A spectral budget model for the longitudinal turbulent velocity in the stable atmospheric surface layer

Banerjee, Tirtha; Li, Dan; Juang, Jehn-Yih; Katul, Gabriel

doi:10.1175/JAS-D-15-0066.1

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A spectral budget model for the longitudinal turbulent velocity in the stable atmospheric surface layer

2016
By Banerjee, Tirtha ; Li, Dan ; Juang, Jehn-Yih ; ...
Source: Journal of the Atmospheric Sciences, 73(1), 145-166

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Journal Title:

Journal of the Atmospheric Sciences
Personal Author:

Banerjee, Tirtha ; Li, Dan ; Juang, Jehn-Yih ; Katul, Gabriel

Banerjee, Tirtha ; Li, Dan ; Juang, Jehn-Yih ; Katul, Gabriel Less -
NOAA Program & Office:

OAR (Oceanic and Atmospheric Research) ; GFDL (Geophysical Fluid Dynamics Laboratory) ; CICSP (Cooperative Institute for Climate Science)

OAR (Oceanic and Atmospheric Research) ; GFDL (Geophysical Fluid Dynamics Laboratory) ; CICSP (Cooperative Institute for Climate Science) Less -
Description:

A spectral budget model is developed to describe the scaling behavior of the longitudinal turbulent velocity variance with the stability parameter and the normalized height in an idealized stably stratified atmospheric surface layer (ASL), where z is the height from the surface, L is the Obukhov length, and δ is the boundary layer height. The proposed framework employs Kolmogorov’s hypothesis for describing the shape of the longitudinal velocity spectra in the inertial subrange, Heisenberg’s eddy viscosity as a closure for the pressure redistribution and turbulent transfer terms, and the Monin–Obukhov similarity theory (MOST) scaling for linking the mean longitudinal velocity and temperature profiles to ζ. At a given friction velocity , reduces with increasing ζ as expected. The model is consistent with the disputed z-less stratification when the stability correction function for momentum increases with increasing ζ linearly or as a power law with the exponent exceeding unity. For the Businger–Dyer stability correction function for momentum, which varies linearly with ζ, the limit of the z-less onset is . The proposed framework explains why does not follow MOST scaling even when the mean velocity and temperature profiles may follow MOST in the ASL. It also explains how δ ceases to be a scaling variable in more strongly stable (although well-developed turbulent) ranges.
Keywords:

[+]

Atmosphere-land Interaction Boundary Layer Circulation Eddies Turbulence
Source:

Journal of the Atmospheric Sciences, 73(1), 145-166
DOI:

https://doi.org/10.1175/JAS-D-15-0066.1
Document Type:

Journal Article
Funding:

Grant no. NA08OAR4320752
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urn:sha256:052f12af92daca016169b7eaea2bf2770ffbcd1bc8c4da051457a5e6e4bf52a9
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https://repository.library.noaa.gov/view/noaa/29840/noaa_29840_DS1.pdf
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A spectral budget model for the longitudinal turbulent velocity in the stable atmospheric surface layer

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