| Type of document: |
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Articles in peer-reviewed journal |
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| Domain: |
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Mathematics/Numerical Analysis
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| Title: |
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A kinetic interpretation of the section-averaged Saint-Venant system for natural river hydraulics. |
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| Author(s): |
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N. Goutal 1, Jacques Sainte-Marie 1, 2 |
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| Research team(s): |
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| Abstract: |
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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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| Full text language: |
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English |
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| Journal title: |
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| International Journal for Numerical Methods in Fluids |
| Publisher |
Wiley-Blackwell |
| ISSN |
0271-2091 (eISSN : 1097-0363) |
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| Publication date: |
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2011 |
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| Audience: |
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international |
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| Commercial editor: |
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John Wiley & Sons Ltd. |
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| Volume: |
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67 |
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| Number: |
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7 |
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| Pagination: |
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914-938 |
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