This book shows how to animate fully three-dimensional incompressible flow. It introduces all aspects of fluid simulation, from the math and algorithms to actual implementation. This edition emphasizes particles and covers the latest algorithms and techniques, including fluid surface reconstruction from particles; accurate, viscous-free surfaces for buckling, coiling, and rotating liquids; and evolving sub-grid turbulence for smoke animation. It also adds discussion on meshing, finite element methods, and vortex methods.