A wavenumber-frequency spectral model for atmospheric boundary layers

Michael Wilczek; Richard J.A.M. Stevens; Yasuhito Narita; Charles Meneveau

doi:10.1088/1742-6596/524/1/012104

A wavenumber-frequency spectral model for atmospheric boundary layers

Michael Wilczek, Richard J.A.M. Stevens, Yasuhito Narita, Charles Meneveau

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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.

Original language	English
Article number	012104
Journal	Journal of physics: Conference series
Volume	524
DOIs	https://doi.org/10.1088/1742-6596/524/1/012104
Publication status	Published - 2014
Event	The Science of Making Torque from Wind, TORQUE 2014 - Copenhagen, Denmark Duration: 18 Jun 2014 → 20 Jun 2014

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Wilczek2014wavenumberFinal published version, 1.67 MBLicence: CC BY

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title = "A wavenumber-frequency spectral model for atmospheric boundary layers",

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.",

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journal = "Journal of physics: Conference series",

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T1 - A wavenumber-frequency spectral model for atmospheric boundary layers

AU - Wilczek, Michael

AU - Stevens, Richard J.A.M.

AU - Narita, Yasuhito

AU - Meneveau, Charles

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

U2 - 10.1088/1742-6596/524/1/012104

DO - 10.1088/1742-6596/524/1/012104

M3 - Article

SN - 1742-6588

VL - 524

JO - Journal of physics: Conference series

JF - Journal of physics: Conference series

M1 - 012104

T2 - The Science of Making Torque from Wind, TORQUE 2014

Y2 - 18 June 2014 through 20 June 2014

ER -

A wavenumber-frequency spectral model for atmospheric boundary layers

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