A Fast and Compact Solver for the Shallow Water Equations

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Date
2007
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Volume Title
Publisher
The Eurographics Association
Abstract
This paper presents a fast and simple method for solving the shallow water equations. The water velocity and height variables are collocated on a uniform grid and a novel, unified scheme is used to advect all quantities together. Furthermore, we treat the fluid as weakly compressible to avoid solving a pressure Poisson equation. We sacrifice accuracy and unconditional stability for speed, but we show that our algorithm is sufficiently stable and fast enough for real-time applications.
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@inproceedings{
:10.2312/PE/vriphys/vriphys07/051-057
, booktitle = {
Workshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2007)
}, editor = {
John Dingliana and Fabio Ganovelli
}, title = {{
A Fast and Compact Solver for the Shallow Water Equations
}}, author = {
Lee, Richard
and
O'Sullivan, Carol
}, year = {
2007
}, publisher = {
The Eurographics Association
}, ISBN = {
978-3-905673-65-4
}, DOI = {
/10.2312/PE/vriphys/vriphys07/051-057
} }
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