Similarity statistics from a direct numerical simulation of the neutrally stratified planetary boundary layer.
Journal of the Atmospheric Sciences, 56, (6), . (doi:10.1175/1520-0469(1999)056<0891:SSFADN>2.0.CO;2).
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The turbulent flow in the unstratified Ekman layer over a smooth surface for the case of no horizontal rotation
has been simulated. All relevant scales of motion are resolved so that no subgrid-scale parameterization is
needed. The Reynolds number Re, while much smaller than those found in the atmosphere, is large enough that
the flow exhibits a distinct logarithmic surface layer and yields shear-stress statistics that, to a good approximation,
satisfy Reynolds number similarity. Agreement with shear-stress profiles from large eddy simulations is good,
especially when latitude and geostrophic wind direction are taken into account. Results are used to estimate the
ratio of the boundary layer depth to the Ekman scale u
/ f and the similarity constants needed to determine the
geostrophic drag coefficient u
/G and surface-stress angle a0 in the Re ?? limit characteristic of the neutral
planetary boundary layer
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