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| HAL : inria-00551487, version 1 |
| DOI : 10.1002/fld.2401 |
| Voir la fiche détaillée |  BibTeX,EndNote,... |
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| International Journal for Numerical Methods in Fluids 67, 7 (2011) 914-938 |
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| A kinetic interpretation of the section-averaged Saint-Venant system for natural river hydraulics. |
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| N. Goutal 1Jacques Sainte-Marie 1, 2 |
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| (2011) |
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| The classical Saint-Venant system is well suited for the modeling of dam breaks, hydraulic jumps, reservoir emptying, flooding, etc. For many applications, the extension of the Saint-Venant system to the case of non rectangular channels is necessary and this section-averaged Saint-Venant system exhibits additional source terms. The main difficulty of these equations consists in the discretization of these source terms. In this paper we propose a kinetic interpretation for the section averaged Saint-Venant system and we derive an associated numerical scheme. The numerical scheme~-- 2$^{nd}$ order in space and time~-- preserves the positivity of the water height, and is well-balanced. Numerical results including comparisons with analytic and experimental test problems illustrate the accuracy and the robustness of the numerical algorithm |
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| 1 : | Laboratoire d'Hydraulique Saint-Venant / Saint-Venant Laboratory for Hydraulics (Saint-Venant) |
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Université Paris-Est Créteil Val-de-Marne (UPEC) – Ecole des Ponts ParisTech – EDF – CETMEF |
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| 2 : | MACS (INRIA Rocquencourt) |
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INRIA |
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| Domaine | : | Mathématiques/Analyse numérique |
| inria-00551487, version 1 | |
| http://hal.inria.fr/inria-00551487 | |
| oai:hal.inria.fr:inria-00551487 | |
| Contributeur : Jacques Sainte-Marie | |
| Soumis le : Lundi 3 Janvier 2011, 19:29:25 | |
| Dernière modification le : Jeudi 22 Décembre 2011, 15:09:03 | |
