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A simple model is presented for the formation of rolling grain ripples on a flat sand bed by the oscillatory flow generated by a surface wave. An equation of motion is derived for the individual ripples, seen as "particles", on the…

patt-sol · Physics 2007-05-23 K. H. Andersen

Vortex ripples in sand are studied experimentally in a one-dimensional setup with periodic boundary conditions. The nonlinear evolution, far from the onset of instability, is analyzed in the framework of a simple model developed for…

Statistical Mechanics · Physics 2009-11-07 K. H. Andersen , M. Abel , J. Krug , C. Ellegaard , L. R. Soendergaard , J. Udesen

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

Sand ripples are commonly observed in both nature and industry. For example, they are found on riverbeds and in oil pipelines that transport sand. In both natural and industrial cases, ripples increase friction between the bed and fluid and…

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

We report an experimental study of a binary sand bed under an oscillating water flow. The formation and evolution of ripples is observed. The appearance of a granular segregation is shown to strongly depend on the sand bed preparation. The…

Soft Condensed Matter · Physics 2007-05-23 G. Rousseaux , H. Caps , J. -E. Wesfreid

We analyze theoretically the dynamics of aeolian sand ripples. In order to put the study in the context we first review existing models. We argue on the local character of sand ripple formation. Using a hydrodynamical model we derive a…

Condensed Matter · Physics 2009-10-31 Z. Csahok , C. Misbah , F. Rioual , A. Valance

Sea ripples are small-scale bedforms which originate from the interaction of an oscillatory flow with an erodible sand bed. The phenomenon of sea ripple formation is investigated by means of direct numerical simulation in which the sediment…

Fluid Dynamics · Physics 2019-02-20 Marco Mazzuoli , Aman G. Kidanemariam , Markus Uhlmann

We study the initial instability of flat sand surface and further nonlinear dynamics of wind ripples. The proposed continuous model of ripple formation allowed us to simulate the development of a typical asymmetric ripple shape and the…

Soft Condensed Matter · Physics 2009-10-31 Leonid Prigozhin

We formulate a continuum model for aeolian sand ripples consisting of two species of grains: a lower layer of relatively immobile clusters, with an upper layer of highly mobile grains moving on top. We predict analytically the ripple…

Materials Science · Physics 2009-10-31 Rebecca B. Hoyle , Anita Mehta

We study mechanisms for wavenumber selection in a minimal model for run-and-tumble dynamics. We show that nonlinearity in tumbling rates induces the existence of a plethora of traveling- and standing-wave patterns, as well as a subtle…

Pattern Formation and Solitons · Physics 2017-02-14 Arnd Scheel , Angela Stevens

The aim of our study is to improve the description of suspended sediment transport over wave ripples. We will first show the importance of sediment diffusivity with convective transfer (hereafter called) which is different from the sediment…

Classical Physics · Physics 2011-05-13 Rafik Absi

The results of Direct Numerical Simulations of the oscillatory flow over a cohesionless bed of spherical particles, mimicking sediment grains, are described. The flow around the sediment particles is explicitly computed by using the…

Fluid Dynamics · Physics 2020-09-15 Giovanna Vittori , Paolo Blondeaux , Marco Mazzuoli , Julian Simeonov , Joseph Calantoni

We study the morphological evolution of surfaces during ion sputtering and we compare their dynamical roughening with aeolian ripple formation in sandy deserts. We show that, although the two phenomena are physically different, they must…

Soft Condensed Matter · Physics 2007-09-19 T. Aste , U. Valbusa

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

It is widely accepted that both ripples and dunes form in rivers by primary linear instability, the wavelength of the former scaling on the grain size, that of the latter being controled by the water depth. We revisit here this problem,…

Soft Condensed Matter · Physics 2008-11-14 A. Fourrière , P. Claudin , B. Andreotti

Periodic sediment patterns have been observed on Earth in riverbeds and sand and snow deserts, but also in other planetary environments. One of the most ubiquitous patterns, familiar wind or 'impact' ripples, adorns sand beaches and arid…

Geophysics · Physics 2025-05-02 C. W. Lester , A. B. Murray , Orencio Duran , B. Andreotti , P. Claudin

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…

Statistical Mechanics · Physics 2007-05-23 Zoltan Csahok , Chaouqi Misbah , Alexandre Valance

Windblown sand creates multiscale bedforms on Earth, Mars, and other planetary bodies. According to conventional wisdom, decameter-scale dunes and decimeter-scale ripples emerge via distinct mechanisms on Earth: a hydrodynamic instability…

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

Fluid Dynamics · Physics 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

Ripples are the most fundamental and ubiquitous aeolian bedforms formed on sandy surfaces, but their small size and fast response times make them inherently difficult to measure. However, these attributes also make ripples excellent flow…

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