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A simple three-wave Approximate Riemann Solver for the Saint-Venant–Exner equations

Abstract : The Saint-Venant–Exner equations are widely used in the literature and industrial codes to model the bedload sediment transport. In industrial codes, the resolution of this system of equations is mostly approached by a splitting method which allows a weak coupling between the hydraulic and morphodynamic models but may suffer from stability issues. In recent works, many authors proposed alternative finite volume methods based on a strong coupling to cure this problem. This work pursues two objectives : first we propose a numerical scheme to approximate the solution of the coupled model with a Godunov-type method based on a three-wave Approximate Riemann Solver (ARS) and, second, we extend the purpose to exhibit what is the minimal coupling that ensures the stability of the global numerical process when dealing with collocated finite volume schemes.
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https://hal.archives-ouvertes.fr/hal-01204754
Contributor : Philippe Ung <>
Submitted on : Thursday, September 24, 2015 - 3:05:20 PM
Last modification on : Thursday, March 26, 2020 - 9:24:59 PM
Document(s) archivé(s) le : Tuesday, December 29, 2015 - 9:50:02 AM

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  • HAL Id : hal-01204754, version 1

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Emmanuel Audusse, Christophe Chalons, Philippe Ung. A simple three-wave Approximate Riemann Solver for the Saint-Venant–Exner equations. 2015. ⟨hal-01204754v1⟩

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