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Non-Gaussianity in turbulent relative dispersion

Published online by Cambridge University Press:  29 March 2019

B. J. Devenish Open the ORCID record for B. J. Devenish [Opens in a new window]  and
D. J. Thomson
B. J. Devenish*
Affiliation:
Met Office, FitzRoy Road, Exeter EX1 3PB, UK
D. J. Thomson
Affiliation:
Met Office, FitzRoy Road, Exeter EX1 3PB, UK
*
†Email address for correspondence: [email protected]
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Abstract

We present an extension of Thomson’s (J. Fluid Mech., vol. 210, 1990, pp. 113–153) two-particle Lagrangian stochastic model that is constructed to be consistent with the $4/5$ law of turbulence. The rate of separation in the new model is reduced relative to the original model with zero skewness in the Eulerian longitudinal relative velocity distribution and is close to recent measurements from direct numerical simulations of homogeneous isotropic turbulence. The rate of separation in the equivalent backwards dispersion model is approximately a factor of 2.9 larger than the forwards dispersion model, a result that is consistent with previous work.

JFM classification

Turbulent Flows: Isotropic turbulence Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 867 , 25 May 2019 , pp. 877 - 905
Copyright
© Crown Copyright. Published by Cambridge University Press 2019 

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