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 language | English |
|---|---|
| Pages (from-to) | 2832-2842 |
| Number of pages | 11 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 57 |
| Issue number | 3 SUPPL. A |
| Publication status | Published - 1998 |
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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 journal › Article
}
TY - JOUR
T1 - Advection in chaotically time-dependent open flows
AU - Neufeld, Z.
AU - Tél, T.
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000198245&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000198245&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0000198245
VL - 57
SP - 2832
EP - 2842
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 3 SUPPL. A
ER -