filename     : Kim08.pdf
entry        : inproceedings
conference   : SIGGRAPH 2008, Los Angeles, USA, 11 August - 15 August 2008
pages        : 50.1--50.6
year         : 2008
month        : August
title        : Wavelet Turbulence for Fluid Simulation
subtitle     :
author       : Theodore Kim, Nils Thuerey, Doug James, Markus Gross
booktitle    : SIGGRAPH '08: ACM SIGGRAPH 2008 papers
location     : Los Angeles, California
ISSN/ISBN    :
editor       : John C. Hart, Greg Turk
publisher    : ACM Press / ACM SIGGRAPH
publ.place   : New York, NY, USA
volume       : 27
issue        : 3
language     : English
keywords     : turbulence, wavelet noise, fluids, simulation control
abstract     : 
We present a novel wavelet method for the simulation of fluids at high spatial
resolution. The algorithm enables large- and small-scale detail to be edited
separately, allowing high-resolution detail to be added as a post-processing
step. Instead of solving the Navier-Stokes equations over a highly refined
mesh, we use the wavelet decomposition of a low-resolution simulation to
determine the location and energy characteristics of missing high-frequency
components. We then synthesize these missing components using a novel
incompressible turbulence function, and provide a method to maintain the
temporal coherence of the resulting structures. There is no linear system to
solve, so the method parallelizes trivially and requires only a few auxiliary
arrays. The method guarantees that the new frequencies will not interfere with
existing frequencies, allowing animators to set up a low resolution simulation
quickly and later add details without changing the overall fluid motion.