Dynamical models for sand ripples beneath surface waves

Details Dynamical models for sand ripples beneath surface waves Dynamical models for sand ripples beneath surface waves

2000-03-29

arxiv.org/abs/cond-mat/0003475v3

Phys. Rev. E (63), 066308 (2001) (8 pages).

Physics

Condensed Matter

9 pages. Shortened version of previous submission

Scientific paper

10.1103/PhysRevE.63.066308

We introduce order parameter models for describing the dynamics of sand ripple patterns under oscillatory flow. A crucial ingredient of these models is the mass transport between adjacent ripples, which we obtain from detailed numerical simulations for a range of ripple sizes. Using this mass transport function, our models predict the existence of a stable band of wavenumbers limited by secondary instabilities. Small ripples coarsen in our models and this process leads to a sharply selected final wavenumber, in agreement with experimental observations.

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