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多消浪室局部开孔沉箱防波堤反射特性的迭代解析研究
引用本文:赵洋,刘勇,李华军.多消浪室局部开孔沉箱防波堤反射特性的迭代解析研究[J].海洋学报(英文版),2020,39(7):115-126.
作者姓名:赵洋  刘勇  李华军
作者单位:中国海洋大学, 海岸与海洋工程研究所, 青岛, 266100
基金项目:The National Natural Science Foundation of China under contract Nos 51725903 and 51490675.
摘    要:基于势流理论,对多消浪室局部开孔沉箱防波堤的反射特性进行解析研究。研究中采用开孔墙处的二次压力损失边界条件,可以直接考虑波高对于开孔墙处能量损失的影响。利用匹配特征函数展开法和迭代方法得到当前问题的解析解。收敛性验证表明,迭代计算和级数解均具有良好的收敛性。该解析解的计算结果与分区边界元的数值计算结果一致,并且与已有的试验结果符合良好。通过算例分析,研究开孔沉箱防波堤反射系数的主要影响因素。结果表明:与单消浪室开孔沉箱防波堤相比,多消浪室开孔沉箱防波堤可以在更宽的波浪频率范围内保持低反射;增大开孔墙的开孔率,有利于降低多消浪室开孔沉箱防波堤的反射系数;当开孔墙的开孔率沿着入射波方向依次递减时,多消浪室开孔沉箱防波堤的反射系数较小。本文所建立的解析模型简单可靠,可用于工程初步设计中分析开孔沉箱防波堤的水动力性能。

关 键 词:局部开孔沉箱  多消浪室  反射系数  二次压力损失  匹配特征函数展开  迭代计算
收稿时间:2019/5/28 0:00:00

Iterative analytical solution for wave reflection by a multi-chamber partially perforated caisson breakwater
Zhao Yang,Liu Yong,Li Huajun.Iterative analytical solution for wave reflection by a multi-chamber partially perforated caisson breakwater[J].Acta Oceanologica Sinica,2020,39(7):115-126.
Authors:Zhao Yang  Liu Yong  Li Huajun
Institution:Institute of Coastal and Ocean Engineering, Ocean University of China, Qingdao 266100, China
Abstract:This study examines wave reflection by a multi-chamber partially perforated caisson breakwater based on potential theory. A quadratic pressure drop boundary condition at perforated walls is adopted, which can well consider the effect of wave height on the wave dissipation by perforated walls. The matched eigenfunction expansions with iterative calculations are applied to develop an analytical solution for the present problem. The convergences of both the iterative calculations and the series solution itself are confirmed to be satisfactory. The calculation results of the present analytical solution are in excellent agreement with the numerical results of a multi-domain boundary element solution. Also, the predictions by the present solution are in reasonable agreement with experimental data in literature. Major factors that affect the reflection coefficient of the perforated caisson breakwater are examined by calculation examples. The analysis results show that the multi-chamber perforated caisson breakwater has a better wave energy dissipation function (lower reflection coefficient) than the single-chamber type over a broad range of wave frequency and may perform better if the perforated walls have larger porosities. When the porosities of the perforated walls decrease along the incident wave direction, the perforated caisson breakwater can achieve a lower reflection coefficient. The present analytical solution is simple and reliable, and it can be used as an efficient tool for analyzing the hydrodynamic performance of perforated breakwaters in preliminary engineering design.
Keywords:partially perforated caisson  multi-chamber  reflection coefficient  quadratic pressure drop  matched eigenfunction expansions  iterative calculation
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