方法[J].水动力学研究与进展,1990,5(1):74-80.WU Jianhua,WU Xiuheng,LI Shimo.A theory of wave diffraction and radiation by a large body in stratified ocean(Ш)boundary element method[J]Chinese Journal of Hydrodnamics,1990,5(1):74-80.
[8]吴建华,吴秀恒,李世谟.大尺度物体在层化海洋中的波浪绕射和散射理论(IV)本征函数展开方法[J].水动力学研究与进展,1991,6(3):46-54.WU Jianhua,WU Xiuheng,LI Shimo.A theory of wave diffraction and radiation by a large body in stratified ocean(Ⅳ)the eigen-function expansion method[J]Chinese Journal of Hydrodnamics,1991,6(3):46-54.
[9]尤云祥,石强,缪国平.两层流体中大直径圆柱体的水动作用力[J].上海交通大学学报,2005,39(5):695-700.YOU Yunxiang,SHI Qiang,MIAO Guoping.The hydrodynamic forces on a large diameter cylinder in two-layer fluid[J].Journal of Shanghai Jiao Tong University,2005,39(5):695-700.
[10]付静,黄华,朱庆勇.二层流体中透空大直径桩柱的波浪特性分析[J].中山大学学报(自然科学版),2008,47(3):14-18.FU Jing,HUANG Hua,ZHU Qingyong.Analytical of wave characteristics on large diameter porous vertical circular cyclinder in two-layer ocean[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2008,47(3):14-18.
[11]付静,黄华,詹杰民,等.二层海洋中波浪对透空双圆柱的绕射作用分析[J].中山大学学报(自然科学版),2008,47(2):76-80.FU Jing,HUANG Hua,ZHAN Jiemin,et al.Analyticalof wave diffraction by porous mutltiple vertical cylinders in two-layer ocean[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2008,47(2):76-80.
[12]黄华,许萧楠,詹杰民,等.作用于二层海洋中大直径透空圆环墩柱上的波浪渗流力[J].中山大学学报(自然科学版),2013,52(5):6-13.HUANG Hua,XU Xiaonan,ZHAN Jiemin,et al.Wave-induced seepage forces on the large diameter porous vertical circular annular cylinder in two-layer ocean[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2013,52(5):6-13.
[13]ZHU Menghua,HUANG Hua,ZHAN Jiemin,et al.Wave interaction with porous vertical breakwater in TwoLayer Fluid[C]//The 7th International Conference on Fluid Mechanic.Qingdao:Procedia Engineering,2015:218-222.