Chaotic Advection of a Passive Admixture in a Circular Barotropic Jet Flow

— The chaotic advection of a passive admixture during the excitation of chains of vortex structures in circular barotropic flows with a complex two-jet velocity profile simulating mesoscale zonal flows in the ocean, the Earth’s atmosphere, and laboratory experiments is studied studied. Most attentio...

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Bibliographic Details
Published in:Izvestiya. Atmospheric and oceanic physics 2022-10, Vol.58 (5), p.440-449
Main Authors: Reutov, V. P., Rybushkina, G. V.
Format: Article
Language:English
Subjects:
Admixtures
Advection
Barotropic flow
Barotropic mode
Barotropic vortices
Chaos
Climatology
Earth and Environmental Science
Earth Sciences
Geophysics/Geodesy
Jet flow
Jet stream
Jet streams (meteorology)
Laboratory experimentation
Laboratory experiments
Liapunov exponents
Streams
Two dimensional flow
Velocity
Velocity distribution
Velocity profiles
Zonal flow
Zonal flow (meteorology)
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Summary:— The chaotic advection of a passive admixture during the excitation of chains of vortex structures in circular barotropic flows with a complex two-jet velocity profile simulating mesoscale zonal flows in the ocean, the Earth’s atmosphere, and laboratory experiments is studied studied. Most attention is focused on chaotic advection in the regime of Eulerian dynamical chaos. The description of the generation of structures is based on the numerical solution of the equations of a barotropic (quasi-two-dimensional) flow, taking into account external friction and the beta effect. Zero flow and no-slip conditions are imposed at the walls of the circular channel. The critical values of the parameters at the threshold of instability are found, and the transition to Eulerian chaos in two-jet streams with a complex velocity profile is studied. Basing on a calculation of the finite-time Lyapunov exponent, regions of the circular flow in which the Lagrangian chaos (stochastic mixing) arises are determined. It is shown that, as a result of the expansion of the regions of stochastic mixing during the transition to the Eulerian chaos regime, the propagation of an initially localized passive admixture over the entire volume of the flow is possible. Estimates are given that confirm the possibility of observing the effects in real conditions.
ISSN:0001-4338
1555-628X
DOI:10.1134/S0001433822050103