Morphodynamic modeling of erodible laminar channels - Sorbonne Université Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2007

Morphodynamic modeling of erodible laminar channels

Abstract

A two-dimensional model for the erosion generated by viscous free-surface flows, based on the shallow-water equations and the lubrication approximation, is presented. It has a family of self-similar solutions for straight erodible channels, with an aspect ratio that increases in time. It is also shown, through a simplified stability analysis, that a laminar river can generate various bar instabilities very similar to those observed in natural rivers. This theoretical similarity reflects the meandering and braiding tendencies of laminar rivers indicated by F. Métivier and P. Meunier [J. Hydrol. 27, 22 (2003)]. Finally, we propose a simple scenario for the transition between patterns observed in experimental erodible channels.
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Dates and versions

hal-01449840 , version 1 (12-04-2017)

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Olivier Devauchelle, Christophe Josserand, Pierre-Yves Lagrée, Stéphane Zaleski. Morphodynamic modeling of erodible laminar channels. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2007, 76 (5), pp.056318. ⟨10.1103/PhysRevE.76.056318⟩. ⟨hal-01449840⟩
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