A Simple Numerical Method on the Partial Reflection and Transmission of Water Waves in the Hyperbolic Mild-Slope Equation

Chun, J.; Song, G.C., and Ahn, K., 2013. A simple numerical method on the partial reflection and transmission of water waves in the hyperbolic mild-slope equation. This article presents a new numerical method for the partial reflection and transmission of water waves in the hyperbolic mild-slope equ...

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Bibliographic Details
Published in:Journal of coastal research 2013-05, Vol.29 (3), p.717-726
Main Authors: Chun, Jeho, Song, Chang Geun, Ahn, Kyungmo
Format: Article
Language:English
Subjects:
breakwater
Breakwaters
Coastal
Coefficients
Friction factor
Harbors
hyperbolic mild-slope equation
Mathematical analysis
Numerical analysis
Numerical methods
Partial reflection
Reflectance
Reflection
RESEARCH PAPERS
transmission
Water depth
Water waves
Wave reflection
Waves
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Summary:Chun, J.; Song, G.C., and Ahn, K., 2013. A simple numerical method on the partial reflection and transmission of water waves in the hyperbolic mild-slope equation. This article presents a new numerical method for the partial reflection and transmission of water waves in the hyperbolic mild-slope equation. When the reflection or transmission coefficients of the breakwater are known, the present numerical method can be used to calculate the partial reflection and transmission around it in a simple manner. This method has been validated through several numerical experiments. The computed results showed that the present model successfully predicted the partial reflection and transmission of the water waves from the breakwater, regardless of the wave periods under the constraint of the reflection coefficient >0.2. Numerical experiments have also been conducted in permeable, semi-infinite breakwater problem with various reflection and transmission coefficients under normal and oblique incident wave conditions. The numerical results were compared with analytic solutions of Yu (1995) and McIver (1999), which were found to be in good agreement between the numerical results and the analytical solutions.
ISSN:0749-0208
1551-5036
DOI:10.2112/JCOASTRES-D-12-00007.1