dorsal/arxiv
View SchemaScaling and energy transfer in rotating turbulence
| Authors | Wolf-Christian Mueller, Mark Thiele |
|---|---|
| Categories | |
| ArXiv ID | physics/0612207 |
| URL | https://arxiv.org/abs/physics/0612207 |
| DOI | 10.1209/0295-5075/77/34003 |
Abstract
The inertial-range properties of quasi-stationary hydrodynamic turbulence under solid-body rotation are studied via high-resolution direct numerical simulations. For strong rotation the nonlinear energy cascade exhibits depletion and a pronounced anisotropy with the energy flux proceeding mainly perpendicularly to the rotation axis. This corresponds to a transition towards a quasi-two-dimensional flow similar to a linear Taylor-Proudman state. In contrast to the energy spectrum along the rotation axis which does not scale self-similarly, the perpendicular spectrum displays an inertial range with $k^{-2}_\perp$-behavior. A new phenomenology gives a rationale for the observations. The scaling exponents $\zeta_p$ of structure functions up to order $p=8$ measured perpendicular to the rotation axis indicate reduced intermittency with increasing rotation rate. The proposed phenomenology is consistent with the inferred asymptotic non-intermittent behavior $\zeta_p=p/2$.
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"abstract": "The inertial-range properties of quasi-stationary hydrodynamic turbulence\nunder solid-body rotation are studied via high-resolution direct numerical\nsimulations. For strong rotation the nonlinear energy cascade exhibits\ndepletion and a pronounced anisotropy with the energy flux proceeding mainly\nperpendicularly to the rotation axis. This corresponds to a transition towards\na quasi-two-dimensional flow similar to a linear Taylor-Proudman state. In\ncontrast to the energy spectrum along the rotation axis which does not scale\nself-similarly, the perpendicular spectrum displays an inertial range with\n$k^{-2}_\\perp$-behavior. A new phenomenology gives a rationale for the\nobservations. The scaling exponents $\\zeta_p$ of structure functions up to\norder $p=8$ measured perpendicular to the rotation axis indicate reduced\nintermittency with increasing rotation rate. The proposed phenomenology is\nconsistent with the inferred asymptotic non-intermittent behavior\n$\\zeta_p=p/2$.",
"arxiv_id": "physics/0612207",
"authors": [
"Wolf-Christian Mueller",
"Mark Thiele"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1209/0295-5075/77/34003",
"title": "Scaling and energy transfer in rotating turbulence",
"url": "https://arxiv.org/abs/physics/0612207"
},
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