Fluid Simulation Shader

I used the following sources to write this simulation:

Real-time ink simulation using a grid-particle method
Fast Fluid Dynamics Simulation on the GPU - a very well written tutorial about programming the Navier-Stokes equations on a GPU.
Stable Fluids - a paper about numerical methods for evaluating Navier-Stokes on a discrete grid.

By Amanda Ghassaei, code on Github.