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

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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.

Original languageEnglish
Pages (from-to)521-551
Number of pages31
JournalJournal of Fluid Mechanics
Volume841
DOIs
Publication statusPublished - Apr 25 2018

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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