dorsal/arxiv
View SchemaIntermittency in the Enstrophy Cascade of Two-dimensional Fully-developed Turbulence: Universal Features
| Authors | Bhimsen K. Shivamoggi |
|---|---|
| Categories | |
| ArXiv ID | physics/0410109 |
| URL | https://arxiv.org/abs/physics/0410109 |
Abstract
Intermittency (externally induced) in the two-dimensional (2D) enstrophy cascade is shown to be able to maintain a finite enstrophy along with a vorticity conservation anomaly. Intermittency mechanisms of three-dimensional (3D) energy cascade and 2D enstrophy cascade in fully-developed turbulence (FDT) seem to have some universal features. The parabolic-profile approximation (PPA) for the singularity spectrum f(a) in multi-fractal model is used and extended to the appropriate microscale regimes to exhibit these features. The PPA is also shown to afford, unlike the generic multi-fractal model, an analytical calculation of probability distribution functions (PDF) of flow-variable gradients in these FDT cases and to describe intermittency corrections that complement those provided by the homogeneous fractal model.
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"abstract": "Intermittency (externally induced) in the two-dimensional (2D) enstrophy\ncascade is shown to be able to maintain a finite enstrophy along with a\nvorticity conservation anomaly. Intermittency mechanisms of three-dimensional\n(3D) energy cascade and 2D enstrophy cascade in fully-developed turbulence\n(FDT) seem to have some universal features. The parabolic-profile approximation\n(PPA) for the singularity spectrum f(a) in multi-fractal model is used and\nextended to the appropriate microscale regimes to exhibit these features. The\nPPA is also shown to afford, unlike the generic multi-fractal model, an\nanalytical calculation of probability distribution functions (PDF) of\nflow-variable gradients in these FDT cases and to describe intermittency\ncorrections that complement those provided by the homogeneous fractal model.",
"arxiv_id": "physics/0410109",
"authors": [
"Bhimsen K. Shivamoggi"
],
"categories": [
"physics.flu-dyn"
],
"title": "Intermittency in the Enstrophy Cascade of Two-dimensional Fully-developed Turbulence: Universal Features",
"url": "https://arxiv.org/abs/physics/0410109"
},
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