dorsal/arxiv
View SchemaThe imprint of large-scale flows on turbulence
| Authors | A. Alexakis, P. D. Mininni, A. Pouquet |
|---|---|
| Categories | |
| ArXiv ID | physics/0507144 |
| URL | https://arxiv.org/abs/physics/0507144 |
| DOI | 10.1103/PhysRevLett.95.264503 |
Abstract
We investigate the locality of interactions in hydrodynamic turbulence using data from a direct numerical simulation on a grid of 1024^3 points; the flow is forced with the Taylor-Green vortex. An inertial range for the energy is obtained in which the flux is constant and the spectrum follows an approximate Kolmogorov law. Nonlinear triadic interactions are dominated by their non-local components, involving widely separated scales. The resulting nonlinear transfer itself is local at each scale but the step in the energy cascade is independent of that scale and directly related to the integral scale of the flow. Interactions with large scales represent 20% of the total energy flux. Possible explanations for the deviation from self-similar models, the link between these findings and intermittency, and their consequences for modeling of turbulent flows are briefly discussed.
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"abstract": "We investigate the locality of interactions in hydrodynamic turbulence using\ndata from a direct numerical simulation on a grid of 1024^3 points; the flow is\nforced with the Taylor-Green vortex. An inertial range for the energy is\nobtained in which the flux is constant and the spectrum follows an approximate\nKolmogorov law. Nonlinear triadic interactions are dominated by their non-local\ncomponents, involving widely separated scales. The resulting nonlinear transfer\nitself is local at each scale but the step in the energy cascade is independent\nof that scale and directly related to the integral scale of the flow.\nInteractions with large scales represent 20% of the total energy flux. Possible\nexplanations for the deviation from self-similar models, the link between these\nfindings and intermittency, and their consequences for modeling of turbulent\nflows are briefly discussed.",
"arxiv_id": "physics/0507144",
"authors": [
"A. Alexakis",
"P. D. Mininni",
"A. Pouquet"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevLett.95.264503",
"title": "The imprint of large-scale flows on turbulence",
"url": "https://arxiv.org/abs/physics/0507144"
},
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