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From Wind-Blown Sand to Turbulence and Back

In: The Fascination of Probability, Statistics and their Applications

Author

Listed:
  • Björn Birnir

    (University of California, Center for Complex and Nonlinear Science and Department of Mathematics
    University of Iceland)

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.

Suggested Citation

  • Björn Birnir, 2016. "From Wind-Blown Sand to Turbulence and Back," Springer Books, in: Mark Podolskij & Robert Stelzer & Steen Thorbjørnsen & Almut E. D. Veraart (ed.), The Fascination of Probability, Statistics and their Applications, pages 15-27, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-25826-3_2
    DOI: 10.1007/978-3-319-25826-3_2
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