On the origin of non-Gaussian statistics in hydrodynamic turbulence
| dc.creator | Meneveau, C. | |
| dc.creator | Li, Y. | |
| dc.date | 2005-08-29 | |
| dc.date.accessioned | 2026-07-07T05:55:45Z | |
| dc.date.available | 2026-07-07T05:55:45Z | |
| dc.description | Turbulent flows are notoriously difficult to describe and understand based on first principles. One reason is that turbulence contains highly intermittent bursts of vorticity and strain-rate with highly non-Gaussian statistics. Quantitatively, intermittency is manifested in highly elongated tails in the probability density functions of the velocity increments between pairs of points. A long-standing open issue has been to predict the origins of intermittency and non-Gaussian statistics from the Navier-Stokes equations. Here we derive, from the Navier-Stokes equations, a simple nonlinear dynamical system for the Lagrangian evolution of longitudinal and transverse velocity increments. From this system we are able to show that the ubiquitous non-Gaussian tails in turbulence have their origin in the inherent self-amplification of longitudinal velocity increments, and cross amplification of the transverse velocity increments. | |
| dc.description | to be published in PRL, 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0508211 | |
| dc.identifier | http://arxiv.org/abs/physics/0508211 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/87358 | |
| dc.subject | Fluid Dynamics | |
| dc.title | On the origin of non-Gaussian statistics in hydrodynamic turbulence | |
| dc.type | text |