Using the techniques from class, build your own 1-D shallow water model on a staggered grid. In a 1000 m channel, the water depth is 15 m on the left half and 5 m on the right half, separated by a dam at the center. Use this as the initial condition to answer the following questions:

(1) Does the result look like a wave?

(2) How did you choose your spatial resolution and your time step?

(3) Could you try modifying the bottom topography and visualize how the model responds? Place the dam break near the left end and modify the bottom topography near the right end.