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.