Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance
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...
| 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/1721.1/110979 |
| _version_ | 1826198379961516032 |
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| author | Cho, John Y. N. Anderson, Bruce E. Barrick, John D. W. Thornhill, K. Lee |
| 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 Cho, John Y. N. Anderson, Bruce E. Barrick, John D. W. Thornhill, K. Lee |
| author_sort | Cho, John Y. N. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:03:57Z |
| format | Article |
| id | mit-1721.1/110979 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:03:57Z |
| publishDate | 2017 |
| publisher | American Geophysical Union (AGU) |
| record_format | dspace |
| spelling | mit-1721.1/1109792022-10-01T00:57:08Z Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance Cho, John Y. N. Anderson, Bruce E. Barrick, John D. W. Thornhill, K. Lee Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Cho, John Y. N. Cho, John Y. N. 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. United States. National Aeronautics and Space Administration (Grant NAG1-2173) 2017-08-18T15:20:47Z 2017-08-18T15:20:47Z 2001-12 2000-08 Article http://purl.org/eprint/type/JournalArticle 2169-8996 2169-897X http://hdl.handle.net/1721.1/110979 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 en_US http://dx.doi.org/10.1029/2001JD900079 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 | Cho, John Y. N. Anderson, Bruce E. Barrick, John D. W. Thornhill, K. Lee Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance |
| title | Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance |
| title_full | Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance |
| title_fullStr | Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance |
| title_full_unstemmed | Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance |
| title_short | Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance |
| title_sort | aircraft observations of boundary layer turbulence intermittency and the cascade of energy and passive scalar variance |
| url | http://hdl.handle.net/1721.1/110979 |
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