Morphodynamic modeling of erodible laminar channels.
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.
Devauchelle
Olivier
O
Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie-Paris 6, CNRS-UMR 7190, Case 162, 4 place Jussieu, 75252 Paris Cédex 05, France.
Josserand
Christophe
C
Lagrée
Pierre-Yves
PY
Zaleski
Stéphane
S