An Analytical Solution for Linear Long Wave Reflection by Two Submerged Rectangular Breakwaters

Huan-Wen Liu ； Jiong-Xing Luo

《Journal of Marine Science and Technology》 21卷2期 (2013/04) Pp. 142-148

https://doi.org/10.6119/JMST-012-0206-3

並列摘要

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.

並列關鍵字

two rectangular breakwaters ； analytical solution ； longwave equation ； periodicity of reflection coefficient ； total reflection ； Bragg resonance

參考文獻

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