Transition from non-swirling to swirling axisymmetric turbulence
Author(s) -
Zecong Qin,
Hugues Faller,
B. Dubrulle,
Aurore Naso,
Wouter J. T. Bos
Publication year - 2020
Publication title -
physical review fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.244
H-Index - 37
eISSN - 2469-9918
pISSN - 2469-990X
DOI - 10.1103/physrevfluids.5.064602
Subject(s) - turbulence , rotational symmetry , toroid , physics , mechanics , k omega turbulence model , invariant (physics) , flow (mathematics) , k epsilon turbulence model , turbulence kinetic energy , classical mechanics , statistical physics , plasma , mathematical physics , quantum mechanics
Strictly axisymmetric turbulence, i.e., turbulence governed by the Navier-Stokes equations modified such that the flow is invariant in the azimuthal direction, is a system intermediate between two-and three-dimensional turbulence. We investigate statistically steady states of this system by direct numerical simulation using a forcing protocol, which allows the injected energy in the toroidal and in the poloidal directions to be tuned independently. A sharp transition between a two-dimensional two-component (2D2C, non-swirling) flow and a two-dimensional three-component (2D3C, swirling) flow is observed. We derive a statistical model which reproduces this transition.
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