A nonlinear model for aeolian sand ripples - Université de Rennes Accéder directement au contenu
Article Dans Une Revue The European Physical Journal B: Condensed Matter and Complex Systems Année : 1999

A nonlinear model for aeolian sand ripples

Résumé

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 pro file, 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.

Dates et versions

hal-04082442 , version 1 (26-04-2023)

Identifiants

Citer

Alexandre Valance, François Rioual. A nonlinear model for aeolian sand ripples. The European Physical Journal B: Condensed Matter and Complex Systems, 1999, 10 (3), pp.543-548. ⟨10.1007/s100510050884⟩. ⟨hal-04082442⟩
17 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More