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

Okamura, Makoto

841pp.521 - 551 , 2018-02-23 , Cambridge University Press
ISSN:0022-11201469-7645
NCID:AA00698198
Description
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.

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