Scenario simulating a radial dam break enclosed by a dry bathymetry ring.

\begin{align*} r &= \sqrt{(\frac{N}{2} - x)^2 + (\frac{N}{2} - y)^2}, \\ h(x, y, 0) &= \begin{cases} 1.1 & \text{if } r \leq{} \frac{N}{10} \\ 0.0 & \text{if } 2\frac{N}{10} \leq{} r \leq{} 3\frac{N}{10} \\ 1.0 & \text{otherwise} \\ \end{cases}, \\ hu(x, y, 0) &= 0.0, \\ hv(x, y, 0) &= 0.0, \\ b(x, y) &= \begin{cases} 1.2 & \text{if } 2\frac{N}{10} \leq{} r \leq{} 3\frac{N}{10} \\ 0.0 & \text{otherwise} \\ \end{cases}, \end{align*}

where \( (x, y) \in [0, N] \times [0, N] \) in meters.