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Closed-form solutions for wave reflection and transmission by vertical slotted barrier
Authors:Kyung-Duck Suh  Chang-Hwan Ji  Bum Hyoung Kim
Institution: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
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.
Keywords:Breakwaters  Closed-form solution  Perforated-wall  Wave reflection  Wave transmission
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