Lee, RichardO'Sullivan, CarolJohn Dingliana and Fabio Ganovelli2014-02-012014-02-012007978-3-905673-65-4https://doi.org/10.2312/PE/vriphys/vriphys07/051-057This 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.Categories and Subject Descriptors (according to ACM CCS): I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism