Surface Instability in Windblown Sand

Details Surface Instability in Windblown Sand Surface Instability in Windblown Sand

1999-10-12

arxiv.org/abs/cond-mat/9910175v1

Physics

Condensed Matter

Materials Science

23 pages, 8 figures

Scientific paper

10.1103/PhysRevE.61.6750

We investigate the formation of ripples on the surface of windblown sand based on the one-dimensional model of Nishimori and Ouchi [Phys. Rev. Lett. 71, 197 (1993)], which contains the processes of saltation and grain relaxation. We carry out a nonlinear analysis to determine the propagation speed of the restabilized ripple patterns, and the amplitudes and phases of their first, second, and third harmonics. The agreement between the theory and our numerical simulations is excellent near the onset of instability. We also determine the Eckhaus boundary, outside which the steady ripple patterns are unstable.

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