Iterative analytical solution for wave reflection by a multi-chamber partially perforated caisson breakwater

Yang Zhao; Yong Liu; Huajun Li

doi:10.1007/s13131-020-1622-0

Volume 39 Issue 7

Jul. 2020

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Yang Zhao, Yong Liu, Huajun Li. Iterative analytical solution for wave reflection by a multi-chamber partially perforated caisson breakwater[J]. Acta Oceanologica Sinica, 2020, 39(7): 115-126. doi: 10.1007/s13131-020-1622-0

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Yang Zhao, Yong Liu, Huajun Li. Iterative analytical solution for wave reflection by a multi-chamber partially perforated caisson breakwater[J]. Acta Oceanologica Sinica, 2020, 39(7): 115-126. doi: 10.1007/s13131-020-1622-0

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Iterative analytical solution for wave reflection by a multi-chamber partially perforated caisson breakwater

doi: 10.1007/s13131-020-1622-0

Yang Zhao¹,
Yong Liu^{1
,
,},
Huajun Li¹

Institute of Coastal and Ocean Engineering, Ocean University of China, Qingdao 266100, China

Funds: The National Natural Science Foundation of China under contract Nos 51725903 and 51490675.

More Information

Corresponding author: E-mail: liuyong@ouc.edu.cn
Received Date: 2019-05-28
Accepted Date: 2019-08-08

Available Online: 2020-12-28

Publish Date: 2020-07-25

Abstract

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.
- partially perforated caisson,
- multi-chamber,
- reflection coefficient,
- quadratic pressure drop,
- matched eigenfunction expansions,
- iterative calculation

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References(35)

References

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