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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

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

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

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

We present a continuous model capable of demonstrating some salient features of aeolian sand ripples: the realistic asymmetric ripple shape, coarsening of ripple field at the nonlinear stage of ripple growth, saturation of ripple growth for…

Soft Condensed Matter · Physics 2009-11-13 Edgar Manukyan , Leonid Prigozhin

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

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…

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

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 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

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 investigate the formation of ripples on the surface of windblown sand based on the one-dimensional model of Nishimori and Ouchi [Phys. Rev. Lett. 71, 197 (1993)], which contains the processes of saltation and grain relaxation. We carry…

Materials Science · Physics 2009-10-31 Douglas A. Kurtze , Joseph A. Both , Daniel C. Hong

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

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 the two phenomena can be described within the same theoretical…

Materials Science · Physics 2007-05-23 T. Aste , U. Valbusa

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 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

Three-dimensional sand ripples can be observed under steady liquid flows in both nature and industry. Some examples are the ripples observed on the bed of rivers and in petroleum pipelines conveying sand. Although of importance, the…

Fluid Dynamics · Physics 2016-08-16 Erick de Moraes Franklin

The transport of solid particles by a fluid flow is frequently found in nature and industry. Some examples are the transport of sand in rivers and hydrocarbon pipelines. When the shear stresses exerted by a fluid flow on a granular bed…

Fluid Dynamics · Physics 2016-08-18 Jorge Eduar Cardona Florez , Erick de Moraes Franklin

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

Subaqueous and aeolian bedforms are ubiquitous on Earth and other planetary environments. However, it is still unclear which hydrodynamical mechanisms lead to the observed variety of morphologies of self-organized natural patterns such as…

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