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GPU computing for shallow water flow simulation based on finite volume schemes

Manuel J. Castro, Sergio Ortega, Marc de la Asuncion, Jose M. Mantas, Jose M. Gallardo
Dpto. de Analisis Matematico, Universidad de Malaga, Campus de Teatinos s/n, 29080 Malaga, Spain
Comptes Rendus Mecanique (30 December 2010)

@article{castro2010gpu,

   title={GPU computing for shallow water flow simulation based on finite volume schemes},

   author={Castro, M.J. and Ortega, S. and de la Asuncion, M. and Mantas, J.M. and Gallardo, J.M.},

   journal={Comptes Rendus M{‘e}canique},

   issn={1631-0721},

   year={2010},

   publisher={Elsevier}

}

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This article is a review of the work that we are carrying out to efficiently simulate shallow water flows. In this paper, we focus on the efficient implementation of path-conservative Roe type high-order finite volume schemes to simulate shallow flows that are supposed to be governed by the one-layer or two-layer shallow water systems, formulated under the form of a conservation law with source terms. The implementation of the scheme is carried out on Graphics Processing Units (GPUs), thus achieving a substantial improvement of the speedup with respect to normal CPUs. Finally, some numerical experiments are presented.
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