A Fast and Compact Solver for the Shallow Water Equations

Lee, Richard; O'Sullivan, Carol

A Fast and Compact Solver for the Shallow Water Equations

Files

051-057.pdf (219.66 KB)

Date

2007

Authors

Lee, Richard
O'Sullivan, Carol

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.

        @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
}
}