dorsal/arxiv
View SchemaA study of the Navier-Stokes-alpha model for two-dimensional turbulence
| Authors | E. Lunasin, S. Kurien, M. Taylor, E. Titi |
|---|---|
| Categories | |
| ArXiv ID | physics/0702196 |
| URL | https://arxiv.org/abs/physics/0702196 |
| DOI | 10.1080/14685240701439403 |
Abstract
For wavenumbers k such that k * alpha > 1, corresponding to spatial scales smaller than alpha, there are three candidate power laws for the energy spectrum of the Navier-Stokes-alpha model, corresponding to three possible dynamical eddy turnover time scales in the model equations: one from the smoothed field, the second from the rough field and the third from a special combination of the two. Using two-dimensional turbulence as a test case, we measure the scaling of the spectra from high-resolution simulations of the Navier-Stokes-alpha model, in the limit as alpha goes to infinity. We show that the energy spectrum of the smoothed velocity field scales as k^{-7} in the direct enstrophy cascade regime, consistent with dynamics dominated by the time scale of the rough velocity field.
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"abstract": "For wavenumbers k such that k * alpha \u003e 1, corresponding to spatial scales\nsmaller than alpha, there are three candidate power laws for the energy\nspectrum of the Navier-Stokes-alpha model, corresponding to three possible\ndynamical eddy turnover time scales in the model equations: one from the\nsmoothed field, the second from the rough field and the third from a special\ncombination of the two. Using two-dimensional turbulence as a test case, we\nmeasure the scaling of the spectra from high-resolution simulations of the\nNavier-Stokes-alpha model, in the limit as alpha goes to infinity. We show that\nthe energy spectrum of the smoothed velocity field scales as k^{-7} in the\ndirect enstrophy cascade regime, consistent with dynamics dominated by the time\nscale of the rough velocity field.",
"arxiv_id": "physics/0702196",
"authors": [
"E. Lunasin",
"S. Kurien",
"M. Taylor",
"E. Titi"
],
"categories": [
"physics.flu-dyn",
"nlin.CD"
],
"doi": "10.1080/14685240701439403",
"title": "A study of the Navier-Stokes-alpha model for two-dimensional turbulence",
"url": "https://arxiv.org/abs/physics/0702196"
},
"schema_id": "dorsal/arxiv",
"source": {
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"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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