Turbulent dissipation rates and the random occurrence of coherent events

Alan C. Newell; David A. Rand; David Russell

doi:10.1016/0375-9601(88)90264-2

Turbulent dissipation rates and the random occurrence of coherent events

Alan C. Newell, David A. Rand, David Russell

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Abstract

In this Letter, 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 that correspond to certain orbits which we call homoclinic excursions in the high dimensional strange attractor. Homoclinic excursions are trajectories in the non-compact phase space that are attracted to special orbits which connect saddle points in the finite region of phase space to infinity and represent coherent structures in the flow field.

Original language	English (US)
Pages (from-to)	112-123
Number of pages	12
Journal	Physics Letters A
Volume	132
Issue number	2-3
DOIs	https://doi.org/10.1016/0375-9601(88)90264-2
State	Published - Sep 26 1988

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(88)90264-2

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abstract = "In this Letter, 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 that correspond to certain orbits which we call homoclinic excursions in the high dimensional strange attractor. Homoclinic excursions are trajectories in the non-compact phase space that are attracted to special orbits which connect saddle points in the finite region of phase space to infinity and represent coherent structures in the flow field.",

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AU - Rand, David A.

AU - Russell, David

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N2 - In this Letter, 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 that correspond to certain orbits which we call homoclinic excursions in the high dimensional strange attractor. Homoclinic excursions are trajectories in the non-compact phase space that are attracted to special orbits which connect saddle points in the finite region of phase space to infinity and represent coherent structures in the flow field.

AB - In this Letter, 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 that correspond to certain orbits which we call homoclinic excursions in the high dimensional strange attractor. Homoclinic excursions are trajectories in the non-compact phase space that are attracted to special orbits which connect saddle points in the finite region of phase space to infinity and represent coherent structures in the flow field.

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Turbulent dissipation rates and the random occurrence of coherent events

Abstract

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