Height-dependence of spatio-temporal spectra of wall-bounded turbulence – LES 
results and model predictions

Wilczek, Michael; Stevens, Richard J. A. M.; Meneveau, Charles

doi:10.1080/14685248.2015.1047497

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Height-dependence of spatio-temporal spectra of wall-bounded turbulence – LES results and model predictions

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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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http://www.tandfonline.com/doi/abs/10.1080/14685248.2015.1047497?journalCode=tjot20
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Citation

Wilczek, M., Stevens, R. J. A. M., & Meneveau, C. (2015). Height-dependence of spatio-temporal spectra of wall-bounded turbulence – LES results and model predictions. Journal of Turbulence, 16(10), 937-949. doi:10.1080/14685248.2015.1047497.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-38B7-F

Abstract

Wavenumber–frequency spectra of the streamwise velocity component obtained from large-eddy simulations (LES) are presented. Following recent work we show that the main features, a Doppler shift and a Doppler broadening of frequencies, are captured by an advection model based on the Tennekes–Kraichnan random-sweeping hypothesis with additional mean flow. In this paper, we focus on the height-dependence of the spectra within the logarithmic layer of the flow. We furthermore benchmark an analytical model spectrum that takes the predictions of the random-sweeping model as a starting point and find good agreement with the LES data. We also quantify the influence of the LES grid resolution on the wavenumber–frequency spectra.