期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 2023, 期 11, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1742-5468/ad063a
关键词
vortex-stretching; condensation; statistical mechanics; turbulence
In turbulent systems with inverse cascades, energy will accumulate at large scales if there is no large-scale sink. We observed condensation in forced-dissipative three-dimensional turbulence without vortex-stretching, which is associated with an inverse cascade of helicity. The large-scale structure of this condensate is characterized by a hyperbolic sine relation between vorticity and velocity, similar to the relationship observed in freely decaying 2D turbulence in periodic domains.
In turbulent systems with inverse cascades, energy will pile up at large scales if no large-scale sink is present. We observe that in forced-dissipative three-dimensional turbulence from which vortex-stretching is removed, such condensation is observed, associated with an inverse cascade of helicity. The large-scale structure of this condensate is characterized by a hyperbolic sine relation between vorticity and velocity, analogous to the sinh relation between vorticity and stream function observed in freely decaying 2D turbulence in periodic domains. We generalize a 2D point-vortex statistical mechanics approach to our 3D system. It is shown that the predictions of this approach are in agreement with observations of both the forced-dissipative system, after appropriate averaging, and of the freely decaying system.
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