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The dimension of attractors underlying periodic turbulent Poiseuille flowA lower bound on the Liapunov dimenison, D-lambda, of the attractor underlying turbulent, periodic Poiseuille flow at a pressure-gradient Reynolds number of 3200 is calculated, on the basis of a coarse-grained (16x33x8) numerical solution, to be approximately 352. Comparison of Liapunov exponent spectra from this and a higher-resolution (16x33x16) simulation on the same spatial domain shows these spectra to have a universal shape when properly scaled. On the basis of these scaling properties, and a partial exponent spectrum from a still higher-resolution (32x33x32) simulation, it is argued that the actual dimension of the attractor underlying motion of the given computational domain is approximately 780. It is suggested that this periodic turbulent shear flow is deterministic chaos, and that a strange attractor does underly solutions to the Navier-Stokes equations in such flows.
Document ID
19930027554
Document Type
Reprint (Version printed in journal)
Authors
Keefe, Laurence (NASA Ames Research Center Moffett Field, CA, United States)
Moin, Parviz (Stanford Univ.; NASA, Ames Research Center Moffett Field, CA, United States)
Kim, John (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 15, 2013
Publication Date
September 1, 1992
Publication Information
Publication: Journal of Fluid Mechanics
ISSN: 0022-1120
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-88-0056
Distribution Limits
Public
Copyright
Other