摘要
基于浅水波绕射理论,利用特征函数展开法并结合应用稳定相分析法,分别推导了椭圆余弦波一阶分量对半无限长以及有限长直立薄壁防波堤的绕射波势解析解,并据此计算了对应于两种不同类型防波堤的无量纲最大波浪力和无量纲最大绕射波面。结果表明:当有限长薄壁防波堤堤长较大时,其所受波浪力和端部的绕射波面分布与半无限长防波堤的对应结果十分接近,从而实现了对应两种防波堤不同浅水波绕射解的相互验证。此外,对于两种防波堤,椭圆余弦波理论所得结果均明显高于Airy微幅波理论的对应值。浅水波入射角、防波堤臂长、水深比以及浅水波特征参数的变化均将对波浪作用产生一定影响。随着浅水波特征参数值的增大,两种防波堤的实际绕射波浪力均随之增大。
Based on shallow wave diffraction theory,the wave potential solutions to first order cnoidal wave diffraction by semi-infinite and finite-length vertical thin wall breakwater are derived respectively by applying the eigenfunction expansion approach and stationary phase method.The dimensionless maximum wave forces and diffracted wave surfaces for two different kind of breakwaters are analytically calculated.Results demonstrate that when the finite-length thin wall breakwater has enough large length,the diffracted wave surface distribution around the end of breakwater and its wave force have almost same values as that of semi-infinite breakwater,which gives an effective mutual verification of two analytical solutions.The wave effect results from cnoidal wave theory for two kind of breakwaters are obviously larger than those predicted by small amplitude wave theory in same shallow water conditions.The variation of incident wave angle,ratio of breakwater arm length,water depth and shallow water wave characteristic may affect the wave.Practical diffracted wave forces on two kind of breakwaters will all increase as the shallow water wave characteristic parameter value increases.
作者
叶伟峰
黄华
苏炜
黄坤辉
YE Weifeng;HUANG Hua;SU Wei;HUANG Kunhui(School of Aeronautics and Astronautics,Sun Yat-sen University,Guangzhou 510275,China)
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2021年第3期105-114,共10页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
广东省科技计划项目(2016A050502022)。
关键词
椭圆余弦波
半无限长直立薄壁防波堤
有限长直立薄壁防波堤
波浪力
绕射波面
cnoidal wave
semi-infinite vertical thin wall breakwater
finite-length vertical thin wall breakwater
wave force
diffracted wave surface
