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Modelling rollers for shallow water flows

Thual, Olivier Modelling rollers for shallow water flows. (2013) Journal of Fluid Mechanics, 728. 1-4. ISSN 0022-1120

(Document in English)

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Official URL: http://dx.doi.org/10.1017/jfm.2013.238


Hydraulic jumps, roll waves or bores in open channel flows are often treated as singularities by hydraulicians while slowly varying shallow water flows are described by continuous solutions of the Saint-Venant equations. Richard & Gavrilyuk (J. Fluid Mech., vol. 725, 2013, pp. 492–521) have enriched this model by introducing an equation for roller vorticity in a very elegant manner. This new model matches several experimental results that have resisted theoretical approaches for decades. This is the case of the roller of a stationary hydraulic jump as well as the oscillatory instability that the jump encounters when the Froude number is increased. The universality of their approach as well as its convincing comparisons with experimental results open the way for significant progress in the modelling of open channel flows.

Item Type:Article
Additional Information:Thanks to Cambridge University Press editor. The definitive version is available at http://journals.cambridge.org The original PDF of the article can be found at Journal of Fluid Mechanics website : http://dx.doi.org/10.1017/jfm.2013.238
HAL Id:hal-00960252
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:16 Sep 2013 08:14

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