Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance
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Author(s) • • •
Cho, John Y. N.
Anderson, Bruce E.
Barrick, John D. W.
Thornhill, K. Lee
Date Issued
December 2001
Journal
Journal of Geophysical Research: Atmospheres
Publisher
American Geophysical Union (AGU)
Citation
Cho, John Y. N. et al. “Aircraft Observations of Boundary Layer Turbulence: Intermittency and the Cascade of Energy and Passive Scalar Variance.” Journal of Geophysical Research: Atmospheres 106, D23 (December 2001): 32469–32479 © 2001 American Geophysical Union
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Final published version
Abstract
We analyze boundary layer velocity and temperature measurements acquired by aircraft at 22 Hz. The calculated longitudinal velocity third-order structure function yields approximate agreement with Kolmogorov's four-fifths law for the scale range ∼10–100 m with a downscale energy flux of ∼4×10⁻⁵ m² s⁻³. For scales greater than ∼10 km the sign is reversed, implying an inverse energy cascade with an estimated flux of ∼10⁻⁵ m⁻² s⁻³ associated with two-dimensional stratified turbulence. The mixed structure function of longitudinal velocity and squared temperature increment follows Yaglom's four-thirds law in the same scale range, yielding an estimated downscale temperature variance flux of ∼5×10⁻⁷ K² s⁻¹. Analysis of higher-order structure functions yields anomalous scaling for both velocity and temperature. The scaling also reveals second-order multifractal phase transitions for both velocity and temperature data. Above the transition moments, asymptotes varying with the number of realizations argue against the log-Poisson model. The log-Levy model is better able to explain the observed characteristics.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
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DOI of Published Version
https://doi.org/10.1029/2001JD900079