# American Institute of Mathematical Sciences

February  2015, 8(1): 151-168. doi: 10.3934/dcdss.2015.8.151

## Two-Scale numerical simulation of sand transport problems

 1 Université Alioune Diop de Bambey, UFR S.A.T.I.C, BP 30 Bambey (Sénégal), Ecole Doctorale de Mathématiques et Informatique, Laboratoire de Mathématiques de la Décision et d'Analyse Numérique, (L.M.D.A.N) F.A.S.E.G)/F.S.T., Senegal 2 Université de Bretagne-Sud, LMBA - UMR6205, Centre Yves Coppens, Campus de Tohannic, F-56017, Vannes Cedex, France 3 Université Cheikh Anta Diop de Dakar, BP 16889 Dakar Fann, Ecole Doctorale de Mathématiques et Informatique, Laboratoire de Mathématiques de la Décision et d'Analyse Numérique, (L.M.D.A.N) F.A.S.E.G, Senegal

Received  April 2013 Revised  September 2013 Published  July 2014

In this paper we consider the model built in [3] for short term dynamics of dunes in tidal area. We construct a Two-Scale Numerical Method based on the fact that the solution of the equation which has oscillations Two-Scale converges to the solution of a well-posed problem. This numerical method uses on Fourier series.
Citation: Ibrahima Faye, Emmanuel Frénod, Diaraf Seck. Two-Scale numerical simulation of sand transport problems. Discrete & Continuous Dynamical Systems - S, 2015, 8 (1) : 151-168. doi: 10.3934/dcdss.2015.8.151
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