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Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field

Published online by Cambridge University Press:  23 February 2018

Makoto Okamura Open the ORCID record for Makoto Okamura [Opens in a new window]
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Abstract

This paper proposes a new two-point closure model that is compatible with the Kolmogorov $-5/3$ power law for homogeneous isotropic turbulence in an incompressible fluid using the Lagrangian specification of the flow field. A closed set of three equations was derived from the Navier–Stokes equation with no adjustable free parameters. The Kolmogorov constant and the skewness of the longitudinal velocity derivative were evaluated to be 1.779 and $-0.49$ , respectively, using the proposed model. The bottleneck effect was also reproduced in the near-dissipation range.

JFM classification

Turbulent Flows: Homogeneous turbulence Turbulent Flows: Isotropic turbulence Turbulent Flows: Turbulence theory

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JFM Papers
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Journal of Fluid Mechanics , Volume 841 , 25 April 2018 , pp. 521 - 551
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© 2018 Cambridge University Press 

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