dorsal/arxiv
View SchemaNon-locality and Intermittency in 3D Turbulence
| Authors | J. -P. Laval, B. Dubrulle, S. Nazarenko |
|---|---|
| Categories | |
| ArXiv ID | physics/0101036 |
| URL | https://arxiv.org/abs/physics/0101036 |
| DOI | 10.1063/1.1373686 |
| Journal | Physics of Fluids, vol 13, pp 1995-2012 (2001) |
Abstract
Numerical simulations are used to determine the influence of the non-local and local interactions on the intermittency corrections in the scaling properties of 3D turbulence. We show that neglect of local interactions leads to an enhanced small-scale energy spectrum and to a significantly larger number of very intense vortices (tornadoes) and stronger intermittency. On the other hand, neglect of the non-local interactions results in even stronger small-scale spectrum but significantly weaker intermittency. Based on these observations, a new model of turbulence is proposed, in which non-local (RDT-like) interactions couple large and small scale via a multiplicative process with additive noise and the local interactions are modeled by a turbulent viscosity. This model is used to derive a simple toy version of the Langevin equations for small-scale velocity increments. A Gaussian approximation for the large scale fields yields the Fokker-Planck equation for the probability distribution function of the velocity increments. Steady state solutions of this equation allows to qualitatively explain the anomalous corrections and the skewness generation along scale.
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"abstract": "Numerical simulations are used to determine the influence of the non-local\nand local interactions on the intermittency corrections in the scaling\nproperties of 3D turbulence. We show that neglect of local interactions leads\nto an enhanced small-scale energy spectrum and to a significantly larger number\nof very intense vortices (tornadoes) and stronger intermittency. On the other\nhand, neglect of the non-local interactions results in even stronger\nsmall-scale spectrum but significantly weaker intermittency. Based on these\nobservations, a new model of turbulence is proposed, in which non-local\n(RDT-like) interactions couple large and small scale via a multiplicative\nprocess with additive noise and the local interactions are modeled by a\nturbulent viscosity. This model is used to derive a simple toy version of the\nLangevin equations for small-scale velocity increments. A Gaussian\napproximation for the large scale fields yields the Fokker-Planck equation for\nthe probability distribution function of the velocity increments.\n Steady state solutions of this equation allows to qualitatively explain the\nanomalous corrections and the skewness generation along scale.",
"arxiv_id": "physics/0101036",
"authors": [
"J. -P. Laval",
"B. Dubrulle",
"S. Nazarenko"
],
"categories": [
"physics.flu-dyn",
"nlin.CD",
"physics.ao-ph"
],
"doi": "10.1063/1.1373686",
"journal_ref": "Physics of Fluids, vol 13, pp 1995-2012 (2001)",
"title": "Non-locality and Intermittency in 3D Turbulence",
"url": "https://arxiv.org/abs/physics/0101036"
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