Large-scale lognormal fluctuations in turbulence velocity fields
arXiv:0810.2166 · doi:10.1063/1.3147936
Abstract
For several flows of laboratory turbulence, we obtain long records of velocity data. These records are divided into numerous segments. In each segment, we calculate the mean rate of energy dissipation, the mean energy at each scale, and the mean total energy. Their values fluctuate significantly among the segments. The fluctuations are lognormal, if the segment length lies within the range of large scales where the velocity correlations are weak but not yet absent. Since the lognormality is observed regardless of the Reynolds number and the configuration for turbulence production, it is expected to be universal. The likely origin is some multiplicative stochastic process related to interactions among scales through the energy transfer.
9 pages, accepted by Physics of Fluids (see http://pof.aip.org)
References in corpus (2)
Cited by in corpus (13)
- Log-normal distribution from a process that is not multiplicative but is additive
- Connecting steady emission and Very High Energy flaring states in blazars: the case of Mrk 421
- Imaging-spectroscopy of a band-split type II solar radio burst with the Murchison Widefield Array
- Long-time properties of MHD turbulence and the role of symmetries
- Large-scale length that determines the mean rate of energy dissipation in turbulence
- Temporal large-scale intermittency and its impact on the statistics of turbulence
- Two-point velocity average of turbulence: statistics and their implications
- Statistical mechanics and large-scale velocity fluctuations of turbulence
- Large-scale lognormality in turbulence modeled by Ornstein-Uhlenbeck process
- Jovian Vortex Hunter: a citizen science project to study Jupiter's vortices
- Log-stable law of energy dissipation as a framework of turbulence intermittency
- Momentum flux fluctuations in wall turbulence: a formula beyond the law of the wall
- Maximum Entropy in Turbulence