An Analytical Solution for Linear Long Wave Reflection by Two Submerged Rectangular Breakwaters
An Analytical Solution for Linear Long Wave Reflection by Two Submerged Rectangular Breakwaters
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DOI：
10.6119/jmst-012-0206-3
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发表时间：
2013-04
影响因子：
2.6
通讯作者：
Huan-wen Liu;J. Luo
中科院分区：
文献类型：
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作者：
Huan-wen Liu;J. Luo
本文给出了两个矩形防波堤对线性长波反射的解析解。给出了波浪反射系数的闭式表达式，得到了两个著名的解析解作为其特例，其中包括Mei(1989)给出的矩形防波堤对波浪的反射和Lamb(1932)给出的无限阶波反射。研究发现，对于单个矩形防波堤，反射系数随kh存在的周期性消失；对于对称防波堤结构，反射系数随kh变化的周期性消失。在现有防波堤的基础上增加一个新防波堤或将单个防波堤分解成两个防波堤时，即使总截面积减小，全反射效应也会增强。最后，研究了双堤宽度对峰值布拉格反射的影响。
In this paper, an analytical solution for linear long wave reflection by two rectangular breakwaters is explored. A closed-form expression of wave reflection coefficient is obtained which finds two well-known analytical solutions to be its special cases, including wave reflection by a rectangular breakwater given by Mei in 1989 and wave reflection by an infinite step given by Lamb in 1932. It is found that the periodicity of the reflection coefficient as a function of kh existed for a single rectangular breakwater disappears for a pair of breakwaters, and zero reflection phenomenon mostly occurs for symmetrical breakwater structure. It is also shown that the total reflection effect will be enhanced when a new breakwater is added into an existing one or when a single breakwater is decomposed into a pair of breakwaters even if the resulting total sectional area is reduced. Finally, the influence of the width of twin breakwaters to the peak Bragg reflection is studied.