Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations
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LindborgCho-2001.pdf
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Author(s)
Lindborg, Erik
Cho, John Y. N.
Date Issued
May 2001
Journal
Journal of Geophysical Research: Atmospheres
Publisher
American Geophysical Union (AGU)
Citation
Lindborg, Erik and Cho, John Y. N. “Horizontal Velocity Structure Functions in the Upper Troposphere and Lower Stratosphere: 2. Theoretical Considerations.” Journal of Geophysical Research: Atmospheres 106, D10 (May 2001): 10233–10241 © 2001 American Geophysical Union
Version
Final published version
Abstract
The Kolmogorov equation for the third-order velocity structure function is derived for atmospheric mesoscale motions on an f plane. A possible solution is a negative third-order structure function, varying linearly with separation distance and mean dissipation, just as in three-dimensional turbulence, but with another scaling constant. On the basis of the analysis and the observed stratospheric third-order structure function, it is argued that there is a forward energy cascade in the mesoscale range of atmospheric motions. The off-diagonal part of the general tensor equation is also studied. In this equation there is an explicit Coriolis term that may be crucial for the understanding of the kinetic energy spectrum at scales larger than 100 km.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1029/2000JD900815
