Two-Scale numerical simulation of sand transport problems

Ibrahima Faye; Emmanuel Frénod; Diaraf Seck

doi:10.3934/dcdss.2015.8.151

Article Contents

2015, Volume 8, Issue 1: 151-168. Doi: 10.3934/dcdss.2015.8.151

This issue Previous Article Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems Next Article An exponential integrator for a highly oscillatory vlasov equation

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.
2.
Université de Bretagne-Sud, LMBA - UMR6205, Centre Yves Coppens, Campus de Tohannic, F-56017, Vannes Cedex
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

Received: April 2013

Revised: September 2013

Published: February 2015

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 35K65, 35B25, 35B10; Secondary: 92F05, 86A60.

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References

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