Closed-form solutions for wave reflection and transmission by vertical slotted barrier

In this paper, we introduce the closed-form solution developed by Kim in 1998 for calculating the reflection and transmission coefficients of a vertical slotted barrier, which is not well known because it is presented in his thesis. It is then compared with other closed-form solutions developed by d...

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Bibliographic Details
Published in:Coastal engineering (Amsterdam) 2011-12, Vol.58 (12), p.1089-1096
Main Authors: Suh, Kyung-Duck, Ji, Chang-Hwan, Kim, Bum Hyoung
Format: Article
Language:English
Subjects:
Barriers
Breakwaters
Closed-form solution
Coastal engineering
Deep water
Earth sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
Exact solutions
Geomorphology, landform evolution
Inertia
Inertial
Marine and continental quaternary
Mathematical analysis
Perforated-wall
Reflection
Surficial geology
Wave reflection
Wave transmission
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Summary:In this paper, we introduce the closed-form solution developed by Kim in 1998 for calculating the reflection and transmission coefficients of a vertical slotted barrier, which is not well known because it is presented in his thesis. It is then compared with other closed-form solutions developed by different authors. It is shown that all the solutions give a wrong result for long waves, i.e., large reflection and small transmission. It is also shown that the inertia term is important for intermediate-depth and deep water waves so that the solution including the inertial effect gives better prediction than those neglecting the inertial effect. The accuracy of the existing closed-form solutions is not satisfactory, even though they have been developed based on fundamental fluid mechanics principles. We propose a hybrid solution several parameters of which are based on empirical formulas. The hybrid solution better predicts the reflection and transmission coefficients than the existing solutions. Moreover, it gives a correct result, i.e., small reflection and large transmission, for long waves.
ISSN:0378-3839
1872-7379
DOI:10.1016/j.coastaleng.2011.06.001