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A Roe finite-volume scheme for 1D shallow water flows : wetting and drying simulation

Abdou Wahidi Bello 1 Aurélien Goudjo 1 Côme Goudjo 1 Hervé Guillard 2 Jean-Antoine Desideri 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
2 SMASH - Simulation, modeling and analysis of heterogeneous systems
CRISAM - Inria Sophia Antipolis - Méditerranée , Université de Provence - Aix-Marseille 1
Abstract : A finite-volume method for the one-dimensional shallow-water equations including topographic source terms is presented. Exploiting an original idea by Leroux, the system of partial-differential equations is completed by a trivial equation for the bathymetry. By applying a change of variable, the system is given a celerity-speed formulation, and linearized. As a result, an approximate Riemann solver preserving the positivity of the celerity can be constructed, permitting wetting and drying flow simulations to be performed. Finally, the simulation of numerical test cases is presented.
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https://hal.inria.fr/inria-00095492
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Submitted on : Wednesday, December 6, 2006 - 11:29:56 AM
Last modification on : Thursday, January 20, 2022 - 4:13:30 PM
Long-term archiving on: : Thursday, September 23, 2010 - 4:36:18 PM

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Abdou Wahidi Bello, Aurélien Goudjo, Côme Goudjo, Hervé Guillard, Jean-Antoine Desideri. A Roe finite-volume scheme for 1D shallow water flows : wetting and drying simulation. [Rapport de recherche] RR-6046, INRIA. 2006, pp.24. ⟨inria-00095492v3⟩

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