Advection in chaotically time-dependent open flows

Neufeld, Z. and Tel, T. (1998) Advection in chaotically time-dependent open flows. Physical Review E, 57 3 Supplement A: 2832-2842. doi:10.1103/PhysRevE.57.2832

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Author Neufeld, Z.
Tel, T.
Title Advection in chaotically time-dependent open flows
Journal name Physical Review E   Check publisher's open access policy
ISSN 1095-3787
Publication date 1998
Sub-type Article (original research)
DOI 10.1103/PhysRevE.57.2832
Open Access Status File (Publisher version)
Volume 57
Issue 3 Supplement A
Start page 2832
End page 2842
Total pages 11
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract The passive advection of tracer panicles is considered in open two-dimensional incompressible flows with chaotic time dependence. As illustrative examples we investigate flows produced by chaotically moving ideal point vortices. The advection problem can be seen as a chaotic scattering process in a chaotically driven Hamiltonian system. Studying the motion of tracer ensembles, we present numerical evidence for the existence of a bounded chaotic set containing infinitely many aperiodic trajectories never leaving the mixing region of the flow. These ensembles converge to filamental patterns which, however, do not follow self-similar scaling. Nevertheless, they possess a fractal dimension after averaging over several finite-time realizations of the flow. We propose random maps as simple models of the phenomenon.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Created: Thu, 28 Jun 2012, 13:08:58 EST by Zoltan Neufeld on behalf of Mathematics