These are preliminary results for a Mach 3 flow around a cylinder for the compressible Euler Equations using the Van der Waals equation of state. The computations were done using ryujin with about 2.4 million Q_1 nodes. This work is done in collaboration with Bennett Clayton.
Here we see the simulation of a dam break over three bump using the dispersive Serre-Green-Naghdi equations.The computations were done with Proteus and visualization with Ipygany.
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 solitary waves in a 1D channel, D = (0,1000m).
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.
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
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.
Here we see the classical shallow water dam break over three bumps.