Cr. Chu et al., PROBABILITY DENSITY-FUNCTIONS OF TURBULENT VELOCITY AND TEMPERATURE IN THE ATMOSPHERIC SURFACE-LAYER, Water resources research, 32(6), 1996, pp. 1681-1688
The probability density functions (pdf's) for the longitudinal and ver
tical velocities, temperature, their derivatives, and momentum and sen
sible heat fluxes were measured in the atmospheric surface layer for a
wide range of atmospheric stability conditions. The measured pdf's fo
r both the velocity and the temperature fluctuations are near-Gaussian
and consistent with corresponding laboratory measurements for near-ne
utral and stable stability conditions. Hence the first- and second-ord
er moments are sufficient to predict the heat and momentum flux pdf's.
The lower-order moments can be estimated from mean meteorological con
ditions using surface layer similarity theory. For unstable conditions
the pdf for temperature is non-Gaussian and is strongly skewed due to
local convective thermal plumes. For near-neutral and stable conditio
ns the pdf's for the velocity and temperature longitudinal gradients h
ave long exponential tails, in agreement with findings in laboratory e
xperiments and numerical simulations.