Fluctuations of statistics among subregions of a turbulence velocity field

Details Fluctuations of statistics among subregions of a turbulence velocity field Fluctuations of statistics among subregions of a turbulence velocity field

2008-01-09

arxiv.org/abs/0801.1402v2

PoF, 20, 035108 [2008]

Physics

Fluid Dynamics

7 pages, accepted by Physics of Fluids (see http://pof.aip.org/)

Scientific paper

10.1063/1.2890499

To study subregions of a turbulence velocity field, a long record of velocity data of grid turbulence is divided into smaller segments. For each segment, we calculate statistics such as the mean rate of energy dissipation and the mean energy at each scale. Their values significantly fluctuate, in lognormal distributions at least as a good approximation. Each segment is not under equilibrium between the mean rate of energy dissipation and the mean rate of energy transfer that determines the mean energy. These two rates still correlate among segments when their length exceeds the correlation length. Also between the mean rate of energy dissipation and the mean total energy, there is a correlation characterized by the Reynolds number for the whole record, implying that the large-scale flow affects each of the segments.

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