dorsal/arxiv
View SchemaA model for rapid stochastic distortions of small-scale turbulence
| Authors | B. Dubrulle, J. -P. Laval, S. Nazarenko, O. Zaboronski |
|---|---|
| Categories | |
| ArXiv ID | physics/0304035 |
| URL | https://arxiv.org/abs/physics/0304035 |
| DOI | 10.1017/S0022112004001417 |
Abstract
We present a model describing evolution of the small-scale Navier-Stokes turbulence due to its stochastic distortions by much larger turbulent scales. This study is motivated by numerical findings (laval, 2001) that such interactions of separated scales play important role in turbulence intermittency. We introduce description of turbulence in terms of the moments of the k-space quantities using a method previously developed for the kinematic dynamo problem (Nazarenko, 2003). Working with the $k$-space moments allows to introduce new useful measures of intermittency such as the mean polarization and the spectral flatness. Our study of the 2D turbulence shows that the energy cascade is scale invariant and Gaussian whereas the enstrophy cascade is intermittent. In 3D, we show that the statistics of turbulence wavepackets deviates from gaussianity toward dominance of the plane polarizations. Such turbulence is formed by ellipsoids in the $k$-space centered at its origin and having one large, one neutral and one small axes with the velocity field pointing parallel to the smallest axis.
{
"annotation_id": "c65c61d5-1ae0-4936-9e19-d57c5a426254",
"date_created": "2026-03-02T18:00:43.554000Z",
"date_modified": "2026-03-02T18:00:43.554000Z",
"file_hash": "5ba2d6738fc1cfd64e35e9c46a4d785a5908db0e9b9d4fff95e522d0e7ddef6d",
"private": false,
"record": {
"abstract": "We present a model describing evolution of the small-scale Navier-Stokes\nturbulence due to its stochastic distortions by much larger turbulent scales.\nThis study is motivated by numerical findings (laval, 2001) that such\ninteractions of separated scales play important role in turbulence\nintermittency. We introduce description of turbulence in terms of the moments\nof the k-space quantities using a method previously developed for the kinematic\ndynamo problem (Nazarenko, 2003). Working with the $k$-space moments allows to\nintroduce new useful measures of intermittency such as the mean polarization\nand the spectral flatness. Our study of the 2D turbulence shows that the energy\ncascade is scale invariant and Gaussian whereas the enstrophy cascade is\nintermittent. In 3D, we show that the statistics of turbulence wavepackets\ndeviates from gaussianity toward dominance of the plane polarizations. Such\nturbulence is formed by ellipsoids in the $k$-space centered at its origin and\nhaving one large, one neutral and one small axes with the velocity field\npointing parallel to the smallest axis.",
"arxiv_id": "physics/0304035",
"authors": [
"B. Dubrulle",
"J. -P. Laval",
"S. Nazarenko",
"O. Zaboronski"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph",
"physics.geo-ph"
],
"doi": "10.1017/S0022112004001417",
"title": "A model for rapid stochastic distortions of small-scale turbulence",
"url": "https://arxiv.org/abs/physics/0304035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2c8e6162-f6ed-4acc-88ba-8f5ffdc6a06d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}