Simulations of the Euler Equations Can Be Fun!

Here we present some curiosities. Sometimes the combination of creativity, computer simulation and visualization can lead to quite nice results. Not that we have spent much time on this, but.....

A ram: Same as for the shock-bubble problem, but now with the circle replaced by three triangles with densities 0.1, 10.0, and 0.01, from top to bottom (see the figure). The domain is now [-1.0,1.0]x[-0.1,1.5].

The solution is computed using a 1000x800 grid, disregarding the symmetry. To reach final computational time 0.40 we have used 500 equally spaced time steps.

Click on the link(s) below to see snapshots of the density depicted as emulated Schlieren images. (The images are rescaled down to half the acutal size).

START the slide show.

[ t=0.00 | t=0.05 | t=0.10 | t=0.15 | t=0.20 | t=0.25 | t=0.30 | t=0.35 | t=0.40 ]

We also provide two Schlieren movies of a 600x480 grid simulation. The full-resolution movie may run slow on your computer. If so, look at the movie with images scaled to the half size instead.

And finally, Harald and I proudly present:

You know what I mean, say no more, say no more, say no more!

A full resolution movie is also available. See also the forward Schlieren movie in full or half resolution.