Vorticity generation by instabilities of chaotic fluid flows

DOI10.1016/S0167-2789(97)80012-7zbMath0941.76036OpenAlexW1964744949MaRDI QIDQ1376441

Edward Ott, Charles Reyl, Thomas M. jun. Antonsen

Publication date: 17 December 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)80012-7

zbMATH Keywords

equivalence principlefractallinear partial differential equationspower-law behaviorhigh Reynolds number flowmultifractal dimension spectrumLagrangian chaotic flowsLyapunov partition functionsperturbed vorticityvorticity wavepacketswavenumber power spectrum

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Hydrodynamic stability (76E99) Dynamical systems approach to turbulence (76F20)

Related Items (3)

Exploratory numerical experiments on the differences between genuine and “passive” turbulence ⋮ Is concentrated vorticity that important? ⋮ Chaotic advection, diffusion, and reactions in open flows

Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Fractal dimensions of fast dynamo magnetic fields
• From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
• Local stability conditions in fluid dynamics
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• Instability criteria for the flow of an inviscid incompressible fluid

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