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Related papers: Modelling formation and evolution of transverse du…

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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

We propose a minimal model for aeolian sand dunes. It combines an analytical description of the turbulent wind velocity field above the dune with a continuum saltation model that allows for saturation transients in the sand flux. The model…

Soft Condensed Matter · Physics 2009-11-07 Klaus Kroy , Gerd Sauermann , Hans J. Herrmann

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

We review the main processes that drive the morphodynamics of dunes, i.e. their growth in height, migration and elongation, and emphasise the contribution of experiments to the understanding of these mechanisms. The main control parameters…

Fluid Dynamics · Physics 2025-07-08 P. Claudin , S. Courrech du Pont , C. Narteau

Sand dunes are often covered by vegetation and biogenic crusts. Despite their significant role in dune stabilization, biogenic crusts have rarely been considered in studies of dune dynamics. Using a simple model, we study the existence and…

Biological Physics · Physics 2015-06-05 Shai Kinast , Ehud Meron , Hezi Yizhaq , Yosef Ashkenazy

We derive a phenomenological continuum saltation model for aeolian sand transport that can serve as an efficient tool for geomorphological applications. The coupled differential equations for the average density and velocity of sand in the…

Materials Science · Physics 2009-11-07 G. Sauermann , K. Kroy , H. J. Herrmann

Our aim in this note is to introduce and study a mathematical model for the description of traveling sand dunes. We use surface flow process of sand under the effect of wind and gravity. We model this phenomena by a non linear…

Analysis of PDEs · Mathematics 2021-03-23 Noureddine Igbida , Fahd Karami , Driss Meskine

We investigate flow separation in the air flow over transverse sand dunes. CFD simulations of the air flow over differently shaped dunes are performed. The length of the recirculation region after the brink of the dune is found to depend…

Other Condensed Matter · Physics 2007-05-23 V. Schatz , H. J. Herrmann

Granular media are frequently found in nature and in industry and their transport by a fluid flow is of great importance to human activities. One case of particular interest is the transport of sand in open-channel and river flows. In many…

Fluid Dynamics · Physics 2016-08-23 Erick de Moraes Franklin

In this work, we report measurements of the height profile of transverse dunes in the coastal dune field known as ``Len\c{c}\'ois Maranhenses'', northeastern Brazil. Our measurements show that transverse dunes with approximately the same…

Statistical Mechanics · Physics 2007-05-23 E. J. R. Parteli , V. Schwaemmle , H. J. Herrmann , L. H. U. Monteiro , L. P. Maia

Aeolian transport in coastal areas can be significantly affected by the presence of an exposed water table. In some dune fields, such as in Len\c{c}\'ois Maranhenses, northeastern Brazil, the water table oscillates in response to seasonal…

Geophysics · Physics 2015-05-30 Marco Cesar M. de M. Luna , Eric J. R. Parteli , Hans J. Herrmann

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

Barchan dunes were found to transform into parabolic dunes and vice versa when the amount of vegetation on and around them changes. This work presents the first numerical simulation of this effect. We propose a continuum model for the…

Other Condensed Matter · Physics 2007-05-23 O. Duran , V. Schatz , H. J. Herrmann , H. Tsoar

Desert surfaces are typically non uniform, with individual sand dunes generally surrounded by gravel or non-erodible beds. Similarly, beaches vary in composition and moisture that enhances cohesion between the grains. These bed…

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

Barchans are crescentic dunes propagating on a solid ground. They form dune fields in the shape of elongated corridors in which the size and spacing between dunes are rather well selected. We show that even very realistic models for…

Condensed Matter · Physics 2009-11-10 P. Hersen , K. H. Andersen , H. Elbelrhiti , B. Andreotti , P. Claudin , S. Douady

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

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…

Almost fifty years of investigations of barchan dunes morphology and dynamics is reviewed, with emphasis on the physical understanding of these objects. The characteristics measured on the field (shape, size, velocity) and the physical…

Condensed Matter · Physics 2009-11-07 Bruno Andreotti , Philippe Claudin , Stéphane Douady

Barchans are crescent-shaped sand dunes forming in aride regions with unidirectional wind and limited sand supply. We report analytical and numerical results for dune shapes under different environmental conditions as obtained from the…

Soft Condensed Matter · Physics 2009-11-11 Klaus Kroy , Sebastian Fischer , Benedikt Obermayer