Advection in chaotically time-dependent open flows

Z. Neufeld, T. Tél

Research output: Contribution to journalArticle

51 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2832-2842
Number of pages11
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume57
Issue number3 SUPPL. A
Publication statusPublished - 1998

Fingerprint

Advection
advection
tracers
Ensemble
Random Maps
Point Vortex
incompressible flow
Time Dependence
Incompressible Flow
Fractal Dimension
Hamiltonian Systems
time dependence
Averaging
fractals
Scattering
trajectories
Scaling
vortices
Trajectory
Converge

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Advection in chaotically time-dependent open flows. / Neufeld, Z.; Tél, T.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 57, No. 3 SUPPL. A, 1998, p. 2832-2842.

Research output: Contribution to journalArticle

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