Pattern dynamics  of vortex ripples  in sand: Nonlinear  modeling and experimental  validation

Ken Haste Andersen; M. Abel; J. Krug; C. Ellegaard; L. R. Søndergaard; J. Udesen

doi:10.1103/PhysRevLett.88.234302

Pattern dynamics of vortex ripples in sand: Nonlinear modeling and experimental validation

Ken Haste Andersen, M. Abel, J. Krug, C. Ellegaard, L. R. Søndergaard, J. Udesen

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Abstract

Vortex ripples in sand are studied experimentally in a one-dimensional setup with periodic boundary conditions. The nonlinear evolution, far from the onset of instability, is analyzed in the framework of a simple model developed for homogeneous patterns. The interaction function describing the mass transport between neighboring ripples is extracted from experimental runs using a recently proposed method for data analysis, and the predictions of the model are compared to the experiment. An analytic explanation of the wavelength selection mechanism in the model is provided, and the width of the stable band of ripples is measured.

Original language	English
Journal	Physical Review Letters
Volume	88
Issue number	23
Pages (from-to)	234302
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.88.234302
Publication status	Published - 2002

Bibliographical note

Copyright (2002) American Physical Society

Keywords

WATER
WAVES

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abstract = "Vortex ripples in sand are studied experimentally in a one-dimensional setup with periodic boundary conditions. The nonlinear evolution, far from the onset of instability, is analyzed in the framework of a simple model developed for homogeneous patterns. The interaction function describing the mass transport between neighboring ripples is extracted from experimental runs using a recently proposed method for data analysis, and the predictions of the model are compared to the experiment. An analytic explanation of the wavelength selection mechanism in the model is provided, and the width of the stable band of ripples is measured.",

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AU - Udesen, J.

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