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Related papers: Selection of dune shapes and velocities. Part 2: A…

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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…

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,…

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

We present a minimal model for the formation and migration of aeolian sand dunes. It combines a perturbative description of the turbulent wind velocity field above the dune with a continuum saltation model that allows for saturation…

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

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

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 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

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 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 this study, a new theory for the spontaneous formation of sand dunes and related bedforms is proposed. The theory is based on the concept that smaller accumulations of sediment outpace larger ones due to differences in surface-to-volume…

Geophysics · Physics 2023-10-23 Daan Beelen

A simple model for the dynamics of dunes associated with vegetation is proposed. Using the model, formation processes of transverse dunes, parabolic dunes and elongated parabolic dunes according to two environmental factors: i)the amount of…

Pattern Formation and Solitons · Physics 2015-06-26 Hiraku Nishimori , Hirohisa Tanaka

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

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

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

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

It has been observed that the direction in which a sand dune extends its crest line depends on seasonal variation of wind direction; when the variation is small, the crest line develops more or less perpendicularly to the mean wind…

Soft Condensed Matter · Physics 2020-01-22 Sachi Nakao-Kusune , Takahiro Sakaue , Hiraku Nishimori , Hiizu Nakanishi

The engineering interest about dune fields is dictated by the their interaction with a number of human infrastructures in arid environments. Sand dunes dynamics is dictated by wind and its ability to induce sand erosion, transport and…

Fluid Dynamics · Physics 2015-02-05 Luca Bruno , Davide Fransos

Barchan dunes are found where sand availability is low and wind direction quite constant. The two dimensional shear stress of the wind field and the sand movement by saltation and avalanches over a barchan dune are simulated. The resulting…

Condensed Matter · Physics 2007-05-23 V. Schwaemmle , H. Herrmann
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