dorsal/arxiv
View SchemaInvariants of free turbulent decay
| Authors | Antoine Llor |
|---|---|
| Categories | |
| ArXiv ID | physics/0612220 |
| URL | https://arxiv.org/abs/physics/0612220 |
Abstract
In practically all turbulent flows, turbulent energy decay is present and competes with numerous other phenomena. In Kolmogorov's theory, decay proceeds by transfer from large energy-containing scales towards small viscous scales through the "inertial cascade." Yet, this description cannot predict an actual decay rate, even in the simplest case of homogeneous isotropic turbulence (HIT). As empirically observed over 50 years, the steepness of the "infrared" spectrum - at scales larger than energy-containing eddies - determines decay, but theoretical understanding is still missing. Here, HIT decay laws are derived from angular momentum invariance at large scales - an approach first mentioned by Landau in 1944, but unduly dismissed later. This invariance also predicts the so-far unexplored turbulence decay in layer, tube, and spot zones in a fluid at rest. Beyond expanded and simplified theoretical descriptions, these findings suggest new practical modeling strategies for turbulent dissipation, often deficient in applied simulations.
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"abstract": "In practically all turbulent flows, turbulent energy decay is present and\ncompetes with numerous other phenomena. In Kolmogorov\u0027s theory, decay proceeds\nby transfer from large energy-containing scales towards small viscous scales\nthrough the \"inertial cascade.\" Yet, this description cannot predict an actual\ndecay rate, even in the simplest case of homogeneous isotropic turbulence\n(HIT). As empirically observed over 50 years, the steepness of the \"infrared\"\nspectrum - at scales larger than energy-containing eddies - determines decay,\nbut theoretical understanding is still missing. Here, HIT decay laws are\nderived from angular momentum invariance at large scales - an approach first\nmentioned by Landau in 1944, but unduly dismissed later. This invariance also\npredicts the so-far unexplored turbulence decay in layer, tube, and spot zones\nin a fluid at rest. Beyond expanded and simplified theoretical descriptions,\nthese findings suggest new practical modeling strategies for turbulent\ndissipation, often deficient in applied simulations.",
"arxiv_id": "physics/0612220",
"authors": [
"Antoine Llor"
],
"categories": [
"physics.flu-dyn"
],
"title": "Invariants of free turbulent decay",
"url": "https://arxiv.org/abs/physics/0612220"
},
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