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Sand-moving winds blowing from a constant direction in an area of high sand availability form transverse dunes, which have a fixed profile in the direction orthogonal to the wind. Here we show, by means of a linear stability analysis, that…

Soft Condensed Matter · Physics 2015-06-04 Hygor P. M. Melo , Eric J. R. Parteli , José S. Andrade , Hans J. Herrmann

Early-stage bedforms develop into mature dunes through complex interactions between wind, sand transport and surface topography. Depending on varying environmental and wind conditions, the mechanism driving dune formation and, ultimately,…

The dune skeleton model is a reduced model to describe the formation process and dynamics of characteristic types of dunes emerging under unidirectional steady wind. Using this model, we study the dependency of the morphodynamics of…

Pattern Formation and Solitons · Physics 2016-09-09 H. Niiya , A. Awazu , H. Nishimori

Most terrestrial sand seas form at `horse' latitudes, where the wind direction exhibits seasonal variation. Here, we extend the two-dimensional linear stability analysis of a flat sand bed associated with a unidirectional wind to the…

In landscape-scale experiments at the edge of the Gobi desert, we show that various dune types develop simultaneously under natural wind conditions. Using 4 years of high-resolution topographic data, we demonstrate that, depending on sand…

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…

Soft Condensed Matter · Physics 2015-05-30 Eric J. R. Parteli , José S. Andrade , Hans J. Herrmann

Transverse dunes, which form under unidirectional winds and have fixed profile in the direction perpendicular to the wind, occur on all celestial objects of our solar system where dunes have been detected. Here we perform a numerical study…

Soft Condensed Matter · Physics 2013-10-01 Ascânio D. Araújo , Eric J. R. Parteli , Thorsten Poeschel , José S. Andrade , Hans J. Herrmann

We model formation and evolution of transverse dune fields. In the model, only the cross section of the dune is simulated. The only physical variable of relevance is the dune height, from which the dune width and velocity are determined, as…

Statistical Mechanics · Physics 2007-05-23 J. H. Lee , A. O. Sousa , E. J. R. Parteli , H. J. Herrmann

In zones of loose sand, wind-blown sand dunes emerge due the linear instability of a flat sedimentary bed. This instability has been studied in experiments and numerical models but rarely in the field, due to the large time and length…

A bifurcation analysis of dune shape transition is made. By use of a reduced model of dune morphodynamics, dune skeleton model, we elucidate the transition mechanism between different shapes of dunes under unidirectional wind. It was found…

Pattern Formation and Solitons · Physics 2016-09-09 Hirofumi Niiya , Akinori Awazu , Hiraku Nishimori

Compared to barchan dunes, the morphodynamics of linear dunes that elongate on a non-erodible bed is barely investigated by means of laboratory experiments or numerical simulations. Using a cellular automaton model, we study the elongation…

Geophysics · Physics 2020-01-30 O. Rozier , C. Narteau , C. Gadal , P. Claudin , S. Courrech du Pont

Transverse dunes appear in regions of mainly unidirectional wind and high sand availability. A dune model is extended to two dimensional calculation of the shear stress. It is applied to simulate dynamics and morphology of transverse dunes…

Condensed Matter · Physics 2015-06-24 Veit Schwämmle , Hans J. Herrmann

To analyze theoretically the stability of the shape and the migration process of transverse dunes and barchans, we propose a {\it skeleton model} of 3D dunes described with coupled dynamics of 2D cross-sections. First, 2D cross-sections of…

Pattern Formation and Solitons · Physics 2012-01-05 Hirofumi Niiya , Akinori Awazu , Hiraku Nishimori

We propose a model to study the spatiotemporal dynamics of biocrust and vegetation cover on sand dunes. The model consists of two coupled partial nonlinear differential equations and includes diffusion and advection terms for modeling the…

Pattern Formation and Solitons · Physics 2022-05-18 Hezi Yizhaq , Yosef Ashkenazy

Modern dune fields are valuable sources of information for the large-scale analysis of terrestrial and planetary environments and atmospheres, but their study relies on understanding the small-scale dynamics that constantly generate new…

We present a simple one-dimensional model to describe the evolution of a transverse dune field. The model is characterized by the distances between the dunes and their heights, which determine the inter-dune sand flux. The model reproduces…

Statistical Mechanics · Physics 2009-09-29 E. J. R. Parteli , H. J. Herrmann

The wavelength at which a dune pattern emerges from a flat sand bed is controlled by the sediment transport saturation length, which is the length needed for the sand flux to adapt to a change of wind strength. The influence of the wind…

Soft Condensed Matter · Physics 2008-06-25 B. Andreotti , P. Claudin , O. Pouliquen

Barchan dunes --- crescent-shaped dunes that form in areas of unidirectional winds and low sand availability --- commonly display an asymmetric shape, with one limb extended downwind. Several factors have been identified as potential causes…

Soft Condensed Matter · Physics 2013-12-03 Eric J. R. Parteli , Orencio Durán , Mary C. Bourke , Haim Tsoar , Thorsten Poeschel , Hans J. Herrmann

Wind topographically forced by hills and sand dunes accelerates on the upwind (stoss) slopes and reduces on the downwind (lee) slopes. This secondary wind regime, however, possesses a subtle effect, reported here for the first time from…

Soft Condensed Matter · Physics 2015-06-05 P. Claudin , G. F. S. Wiggs , B. Andreotti

We present in this paper a simplification of the dune model proposed by Sauermann et al. which keeps the basic mechanisms but allows analytical and parametric studies. Two kinds of purely propagative two dimensional solutions are exhibited:…

Condensed Matter · Physics 2015-06-24 Bruno Andreotti , Philippe Claudin
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