This paper is a "fairly-low-math" summary/explenation of the Siggraph 1999 "Stable Fluids" paper by Jos Stam. As such it is an explenation of the Navier-Stokes equations and how they are used to produce good looking fluids for graphics purposes.

Contributions/Key ideas
 * Overview of Navier-Stokes equations
 * Description of how Stam translated them into something that can be simulated in a reasonable amount of time

Stam's Method overview
 * Start with NS equations
 * Update velocity field
 * main contribution of advection scheme to get expected values
 * diffuse velocity field
 * project to get rid of divergence - using "magic Helmholtz decomposition"
 * Similar steps for moving density around