Asymptotic coefficients of the attached-eddy model derived from an adiabatic atmosphere

Qin, Yue; Katul, Gabriel G.; Liu, Heping; Li, Dan

doi:10.1017/jfm.2025.394

Asymptotic coefficients of the attached-eddy model derived from an adiabatic atmosphere

Journal Article · Tue May 13 00:00:00 EDT 2025 · Journal of Fluid Mechanics

DOI:https://doi.org/10.1017/jfm.2025.394· OSTI ID:2566008

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Boston Univ., MA (United States)
Duke Univ., Durham, NC (United States)
Washington State Univ., Pullman, WA (United States)

The attached-eddy model (AEM) predicts that the mean streamwise velocity and streamwise velocity variance profiles follow a logarithmic shape, while the vertical velocity variance remains invariant with height in the overlap region of high Reynolds number wall-bounded turbulent flows. Moreover, the AEM coefficients are presumed to attain asymptotically constant values at very high Reynolds numbers. Here, the AEM predictions are examined using sonic anemometer measurements in the near-neutral atmospheric surface layer, with a focus on the logarithmic behaviour of the streamwise velocity variance. Utilizing an extensive 210-day dataset collected from a 62 m meteorological tower located in the Eastern Snake River Plain, Idaho, USA, the inertial sublayer is first identified by analysing the measured momentum flux and mean velocity profiles. The logarithmic behaviour of the streamwise velocity variance and the associated ‘−1’ scaling of the streamwise velocity energy spectra are then investigated. The findings indicate that the Townsend–Perry coefficient (A₁) is influenced by mild non-stationarity that manifests itself as a Reynolds number dependence. After excluding non-stationary runs, and requiring the bulk Reynolds number defined using the atmospheric boundary layer height to be larger than 4 × 10⁷, the inferred A₁ converges to values ranging between 1 and 1.25, consistent with laboratory experiments. Furthermore, nine benchmark cases selected through a restrictive quality control reveal a close relation between the ‘−1’ scaling in the streamwise velocity energy spectrum and the logarithmic behaviour of streamwise velocity variance. However, additional data are required to determine whether the plateau value of the pre-multiplied streamwise velocity energy spectrum is identical to A₁.

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Research Organization:: Univ. of California, Los Angeles, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Biological and Environmental Research (BER)

Grant/Contract Number:: SC0022072

Other Award/Contract Number:: NSF-AGS-1853354, NSF-AGS-2028633 and NSF-AGS-1853050

OSTI ID:: 2566008

Alternate ID(s):: OSTI ID: 3006802

Journal Information:: Journal of Fluid Mechanics, Journal Name: Journal of Fluid Mechanics Vol. 1011; ISSN 1469-7645; ISSN 0022-1120

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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