dorsal/arxiv
View SchemaVortex sheet dynamics and turbulence
| Authors | Malek Abid, Alberto Verga |
|---|---|
| Categories | |
| ArXiv ID | physics/0607108 |
| URL | https://arxiv.org/abs/physics/0607108 |
Abstract
The nonlinear evolution of a vortex sheet driven by the Kelvin--Helmholtz instability is characterized by the formation of a spiral possessing complex stretching and intensity patterns. We show that the power energy spectrum of a single two-dimensional vortex sheet tends to the usual fluid turbulent spectrum, with an exponent of -3. Using numerical simulations and asymptotic methods, we demonstrate the relation between this power law and the singularities in the geometry and vorticity distribution of the sheet.
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"abstract": "The nonlinear evolution of a vortex sheet driven by the Kelvin--Helmholtz\ninstability is characterized by the formation of a spiral possessing complex\nstretching and intensity patterns. We show that the power energy spectrum of a\nsingle two-dimensional vortex sheet tends to the usual fluid turbulent\nspectrum, with an exponent of -3. Using numerical simulations and asymptotic\nmethods, we demonstrate the relation between this power law and the\nsingularities in the geometry and vorticity distribution of the sheet.",
"arxiv_id": "physics/0607108",
"authors": [
"Malek Abid",
"Alberto Verga"
],
"categories": [
"physics.class-ph",
"cond-mat.stat-mech"
],
"title": "Vortex sheet dynamics and turbulence",
"url": "https://arxiv.org/abs/physics/0607108"
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