Transverse instability of dunes

Details Transverse instability of dunes Transverse instability of dunes

2011-09-22

arxiv.org/abs/1109.4822v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures; To appear in Physical Review Letters

Scientific paper

The simplest type of dune is the transverse one, which propagates with invariant profile orthogonally to a fixed wind direction. Here we show numerically and with a linear stability analysis that transverse dunes are unstable with respect to along-axis perturbations in their profile and decay on the bedrock into barchan dunes. Any forcing modulation amplifies exponentially with growth rate determined by the dune turnover time. We estimate the distance covered by a transverse dune before fully decaying into barchans and identify the patterns produced by different types of perturbation.

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