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Université d'Orléans |  |
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Université d'Orléans | |
| HAL: hal-00598932, version 2 |
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| Communications in Mathematical Sciences 10, 3 (2012) 875-888 |
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| Available versions: | v1 (2011-06-08) | v2 (2012-04-11) |
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| A two time-scale model for tidal bed-load transport |
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| Stéphane Cordier 1Carine Lucas 1 |
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| (2012-09) |
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| 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. |
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| 1: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| 2: | ISEA |
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Université Polytechnique de Bobo-Dioulasso |
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| Subject | : | Mathematics/Numerical Analysis |
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| Shallow-Water Equations – bed-load transport – Exner equation – asymptotic developments – non-dimensional form – limit model – finite volumes scheme |
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| hal-00598932, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00598932 | |
| oai:hal.archives-ouvertes.fr:hal-00598932 | |
| From: Carine Lucas | |
| Submitted on: Tuesday, 10 April 2012 22:18:26 | |
| Updated on: Wednesday, 11 April 2012 08:23:52 | |
