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Issue		Eur. Phys. J. B Volume 10, Number 3, August_I 1999
Page(s)		543 - 548
DOI		10.1007/s100510050884

Eur. Phys. J. B 10, 543-548

A nonlinear model for aeolian sand ripples

A. Valance - F. Rioual

Groupe Matière Condensée et Matériaux, Université Rennes 1, 35042 Rennes Cedex, France
valance@truffaut.univ-rennes1.fr

Received 5 January 1999

Abstract
Starting from the phenomenological model for sand ripple formation developed in [1], we proposed a new interpretation in the light of recent experiments. Furthermore, we derive, close to the threshold of ripple instability, a nonlinear equation for the spatio-temporal evolution of the sand bed profile, which to leading order has a quadratic nonlinearity. This equation is identical to that derived recently on the basis of geometry and conservation law [2]. Our derivation connects the coefficients of the nonlinear equation to the underlying physical mechanisms (reptation length...). This equation reveals ripple structures which then undergo a coarsening process, as observed in wind tunnel experiment. Small, fast moving ripples are absorbed by larger, slower forms resulting in a growth of the mean wavelength.

PACS
83.70.Fn Granular solids - 81.05.Rm Porous materials; granular materials - 47.20.-k Hydrodynamic stability

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