In this scenario, the initial wave is modeled via the following analytic definition by Synolakis:

\begin{eqnarray*} \eta(x, y, 0) = \frac{A}{h_0} \text{sech}^2(\gamma(x - 2.5m)), \end{eqnarray*}

where \( A = 0.064m \) is the wave amplitude, \( h_0 = 0.32m \) is the initial still water level, and

\begin{eqnarray*} \gamma = \frac{3A}{4h_0}. \end{eqnarray*}

The island is a cone given as

\begin{eqnarray*} b(x, y) = 0.93 \left(1 - \frac{r}{r_c} \right) \text{if } r \leq{} r_c, \end{eqnarray*}

here \( r = \sqrt{(x - x_c)^2 + (y - y_c)^2} \), \( r_c = 3.6m \), and is centered at \( (x_c, y_c) = (12.5, 15)m \).

The cone is installed on a flat bathymetry.