Simulation and visualization of the Saint-Venant system using GPUs

Authors:
André R. Brodtkorb;Trond R. Hagen;Knut-Andreas Lie;Jostein R. Natvig
Affiliations:
SINTEF ICT, Dept. Appl. Math., P.O. Box 124, Blindern, 0314, Oslo, Norway;SINTEF ICT, Dept. Appl. Math., P.O. Box 124, Blindern, 0314, Oslo, Norway;SINTEF ICT, Dept. Appl. Math., P.O. Box 124, Blindern, 0314, Oslo, Norway;SINTEF ICT, Dept. Appl. Math., P.O. Box 124, Blindern, 0314, Oslo, Norway
Venue:
Computing and Visualization in Science
Year:
2010

Citing 0
Cited 2

Shallow water simulations on multiple GPUs

PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems

Journal of Parallel and Distributed Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

We consider three high-resolution schemes for computing shallow-water waves as described by the Saint-Venant system and discuss how to develop highly efficient implementations using graphical processing units (GPUs). The schemes are well-balanced for lake-at-rest problems, handle dry states, and support linear friction models. The first two schemes handle dry states by switching variables in the reconstruction step, so that bilinear reconstructions are computed using physical variables for small water depths and conserved variables elsewhere. In the third scheme, reconstructed slopes are modified in cells containing dry zones to ensure non-negative values at integration points. We discuss how single and double-precision arithmetics affect accuracy and efficiency, scalability and resource utilization for our implementations, and demonstrate that all three schemes map very well to current GPU hardware. We have also implemented direct and close-to-photo-realistic visualization of simulation results on the GPU, giving visual simulations with interactive speeds for reasonably-sized grids.