### Summary This paper is an introduction to the Navier-Stokes equations and the methods proposed by the graphics community (up through Stam's Stable Fluids paper) for solving them. ### Problem This reading gives an introduction to the concepts used in the particle level set method and a few of the difficulties of implemtentation. ### Methods Used This paper gives a method for using a simultaneous particle simulation to correct numerical inaccuracies in a level set simulation when both are advected by the same velocity field ### Key Ideas * Basic level set equations * Correcting level sets with randomly scattered particles near the interface