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Conference Paper

A wavenumber-frequency spectral model for atmospheric boundary layers


Wilczek,  Michael
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Wilczek, M., Stevens, R. J. A. M., Narita, Y., & Meneveau, C. (2014). A wavenumber-frequency spectral model for atmospheric boundary layers. In Science of Making Torque from Wind 2014 (TORQUE 2014). Bristol, England: IOP Publishing ltd.

Cite as: https://hdl.handle.net/21.11116/0000-0003-E07E-3
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.