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Journal Articles Physical Review E Year : 2016

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

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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Dates and versions

hal-01516120 , version 1 (07-03-2018)

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Le Fang, Y.J. Zhang, J. Fang, Ying Zhu. Relation of the fourth-order statistical invariants of velocity gradient tensor in isotropic turbulence. Physical Review E , 2016, 94 (2), pp.023114 -1. ⟨10.1103/PhysRevE.94.023114⟩. ⟨hal-01516120⟩
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