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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

Sediment transport along the surface drives geophysical phenomena as diverse as wind erosion and dune formation. The main length-scale controlling the dynamics of sediment erosion and deposition is the saturation length $L_\mathrm{s}$,…

Soft Condensed Matter · Physics 2015-08-19 Thomas Pähtz , Jasper F. Kok , Eric J. R. Parteli , Hans J. Herrmann

We present an analytical model of aeolian sand transport. The model quantifies the momentum transfer from the wind to the transported sand by providing expressions for the thickness of the saltation layer and the apparent surface roughness.…

Soft Condensed Matter · Physics 2019-09-20 Thomas Pähtz , Jasper F. Kok , Hans J. Herrmann

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

The mesoscale structure of aeolian sand transport determines a variety of natural phenomena studied in planetary and Earth science. We analyze it theoretically beyond the mean-field level, based on the grain-scale transport kinetics and…

Soft Condensed Matter · Physics 2017-12-06 Marc Lämmel , Klaus Kroy

Starting from the physics on the grain scale, we develop a simple continuum description of aeolian sand transport. Beyond popular mean-field models, but without sacrificing their computational efficiency, it accounts for both dominant grain…

Soft Condensed Matter · Physics 2012-09-27 Marc Lämmel , Daniel Rings , Klaus Kroy

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

Wind-driven sand transport generates atmospheric dust, forms dunes, and sculpts landscapes. However, it remains unclear how the sand flux scales with wind speed, largely because models do not agree on how particle speed changes with wind…

Geophysics · Physics 2017-03-10 Raleigh L. Martin , Jasper F. Kok

Natural wind-eroded soils contain a mixture of particle sizes. However, models for aeolian saltation are typically derived for sediment bed surfaces containing only a single particle size. To nonetheless treat natural mixed beds, models for…

Geophysics · Physics 2019-04-23 Raleigh L. Martin , Jasper F. Kok

Aeolian sand beds exhibit regular patterns of ripples resulting from the interaction between topography and sediment transport. Their characteristics have been so far related to reptation transport caused by the impacts on the ground of…

Soft Condensed Matter · Physics 2015-06-23 Orencio Duran , Philippe Claudin , Bruno Andreotti

The transport of sediment by a fluid along the surface is responsible for dune formation, dust entrainment and for a rich diversity of patterns on the bottom of oceans, rivers, and planetary surfaces. Most previous models of sediment…

Soft Condensed Matter · Physics 2019-09-20 Thomas Pähtz , Eric J. R. Parteli , Jasper F. Kok , Hans J. Herrmann

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

Wind-blown sand, or "saltation", ejects dust aerosols into the atmosphere, creates sand dunes, and erodes geological features. We present a comprehensive numerical model of steady-state saltation that, in contrast to most previous studies,…

Fluid Dynamics · Physics 2009-01-05 Jasper F. Kok , Nilton O. Renno

As winds blow over sand, grains are mobilized and reorganized into bedforms such as ripples and dunes. In turn, sand transport and bedforms affect the winds themselves. These complex interactions between winds and sediment render modeling…

Geophysics · Physics 2025-06-17 C. A. Alvarez , M. G. A. Lapôtre , C. Swann , R. C. Ewing , P. Jia , P. Claudin

Reliably predicting the geomorphology and climate of planetary bodies requires knowledge of the dynamic threshold wind shear velocity below which saltation transport ceases. Here we measure this threshold in a wind tunnel for four…

Geophysics · Physics 2019-10-28 Wei Zhu , Xinghui Huo , Jie Zhang , Peng Wang , Thomas Pähtz , Ning Huang , Zhiguo He

Air-sea drag governs the momentum transfer between the atmosphere and the ocean, and remains largely unknown in hurricane winds. We revisit the momentum budget and eddy-covariance methods to estimate the surface drag coefficient in the…

Atmospheric and Oceanic Physics · Physics 2020-09-15 Milan Curcic , Brian K. Haus

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…

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 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

Aeolian transport of sand and dust is driven by turbulent winds that fluctuate over a broad range of temporal and spatial scales. However, commonly used aeolian transport models do not explicitly account for such fluctuations, likely…

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