A Point-based Method for Animating Incompressible Flow
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
ACM SIGGRAPH / Eurographics Association
Abstract
In this paper, we present a point-based method for animating incompressible flow. The advection term is handled by moving the sample points through the flow in a Lagrangian fashion. However, unlike most previous approaches, the pressure term is handled by performing a projection onto a divergence-free field. To perform the pressure projection, we compute a Voronoi diagram with the sample points as input. Borrowing from Finite Volume Methods, we then invoke the divergence theorem and ensure that each Voronoi cell is divergence free. To handle complex boundary conditions, Voronoi cells are clipped against obstacle boundaries and free surfaces. The method is stable, flexible and combines many of the desirable features of point-based and grid-based methods. We demonstrate our approach on several examples of splashing and streaming liquid and swirling smoke.
Description
@inproceedings{10.1145:1599470.1599502,
booktitle = {Eurographics/ ACM SIGGRAPH Symposium on Computer Animation},
editor = {Eitan Grinspun and Jessica Hodgins},
title = {{A Point-based Method for Animating Incompressible Flow}},
author = {Sin, Funshing and Bargteil, Adam W. and Hodgins, Jessica K.},
year = {2009},
publisher = {ACM SIGGRAPH / Eurographics Association},
ISSN = {1727-5288},
ISBN = {978-1-60558-610-6},
DOI = {10.1145/1599470.1599502}
}