Hydromorpho: A coupled model for unsteady Stokes/Exner equations and numerical results with Feel++ library

Abstract : We propose to couple the Exner equation with the Stokes equations to model the bedload sediment in geophysical flows . This work is a preliminary study to directly model the hydrodynamic flow by the unsteady Stokes equation instead of the classical shallow water equation. We focus in this proceeding on the coupling applying fluid structure interaction approach to morphodynamical behavior. In other words, we follow the approach of fluid interaction models replacing the structure equation by the Exner equation. The aim of this work is to validate the proposed procedure. These equations are solved by finite element method using the library FEEL++.
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Nora Aissiouene, Tarik Amtout, Matthieu Brachet, Emmanuel Frénod, Romain Hild, et al.. Hydromorpho: A coupled model for unsteady Stokes/Exner equations and numerical results with Feel++ library. ESAIM: Proceedings and Surveys, EDP Sciences, 2016, CEMRACS 2015: Coupling multi-physics models involving fluids, 55, pp.23-40. ⟨http://www.esaim-proc.org/articles/proc/abs/2016/03/proc16552/proc16552.html⟩. ⟨10.1051/proc/201655023⟩. ⟨hal-01266223v2⟩

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