The Art of Fluid Animation (Paperback)

Introduction

Observations, Equations, and Numbers
Beavers, Cave Persons, and Fire
From Caves to Greeks: Archimedes, Gold, and Medals
Long Curly Haired Mathematicians, the Abyss and the Airbrush

Euler?Newton Equations or Navier?Stokes Equations
Leonardo
Euler and Continuity
Incompressibility, Continuity, Helmholtz, and Hodge
Euler and the Motion of Fluids
Newton and Viscosity
Navier and Stokes and Their Equations
Boundaries, Boundaries, Boundaries, Boundaries, and Boundaries

The Early Days of Computational Fluid Dynamics

Kolmogorov and Turbulence

Introduction to Fluid Animation
Discretize! Bugs, Grids, and Bugs Moving through Grids

Intermezzi
Intermezzo Uno: Linear Systems
Intermezzo Due: The General Solution of a Linear System
Intermezzo Tre: Circulant Matrices and the Fourier Transform
Intermezzo Quattro: Numerical Solution of Linear Systems

A Simple Fluid Solver
A Math Horror Flick: Operator Splitting
Code Please?
Bugs Crawling on Donuts, the FFT, and ~60 Lines of C Code
Four-Dimensional Turbulent Vector Fields and Turbulence
Decorating Fluids

The Little Computers Who Can Handle Fluids

The Smart Phones Who Can Handle Fluids

Fluid FX: Version 2.0 of Autodesk Fluid

Show Time! MAYA Fluid Effects

Fluids on Arbitrary Surfaces

Control Freaks! How to Make Fluids Do What We Want
Shooting Cannon Balls in Two Dimensions
Computer Optimizers
The Ad, the Joint, and the Path Back to the Optimizer

Real Experiments, Computer Experiments, and Validation
Spheres Are Such a Drag
Curly Flows behind Spheres, Wavy Flows in Tubes, and Turbulent Plumes between Plates

Epilogue: Let’s Call It Quits