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hal-00598932, version 2

A two time-scale model for tidal bed-load transport

Stéphane Cordier () 1, Carine Lucas () a, 1, Jean De Dieu Zabsonré () 2

Communications in Mathematical Sciences 10, 3 (2012) 875-888

Abstract: 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.

  • a –  Université d'Orléans
  • 1:  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
  • Université d'Orléans – CNRS : UMR7349
  • 2:  ISEA
  • Université Polytechnique de Bobo-Dioulasso
  • Domain : Mathematics/Numerical Analysis
  • Keywords : Shallow-Water Equations – bed-load transport – Exner equation – asymptotic developments – non-dimensional form – limit model – finite volumes scheme
  • Available versions :  v1 (2011-06-08) v2 (2012-04-11)
 
  • 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