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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…

偏微分方程分析 · 数学 2021-03-23 Noureddine Igbida , Fahd Karami , Driss Meskine

We construct a driven sandpile slope model and study it by numerical simulations in one dimension. The model is specified by a threshold slope $\sigma_c\/$, a parameter $\alpha\/$, governing the local current-slope relation (beyond…

凝聚态物理 · 物理学 2009-10-22 Sujan K. Dhar , Rahul Pandit , Sriram Ramaswamy

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…

软凝聚态物质 · 物理学 2012-09-27 Marc Lämmel , Daniel Rings , Klaus Kroy

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…

材料科学 · 物理学 2009-11-07 G. Sauermann , K. Kroy , H. J. Herrmann

Erosion poses a great challenge in multi-phase mass flows as it drastically changes flow behavior and deposition pattern by dramatically increasing their masses, adversely affecting population and civil structures. There exists no…

流体动力学 · 物理学 2025-03-28 Shiva P. Pudasaini

From geometry and conservation we derive two nonlinear evolution equations for sand ripples. In the case of a strong wind leading to a net erosion of the sand bed, ripples obey the Benney equation. This leads either to order or disorder…

统计力学 · 物理学 2007-05-23 Zoltan Csahok , Chaouqi Misbah , Alexandre Valance

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 $L_\mathrm{s}$,…

软凝聚态物质 · 物理学 2015-08-19 Thomas Pähtz , Jasper F. Kok , Eric J. R. Parteli , Hans J. Herrmann

Predicting transport rates of windblown sand is a central problem in aeolian research, with implications for climate, environmental, and planetary sciences. Though studied since the 1930s, the underlying many-body dynamics is still…

软凝聚态物质 · 物理学 2023-02-07 Katharina Tholen , Thomas Pähtz , Sandesh Kamath , Eric J. R. Parteli , Klaus Kroy

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.…

软凝聚态物质 · 物理学 2019-09-20 Thomas Pähtz , Jasper F. Kok , Hans J. Herrmann

Aeolian sand transport is a major process shaping landscapes on Earth and on diverse celestial bodies. Conditions favoring bimodal sand transport, with fine-grain saltation driving coarse-grain reptation, give rise to the evolution of…

地球物理 · 物理学 2022-08-02 Katharina Tholen , Thomas Pähtz , Hezi Yizhaq , Itzhak Katra , Klaus Kroy

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-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…

地球物理 · 物理学 2017-03-10 Raleigh L. Martin , Jasper F. Kok

We study channelization and slope destabilization driven by subsurface (groundwater) flow in a laboratory experiment. The pressure of the water entering the sandpile from below as well as the slope of the sandpile are varied. We present…

软凝聚态物质 · 物理学 2007-05-23 Alexander E. Lobkovsky , Bill Jensen , Arshad Kudrolli , Daniel H. Rothman

A model for nonequilibrium wetting in 1+1 dimensions is introduced. It comprises adsorption and desorption processes with a dynamics which generically does not obey detailed balance. Depending on the rates of the dynamical processes the…

统计力学 · 物理学 2009-10-31 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi

Breaching of earthen or sandy dams/dunes by overtopping flow and waves is a complicated process with strong, unsteady flow, high sediment transport, and rapid bed changes in which the interactions between flow and morphology should not be…

流体动力学 · 物理学 2015-08-06 Zhiguo He , Peng Hu , Liang Zhao , Ganfeng Wu , Thomas Pähtz

Gravity-driven flows of granular matter are involved in a wide variety of situations, ranging from industrial processes to geophysical phenomena, such as avalanches or landslides. These flows are characterized by the coexistence of solid…

软凝聚态物质 · 物理学 2020-11-18 Pierre Soulard , Denis Dumont , Thomas Salez , Elie Raphael , Pascal Damman

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,…

流体动力学 · 物理学 2009-01-05 Jasper F. Kok , Nilton O. Renno

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…

流体动力学 · 物理学 2020-10-05 Cyril Gadal , Clément Narteau , Sylvain Courrech du Pont , Olivier Rozier , Philippe Claudin

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…

地球物理 · 物理学 2019-04-23 Raleigh L. Martin , Jasper F. Kok

We present a review of nonequilibrium phase transitions in mass-transport models with kinetic processes like fragmentation, diffusion, aggregation, etc. These models have been used extensively to study a wide range of physical problems. We…

统计力学 · 物理学 2010-11-16 Gaurav P. Shrivastav , Varsha Banerjee , Sanjay Puri
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