PMID: 22587286May 17, 2012Paper

Bifurcation analysis of the transition of dune shapes under a unidirectional wind

Physical Review Letters
Hirofumi NiiyaH Nishimori

Abstract

A bifurcation analysis of dune shape transition is made. By use of a reduced model of dune morphodynamics, the Dune Skeleton model, we elucidate the transition mechanism between different shapes of dunes under unidirectional wind. It was found that the decrease in the total amount of sand in the system and/or the lateral sand flow shifts the stable state from a straight transverse dune to a wavy transverse dune through a pitchfork bifurcation. A further decrease causes wavy transverse dunes to shift into barchans through a Hopf bifurcation. These bifurcation structures reveal the transition mechanism of dune shapes under unidirectional wind.

References

Jul 5, 1993·Physical Review Letters·H Nishimori, N Ouchi
Dec 18, 2002·Physical Review Letters·Pascal HersenBruno Andreotti
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O DuránH Herrmann
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christopher GrohChristof A Kruelle
Nov 24, 2011·Physical Review Letters·Eric J R ParteliHans J Herrmann

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Citations

Sep 18, 2012·Reports on Progress in Physics·Jasper F KokDiana Bou Karam
Jun 15, 2016·Physical Review. E·Alice CarusoPeter J Schmid
Feb 20, 2020·Physical Review. E·Sachi Nakao-KusuneHiizu Nakanishi
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L GuignierA Valance

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