Flooding problem in a channel with three mounds

The three mounds in the channel \( \Omega = 75×30m^2 \), are defined by the function \( b(x, y) = max(0.0, m1, m2, m3) \) where

\begin{align*} m_1 &= 1.0 - 0.10 \sqrt{(x - 30.0)^2 + (y - 22.5)^2} \\ m_2 &= 1.0 - 0.10 \sqrt{(x - 30.0)^2 + (y - 7.50)^2} \\ m_3 &= 2.8 - 0.28 \sqrt{(x - 47.5)^2 + (y - 15.0)^2} \end{align*}

The flooding is triggered by a dam break at \( t = 0 s \).

Taken from https://doi.org/10.48550/arXiv.1607.04547