Simulations

All simulations shown here are using continuous finite elements for the approximation in space.

Dam break over three bumps with dispersive Serre--Saint-Venant equations.

Here we see the simulation of a dam break over three bump using the dispersive Serre--Saint-Venant equations.The computations were done with Proteus and visualization with Ipygany.

Solitary wave overtopping reef with conical island.

Here we see the propagation of solitary wave towards a triangular shelf with a conical island and the complicated nonlinear processes that occur after the wave breaks and hits the cone. This is a simulation of the experiments conducted at the O.H Hinsdale Wave Research Laboratory at Oregon State University. More details on the experiment can be found here: http://coastal.usc.edu/currents_workshop/problems/prob5.html. The computations were done with Proteus and visualization with Ipygany.

Collision of two of solitary waves

Collision of two solitary waves in a 1D channel, D = (0,1000m).

Ship wake waves in a rectangular channel.

Here we simulate ship wake waves in a rectangular channel, D = (0,60m)x(0,5m), using the shallow water equations. The effects of the ship were created with a pressure source term.

Lake Dunlap dam break near New Braunfels, Texas.

Here we simulate the breaking of the dam at Lake Dunlap that occured on May 14, 2019 using the shallow water equations. Here is a youtube video that shows the actual dam breaking: link

Solitary wave propagating towards conical island.

Here we see a solitary wave propagating towards a conical island where the wave breaks (or "gently spills") as it hits the island. We included thin cylinders to denote the location of the physical wave gauges that were used in the experiments. Details on the experiment can be found here: https://nctr.pmel.noaa.gov/benchmark/Laboratory/Laboratory_ConicalIsland/index.html We reproduce the case of the target amplitude to depth ratio (H/d) being equal 0.1.

Dam break over three bumps with Shallow Water equations.

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