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Communications in Mathematical Sciences 10, 3 (2012) 875-888
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A two time-scale model for tidal bed-load transport
Stéphane Cordier 1, Carine Lucas 1, Jean De Dieu Zabsonré 2
(09/2012)

The aim of this article is to derive a simplified sedimentation model thanks to an asymptotic analysis. We consider a two time scale erosion process due to tidal effects and we show that the approximation at the first order can model bed-load transport well. To this end, the simplified model is validated through numerical tests (evolution of a dune submitted to tidal effects in the ocean, run up near the coast) and compared to direct simulations that are very expensive in terms of computation time.
1 :  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans – CNRS : UMR7349
2 :  ISEA
Université Polytechnique de Bobo-Dioulasso
Mathématiques/Analyse numérique
Shallow-Water Equations – bed-load transport – Exner equation – asymptotic developments – non-dimensional form – limit model – finite volumes scheme
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