恒定流对潜堤波浪反射系数影响研究
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摘要
为研究恒定均匀流对直立潜堤波浪反射系数的影响,采用了高阶边界元方法和混合欧拉-拉格朗日时间步进方法更新瞬时自由水面,运用基于二次形状函数的网格重分方案结合四阶龙格库塔方法更新时间积分,并运用两点法得到淹没潜体前的反射系数。将数值模拟得到的波面数据与物理模型试验结果进行对比,两者吻合良好。通过数值模拟研究给出了入射波周期、水流流速、潜堤相对宽度和相对淹没深度对反射系数的影响。结果表明,水流流速和潜堤相对淹没深度对反射系数影响较大,潜堤相对宽度的影响相对较小;水流的存在会使入射波周期等参数对反射系数的影响程度发生改变,在实际工程设计时应考虑水流对潜堤防浪效果的影响。
In order to study the effect of steady uniform flow on wave reflection coefficient of vertical submerged rectangular breakwater,the higher-order boundary element method( HOBEM) and the mixed Eulerian-Lagrangian approach are used to update the instantaneous free surface. As a time-marching scheme,the 4th-order Runge-Kutta method is used to update the time integration combined with regrinding at each time step. The two-point separation method is used to obtain the reflection coefficient in the front of submerged breakwater. By comparing the numerical results obtained by the above-established model with the experimental data,the numerical model is verified to work well. In this paper,the influences of wave period,flow velocity and relative width and relative submerged depth of breakwater on reflection coefficient are then studied. The results show that the flow velocity and relative submerged depth of breakwater have a more significant effect on the reflection coefficient. Besides,as the existence of flow would change the effect degree on reflection coefficient,the influence of flow on wave protection effect of submerged breakwater should be considered in practical engineering application.
In order to study the effect of steady uniform flow on wave reflection coefficient of vertical submerged rectangular breakwater,the higher-order boundary element method( HOBEM) and the mixed Eulerian-Lagrangian approach are used to update the instantaneous free surface. As a time-marching scheme,the 4th-order Runge-Kutta method is used to update the time integration combined with regrinding at each time step. The two-point separation method is used to obtain the reflection coefficient in the front of submerged breakwater. By comparing the numerical results obtained by the above-established model with the experimental data,the numerical model is verified to work well. In this paper,the influences of wave period,flow velocity and relative width and relative submerged depth of breakwater on reflection coefficient are then studied. The results show that the flow velocity and relative submerged depth of breakwater have a more significant effect on the reflection coefficient. Besides,as the existence of flow would change the effect degree on reflection coefficient,the influence of flow on wave protection effect of submerged breakwater should be considered in practical engineering application.
引文
[1]WILLIAMS A N,MCDOUGAL W G.A dynamic submerged breakwater[J].Journal of Waterway,Port,Coastal,and Ocean Engineering,1996:288-296.
[2]BEJI S,BATTJES J A.Experimental investigation of wave propagation over a bar[J].Coastal Engineering,1993,19:151-162.
[3]CHEN K H,CHEN J T.Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater[J].Comput.Methods Appl.Mach.Engrg.,2006,196:551-565.
[4]CHRISTOUA M,SWAN C,GUDMESTAD O T.The interaction of surface water waves with submerged breakwaters[J].Coastal Engineering,2008,55:945-958.
[5]刘勇,何士艳.部分反射直墙前潜堤水动力特性研究[J].海洋学报,2012(6):210-216.(LIU Yong,HE Shiyan.An analysis on the hydrodynamic performance of a submerged breakwater in front of a partially reflecting sidewall[J].ACTA Oceannologica SINICA,2012(6):210-216.(in Chinese))
[6]刘鹏飞,郑永红.淹没矩形防波堤透反射系数特性研究[J].海洋学报,2006,28(5):138-144.(LIU Pengfei,ZHENG Yonghong.Reflection and transmission properties of submerged rectangular breakwaters[J].ACTA Oceannologica SINICA,2006,28(5),138-144.(in Chinese))
[7]何士艳.岸线反射对潜堤水动力特性影响的理论研究[D].青岛:中国海洋大学,2011.(HE Shiyan.Effect of coastline reflection on the performance of a submerged breakwater[D].Qingdao:Ocean University of China,2011.(in Chinese))
[8]江鸣.波浪通过系列矩形潜堤的数值模拟[D].天津:天津大学,2011.(JIANG Ming.Numerical simulation of wave propagation over a series of submerged rectangular dikes[D].Tianjin:Tianjin University,2011.(in Chinese))
[9]陈丽芬.波流混合作用的完全非线性数值模拟[D].大连:大连理工大学,2011.(CHEN Lifen.Fully nonlinear numerical simulation on wave-current interactions[D].Dalian:Dalian University of Technology,2011.(in Chinese))
[2]BEJI S,BATTJES J A.Experimental investigation of wave propagation over a bar[J].Coastal Engineering,1993,19:151-162.
[3]CHEN K H,CHEN J T.Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater[J].Comput.Methods Appl.Mach.Engrg.,2006,196:551-565.
[4]CHRISTOUA M,SWAN C,GUDMESTAD O T.The interaction of surface water waves with submerged breakwaters[J].Coastal Engineering,2008,55:945-958.
[5]刘勇,何士艳.部分反射直墙前潜堤水动力特性研究[J].海洋学报,2012(6):210-216.(LIU Yong,HE Shiyan.An analysis on the hydrodynamic performance of a submerged breakwater in front of a partially reflecting sidewall[J].ACTA Oceannologica SINICA,2012(6):210-216.(in Chinese))
[6]刘鹏飞,郑永红.淹没矩形防波堤透反射系数特性研究[J].海洋学报,2006,28(5):138-144.(LIU Pengfei,ZHENG Yonghong.Reflection and transmission properties of submerged rectangular breakwaters[J].ACTA Oceannologica SINICA,2006,28(5),138-144.(in Chinese))
[7]何士艳.岸线反射对潜堤水动力特性影响的理论研究[D].青岛:中国海洋大学,2011.(HE Shiyan.Effect of coastline reflection on the performance of a submerged breakwater[D].Qingdao:Ocean University of China,2011.(in Chinese))
[8]江鸣.波浪通过系列矩形潜堤的数值模拟[D].天津:天津大学,2011.(JIANG Ming.Numerical simulation of wave propagation over a series of submerged rectangular dikes[D].Tianjin:Tianjin University,2011.(in Chinese))
[9]陈丽芬.波流混合作用的完全非线性数值模拟[D].大连:大连理工大学,2011.(CHEN Lifen.Fully nonlinear numerical simulation on wave-current interactions[D].Dalian:Dalian University of Technology,2011.(in Chinese))