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Keywords = Block-Uniform Quadtree grid (BUQ)

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27 pages, 16460 KB  
Article
A GPU-Accelerated Shallow-Water Scheme for Surface Runoff Simulations
by Francesca Aureli, Federico Prost, Renato Vacondio, Susanna Dazzi and Alessia Ferrari
Water 2020, 12(3), 637; https://doi.org/10.3390/w12030637 - 26 Feb 2020
Cited by 42 | Viewed by 6682
Abstract
The capability of a GPU-parallelized numerical scheme to perform accurate and fast simulations of surface runoff in watersheds, exploiting high-resolution digital elevation models (DEMs), was investigated. The numerical computations were carried out by using an explicit finite volume numerical scheme and adopting a [...] Read more.
The capability of a GPU-parallelized numerical scheme to perform accurate and fast simulations of surface runoff in watersheds, exploiting high-resolution digital elevation models (DEMs), was investigated. The numerical computations were carried out by using an explicit finite volume numerical scheme and adopting a recent type of grid called Block-Uniform Quadtree (BUQ), capable of exploiting the computational power of GPUs with negligible overhead. Moreover, stability and zero mass error were ensured, even in the presence of very shallow water depth, by introducing a proper reconstruction of conserved variables at cell interfaces, a specific formulation of the slope source term and an explicit discretization of the friction source term. The 2D shallow water model was tested against two different literature tests and a real event that recently occurred in Italy for which field data is available. The influence of the spatial resolution adopted in different portions of the domain was also investigated for the last test. The achieved low ratio of simulation to physical times, in some cases less than 1:20, opens new perspectives for flood management strategies. Based on the result of such models, emergency plans can be designed in order to achieve a significant reduction in the economic losses generated by flood events. Full article
(This article belongs to the Special Issue Research on Mathematical Models of Floods)
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