Fluid Control Using the Adjoint Method
Antoine McNamaraAdrien TreuilleZoran PopovićJos Stam
ACM Transactions on Graphics / SIGGRAPH 2004 (2004)

We describe a novel method for controlling physics-based fluid simulations through gradient-based nonlinear optimization. Using a technique known as the adjoint method, derivatives can be computed efficiently, even for large 3D simulations with millions of control parameters. In addition, we introduce the first method for the full control of free-surface liquids. We show how to compute adjoint derivatives through each step of the simulation, including the fast marching algorithm, and describe a new set of control parameters specifically designed for liquids.

Antoine McNamara, Adrien Treuille, Zoran Popović, Jos Stam (2004). Fluid Control Using the Adjoint Method. ACM Transactions on Graphics / SIGGRAPH 2004, 23(3).

author = "Antoine McNamara and Adrien Treuille and Zoran Popovi\'{c} and Jos Stam",
title = "Fluid Control Using the Adjoint Method",
year = "2004",
month = aug,
journal = "ACM Transactions on Graphics / SIGGRAPH 2004",
volume = "23",
number = "3",