Solitary wave overtopping reef with conical island.

Here we see a the propagation of solitary wave towards a triangular shelf with a conical island and the complicated nonlinear processes that occur when the wave breaks and hits the cone.

Dam break over three bumps with modified Green-Naghdi equations.

Here we see the classical shallow water dam break over three bumps, but using the modified Green-Naghdi equations instead. Note that immediately after the dam breaks, we do not see the classical expansion type wave that we see with the shallow water equations. We can clearly the dispersive effects throughout the simulation.

Dam break over three bumps with Shallow Water equations.

Here we see the classical shallow water dam break over three bumps.

Solitary wave overtopping seawall.

Comparison of modified Green-Naghdi model and Shallow Water model in 1D.

Solitary wave overtopping conical island.

Here we see a solitary wave overtopping a conical island where
we used the same modified Green-Naghdi model. As a consequence of
dispersion effects, we see the wave reforming after it hits the island.