Fluid Mechanics and Acoustics Laboratory - UMR 5509

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Home > Teams > Turbulence & Instabilities > Publications T&I et posters doctorants > Publications T&I 2016

Article in Phys. Rev. E (2016)

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

Le Fang, Y.J. Zhang, J. Fang, Ying Zhu

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

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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