Closed-form solutions for wave reflection and transmission by vertical slotted barrier |
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Authors: | Kyung-Duck Suh Chang-Hwan Ji Bum Hyoung Kim |
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Affiliation: | 1. Department of Civil and Environmental Engineering, Seoul National University, 599 Gwanak-ro, Gwanak-gu, Seoul 151–744, Republic of Korea;2. Hyundai Development Company Engineering & Construction, 160 Samsung-dong, Gangnam-gu, Seoul 135–881, Republic of Korea |
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Abstract: | 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. |
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Keywords: | Breakwaters Closed-form solution Perforated-wall Wave reflection Wave transmission |
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