From Wind-Blown Sand to Turbulence and Back

Björn Birnir ()
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Björn Birnir: University of California, Center for Complex and Nonlinear Science and Department of Mathematics

A chapter in The Fascination of Probability, Statistics and their Applications, 2016, pp 15-27 from Springer

Abstract: Abstract We describe the recently developed Kolmogorov-Obukhov statistical theories of homogeneous turbulence and its extension to boundary layer turbulence. The theories can be used to describe the size distribution of wind-blown sand but the statistical theory of Lagrangian turbulence is still missing, so this task cannot be completed yet. That this can be done was suggested by Ole-Barndorff Nielsen and we show how his Generalized Hyperbolic Distribution gives the continuous part of the probability distribution functions of the turbulent velocity differences.

Keywords: Turbulence; Intermittency; Invariant measure; Kolmogorov-Obukhov scaling; Inertial cascade; Navier-Stokes equation; Large deviations; Poisson processes; Central limit theorem; Structure functions; She-Leveque intermittency corrections; Boundary value turbulence; Lagrangian turbulence; Wind-blown sand (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-25826-3_2

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DOI: 10.1007/978-3-319-25826-3_2

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