Passive tracer patchiness and particle trajectory stability in incompressible two-dimensional flows

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2 Citations (Scopus)

Abstract

Particle motion is considered in incompressible two-dimensional flows consisting of a steady background gyre on which an unsteady wave-like perturbation is superimposed. A dynamical systems point of view that exploits the action-angle formalism is adopted. It is argued and demonstrated numerically that for a large class of problems one expects to observe a mixed phase space, i.e. the occurrence of "regular islands" in an otherwise "chaotic sea." This leads to patchiness in the evolution of passive tracer distributions. Also, it is argued and demonstrated numerically that particle trajectory stability is largely controlled by the background flow: trajectory instability, quantified by various measures of the "degree of chaos," increases on average with increasing |dω/dI|, where ω(I) is the angular frequency of the trajectory in the background flow and I is the action.

Original languageEnglish (US)
Pages (from-to)67-74
Number of pages8
JournalNonlinear Processes in Geophysics
Volume11
Issue number1
StatePublished - 2004

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incompressible flow
two dimensional flow
two-dimensional flow
particle trajectories
patchiness
tracers
tracer
trajectory
Trajectories
trajectories
particle motion
dynamical systems
chaos
chaotic dynamics
occurrences
formalism
gyre
Chaos theory
perturbation
Dynamical systems

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics
  • Statistical and Nonlinear Physics

Cite this

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abstract = "Particle motion is considered in incompressible two-dimensional flows consisting of a steady background gyre on which an unsteady wave-like perturbation is superimposed. A dynamical systems point of view that exploits the action-angle formalism is adopted. It is argued and demonstrated numerically that for a large class of problems one expects to observe a mixed phase space, i.e. the occurrence of {"}regular islands{"} in an otherwise {"}chaotic sea.{"} This leads to patchiness in the evolution of passive tracer distributions. Also, it is argued and demonstrated numerically that particle trajectory stability is largely controlled by the background flow: trajectory instability, quantified by various measures of the {"}degree of chaos,{"} increases on average with increasing |dω/dI|, where ω(I) is the angular frequency of the trajectory in the background flow and I is the action.",
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AU - Beron-Vera, Francisco J

AU - Olascoaga, Maria J

AU - Brown, Michael G

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AB - Particle motion is considered in incompressible two-dimensional flows consisting of a steady background gyre on which an unsteady wave-like perturbation is superimposed. A dynamical systems point of view that exploits the action-angle formalism is adopted. It is argued and demonstrated numerically that for a large class of problems one expects to observe a mixed phase space, i.e. the occurrence of "regular islands" in an otherwise "chaotic sea." This leads to patchiness in the evolution of passive tracer distributions. Also, it is argued and demonstrated numerically that particle trajectory stability is largely controlled by the background flow: trajectory instability, quantified by various measures of the "degree of chaos," increases on average with increasing |dω/dI|, where ω(I) is the angular frequency of the trajectory in the background flow and I is the action.

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