A non‐Gaussian model of turbulence (soccer‐ball integrals)

Robert Betchov; Poul Scheel Larsen

doi:10.1063/1.863581

A non‐Gaussian model of turbulence (soccer‐ball integrals)

Robert Betchov, Poul Scheel Larsen

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Abstract

The statistics of the time evolution of a nonlinearly coupled system of first-order equations representing the Euler equations is studied. The probability distribution of functions is nearly Gaussian, while that of their time derivatives has exponential tails and moments of order 4, 6, and 8 that approach those of the exponential distributions. Physics of Fluids is copyrighted by The American Institute of Physics.

Original language	English
Journal	Physics of Fluids
Volume	24
Issue number	9
Pages (from-to)	1602-1604
ISSN	1070-6631
DOIs	https://doi.org/10.1063/1.863581
Publication status	Published - 1981

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Copyright (1981) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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http://dx.doi.org/10.1063/1.863581

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AB - The statistics of the time evolution of a nonlinearly coupled system of first-order equations representing the Euler equations is studied. The probability distribution of functions is nearly Gaussian, while that of their time derivatives has exponential tails and moments of order 4, 6, and 8 that approach those of the exponential distributions. Physics of Fluids is copyrighted by The American Institute of Physics.

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A non‐Gaussian model of turbulence (soccer‐ball integrals)

Abstract

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