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Sediment transport modelling : Relaxation schemes for Saint-Venant -- Exner and three layer models

Emmanuel Audusse1, 2, Christophe Chalons3, 4, Olivier Delestre5, 6, Nicole Goutal7, Magali Jodeau7, Jacques Sainte-Marie8, 9, Jan Giesselmann10, Georges Sadaka11

In this note we are interested in the modelling of sediment transport phenomena. We mostly focus on bedload transport and we do not consider suspension sediment processes. We first propose a coupled numerical scheme for the classical Saint-Venant -- Exner model. It is based on a relaxation approach and it works with all sediment flux function. We exhibit that this coupled approach is more stable than the splitting approach that is mostly used in industrial softwares. Then we derive an original three layers model in order to overcome the difficulties that are encountered when using the classical Exner approach and we write a related relaxation model.

1:	LAGA - Laboratoire Analyse, Géométrie et Application
2:	INRIA Rocquencourt - BANG
3:	EM2C - Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion
4:	LJLL - Laboratoire Jacques-Louis Lions
5:	MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
6:	JAD - Laboratoire Jean Alexandre Dieudonné
7:	Saint-Venant - Laboratoire d'Hydraulique Saint-Venant / Saint-Venant Laboratory for Hydraulics
8:	INRIA Rocquencourt - MACS
9:	CETMEF - Centre d'Études Techniques Maritimes et Fluviales
10:	Department of Mathematics [Stuttgart]
11:	LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

Keyword(s) : Sediment transport modelling – shallow water flows – Exner equation – relaxation schemes

hal-00674363, version 1

http://hal.archives-ouvertes.fr/hal-00674363

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From: Emmanuel Audusse <>

Submitted on: Monday, 27 February 2012 11:14:30

Updated on: Thursday, 8 March 2012 15:33:49