Relation of the fourth-order statistical invariants of velocity gradient tensor in isotropic turbulence

L. Fang, Y. J. Zhang, J. Fang, and Y. Zhu
Phys. Rev. E 94, 023114 – Published 30 August 2016

Abstract

We show by direct numerical simulations (DNSs) that in different types of isotropic turbulence, the fourth-order statistical invariants have approximately a linear relation, which can be represented by a straight line in the phase plane, passing two extreme states: the Gaussian state and the restricted Euler state. Also, each DNS case corresponds to an equilibrium region that is roughly Reynolds-dependent. In addition, both the time reversal and the compressibility effect lead to nonequilibrium transition processes in this phase plane. This observation adds a new restriction on the mean-field theory.

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  • Received 31 May 2016

DOI:https://doi.org/10.1103/PhysRevE.94.023114

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Fluid Dynamics

Authors & Affiliations

L. Fang1, Y. J. Zhang1, J. Fang2,3,*, and Y. Zhu4

  • 1LMP, Ecole Centrale de Pékin, Beihang University, Beijing 100191, China
  • 2National Key Laboratory of Science and Technology on Aero-Engine Aero-Thermodynamics, School of Energy and Power Engineering, Beihang University, Beijing 100191, China
  • 3Computer Science and Engineering Department, STFC Daresbury Laboratory, Warrington WA4 4AD, United Kingdom
  • 4LMFA, Ecole Centrale de Lyon, Université de Lyon, 69130 Ecully, France

  • *fangjian19@gmail.com

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Issue

Vol. 94, Iss. 2 — August 2016

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