The January issue of the Notices of the AMS features a nice article by Gene Wayne titled "Vortices and Two-Dimensional Fluid Motion". Here are some of the links mentioned in the article and a subjective selection of a few further links.

NASA’s Earth Observatory Aleutian islands

Maarten Rutgers fluid gallery

TU Eindhoven fluid lab

Some articles of Gene Wayne and Thierry Gallay (Gene's and Thierry Gallay's publications pages.)

• T. Gallay and E.C. Wayne. Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on $R^2$. Arch. Ration. Mech. Anal. 163, no. 3 (2002), 209–258.
• T. Gallay and E.C. Wayne. Global stability of vortex solutions of the two-dimensional Navier-Stokes equation. Comm. Math. Phys. 255, no. 1 (2005), 97–129.

Vortex merger presentation by Maziar Hemati.


Some other web-resources on 2D fluids

• Fajan's group in Berkeley. Decay of turbulence movie.

• Upcoming conference on fluids.
  
  

• Planar fluid on hemisphere: Jupiter's storms modelled on a soap bubble by Hamid Kellay. PRL 100, 144501 (2008). See also this Reports on Progress in Physics from 2002.

  
  
  

• Periodic leapfrogging of vortices... Details on simulation in YouTube. There are various other "leapfrogging" simulations on YouTube, for instance here.

  
  
  
• Wikipedia on Navier-Stokes equation, on vorticity and on Kelvin-Helmholtz instability.
  
  
• For fun: game with 2D fluid core... "Vessel".

3D:

Vortex rings...

Assembled by J.D.M. Rademacher