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Multilayer Saint-Venant Equations over movable beds

Emmanuel Audusse 1 Fayssal Benkhaldoun 1 Jacques Sainte-Marie 2, 3 M. Seaid 4
1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 Saint-Venant - Laboratoire d'Hydraulique Saint-Venant / Saint-Venant Laboratory for Hydraulics
3 MACS - Modeling, analysis and control in computational structural dynamics
Inria Paris-Rocquencourt
4 Durham University
Abstract : We introduce a multilayer model to solve three-dimensional sediment transport by wind-driven shallow water flows. The proposed multilayer model avoids the expensive Navier-Stokes equations and captures stratified horizontal flow velocities. Forcing terms are included in the system to model momentum exchanges between the considered layers. The topography frictions are included in the bottom layer and the wind shear stresses are acting on the top layer. To model the bedload transport we consider an Exner equation for morphological evolution accounting for the velocity field on the bottom layer. The coupled equations form a system of conservation laws with source terms. As a numerical solver, we apply a kinetic scheme using the finite volume discretization. Preliminary numerical results are presented to demonstrate the performance of the proposed multilayer model and to confirm its capability to provide efficient simulations for sediment transport by wind-driven shallow water flows. Comparison between results obtained using the multilayer model and those obtained using the single-layer model are also presented.
Keywords : Kinetic schemes. Sediment transport Kinetic schemes Multilayer model Saint-Venant equations
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Journal articles
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https://hal.inria.fr/inria-00551486
Contributor : Jacques Sainte-Marie <>
Submitted on : Monday, January 3, 2011 - 7:25:57 PM
Last modification on : Tuesday, May 5, 2020 - 1:03:20 PM

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  • HAL Id : inria-00551486, version 1

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PARISTECH | ENPC | CNRS | INRIA | INSMI | LAGA | ENPC-LHSV | UNIV-PARIS8 | UNIV-PARIS13 | TDS-MACS | USPC | CEREMA | EDF | GALILE | UNIV-PARIS-LUMIERES

Citation

Emmanuel Audusse, Fayssal Benkhaldoun, Jacques Sainte-Marie, M. Seaid. Multilayer Saint-Venant Equations over movable beds. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2011, 15 (4), pp.917-934. ⟨inria-00551486⟩

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