Dynamical models for sand ripples beneath surface waves
凝聚态物理
2009-10-31 v3 斑图形成与孤子
摘要
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.
引用
@article{arxiv.cond-mat/0003475,
title = {Dynamical models for sand ripples beneath surface waves},
author = {Ken Haste Andersen and Marie-Line Chabanol and Martin van Hecke},
journal= {arXiv preprint arXiv:cond-mat/0003475},
year = {2009}
}
备注
9 pages. Shortened version of previous submission