Turbulent transport and the random occurence of coherent events

Alan C Newell, David A. Rand, David Russell

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

We suggest that the transport properties and dissipation rates of a wide class of turbulent flows are determined by the random occurrence of coherent events which correspond to certain orbits which we call homoclinic excursions in the high dimensional strange attractor. Homoclinic excursions are trajectories in the noncompact phase space that are attracted to special orbits which connect saddle points in the finite region of phase space to infinity and represent organized structures in the flow field. This picture also suggests that one can compute fluxes using a relatively low dimensional description of the flow. A method for extracting the organized structures from a time-series is given and provides a local analogue of the notion of Lyapunov exponents.

Original languageEnglish (US)
Pages (from-to)281-303
Number of pages23
JournalPhysica D: Nonlinear Phenomena
Volume33
Issue number1-3
DOIs
StatePublished - 1988

Fingerprint

Excursion
Homoclinic
Phase Space
Orbits
Orbit
orbits
strange attractors
Strange attractor
Transport Properties
saddle points
Saddlepoint
Turbulent Flow
Lyapunov Exponent
turbulent flow
Transport properties
infinity
Turbulent flow
Flow Field
Dissipation
Time series

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Turbulent transport and the random occurence of coherent events. / Newell, Alan C; Rand, David A.; Russell, David.

In: Physica D: Nonlinear Phenomena, Vol. 33, No. 1-3, 1988, p. 281-303.

Research output: Contribution to journalArticle

Newell, Alan C ; Rand, David A. ; Russell, David. / Turbulent transport and the random occurence of coherent events. In: Physica D: Nonlinear Phenomena. 1988 ; Vol. 33, No. 1-3. pp. 281-303.
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