Dynamical models for sand ripples beneath surface waves
arXiv:cond-mat/0003475 · doi:10.1103/PhysRevE.63.066308
Abstract
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.
9 pages. Shortened version of previous submission
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- Coarsening of Sand Ripples in Mass Transfer Models with Extinction