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Modelling rollers for shallow water flows

Published online by Cambridge University Press:  01 July 2013

O. Thual
O. Thual*
Affiliation:
Université de Toulouse; INPT, UPS; IMFT, Allée Camille Soula, F-31400 Toulouse, France CNRS; IMFT; F-31400 Toulouse, France
*
†Email address for correspondence: thual@imft.fr
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Abstract

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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.

JFM classification

Waves/Free-surface Flows: Channel flow Geophysical and Geological Flows: Shallow water flows Turbulent Flows: Shear layer turbulence
Type
Focus on Fluids
Information
Journal of Fluid Mechanics , Volume 728 , 10 August 2013 , pp. 1 - 4
Copyright
©2013 Cambridge University Press 

References

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