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Abstract:
Motivated by the need to characterize power fluctuations in wind farms,
we study spatio-temporal correlations of a neutral atmospheric boundary
layer in terms of the joint wavenumber-frequency spectrum of the
streamwise velocity fluctuations. To this end, we perform a theoretical
analysis of a simple advection model featuring the advection of
small-scale velocity fluctuations by the mean flow and large-scale
velocity fluctuations. The model is compared to data from large-eddy
simulations (LES). We find that the model captures the trends observed
in LES, specifically a Doppler shift of frequencies due to the mean flow
as well as a Doppler broadening due to random sweeping effects.