Abstract: A commodity-type graphics card (GPU) is used to simulate nonlinear water waves described by a system of balance laws called the shallow-water system. To solve this hyperbolic system we use explicit high-resolution central-upwind schemes, which are particularly well suited for exploiting the parallel processing power of the GPU. In fact, simulations on the GPU are found to run 15--30 times faster than on a CPU. The simulated cases involve dry-bed zones and non-trivial bottom topographies, which are real challenges to the robustness and accuracy of the discretization.
Conservation Laws Preprint Server <conservation@math.ntnu.no> Last modified: Thu Sep 8 09:11:39 MEST 2005