Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations
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 turbulenc...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Geophysical Union (AGU)
2017
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| Online Access: | http://hdl.handle.net/1721.1/110976 |
| _version_ | 1811088517180162048 |
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| author | Lindborg, Erik Cho, John Y. N. |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Lindborg, Erik Cho, John Y. N. |
| author_sort | Lindborg, Erik |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:03:24Z |
| format | Article |
| id | mit-1721.1/110976 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:03:24Z |
| publishDate | 2017 |
| publisher | American Geophysical Union (AGU) |
| record_format | dspace |
| spelling | mit-1721.1/1109762022-09-28T18:01:54Z Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations Lindborg, Erik Cho, John Y. N. Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Cho, John Y. N. Cho, John Y. N. 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. United States. National Aeronautics and Space Administration (Grant NAG1-2306) 2017-08-18T14:58:55Z 2017-08-18T14:58:55Z 2001-05 2000-04 Article http://purl.org/eprint/type/JournalArticle 2169-8996 2169-897X http://hdl.handle.net/1721.1/110976 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 en_US http://dx.doi.org/10.1029/2000JD900815 Journal of Geophysical Research: Atmospheres 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. application/pdf American Geophysical Union (AGU) Cho |
| spellingShingle | Lindborg, Erik Cho, John Y. N. Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations |
| title | Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations |
| title_full | Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations |
| title_fullStr | Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations |
| title_full_unstemmed | Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations |
| title_short | Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 2. Theoretical considerations |
| title_sort | horizontal velocity structure functions in the upper troposphere and lower stratosphere 2 theoretical considerations |
| url | http://hdl.handle.net/1721.1/110976 |
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