F. Porte-agel et al., A priori field study of the subgrid-scale heat fluxes and dissipation in the atmospheric surface layer, J ATMOS SCI, 58(18), 2001, pp. 2673-2698
Field measurements are carried out to study statistical properties of the s
ubgrid-scale (SGS) heat fluxes and SGS dissipation of temperature variance
in the atmospheric surface layer, and to evaluate the ability of several SG
S models to reproduce these properties. The models considered are the tradi
tional eddy-diffusion model, the nonlinear (gradient) model, and a mixed mo
del that is a linear combination of the other two. High-resolution wind vel
ocity and temperature fields are obtained from arrays of 3D sonic anemomete
rs placed in the surface layer. The basic setup consists of two horizontal
parallel arrays (seven sensors in the lower array and five sensors in the u
pper array) at different heights (2.4 and 2.9 m, respectively). Data from t
his setup are used to compute the SGS heat flux and dissipation of temperat
ure variance by means of 2D filtering in horizontal planes, invoking Taylor
's hypothesis. Model coefficients are measured from the data by requiring t
he real and modeled time-averaged dissipation rates to match. Various other
experimental setups that differ mainly in the separation between the senso
rs are utilized to show that filter size has a considerable effect on the v
arious model coefficients near the ground. For the basic setup, conditional
averaging is used to study the relation between large-scale coherent struc
tures (sweeps and ejections) and the SGS quantities. It is found that under
unstable conditions, negative SGS dissipation, indicative of backscatter o
f temperature variance from the subgrid scales to the resolved field, is mo
st important during the onset of ejections transporting relatively warm air
upward. Large positive SGS dissipation of temperature variance is associat
ed with the end of ejections (and/or the onset of sweeps) characterized by
strong drops in temperature and vertical velocity under unstable conditions
. These results are also supported by conditionally sampled 2D (streamwise
and vertical) velocity and temperature distributions, obtained using an add
itional setup consisting of the 12 anemometers placed in a vertical array.
The nonlinear and mixed model reproduce the observations better than the ed
dy-diffusion model.