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Spatio-temporal spectra in the logarithmic layer of wall turbulence : Large-eddy simulations and simple models

Title data

Wilczek, Michael ; Stevens, Richard J. A. M. ; Meneveau, Charles:
Spatio-temporal spectra in the logarithmic layer of wall turbulence : Large-eddy simulations and simple models.
In: Journal of Fluid Mechanics. Vol. 769 (2015) . - R1.
ISSN 0022-1120
DOI: https://doi.org/10.1017/jfm.2015.116

Abstract in another language

Motivated by the need to characterize the spatio-temporal structure of turbulence in wall-bounded flows, we study wavenumber–frequency spectra of the streamwise velocity component based on large-eddy simulation (LES) data. The LES data are used to measure spectra as a function of the two wall-parallel wavenumbers and the frequency in the equilibrium (logarithmic) layer. We then reformulate one of the simplest models that is able to reproduce the observations: the random sweeping model with a Gaussian large-scale fluctuating velocity and with additional mean flow. Comparison with LES data shows that the model captures the observed temporal decorrelation, which is related to the Doppler broadening of frequencies. We furthermore introduce a parameterization for the entire wavenumber–frequency spectrum E11 (k1, k2, w, z), where k1, k2 are the streamwise and spanwise wavenumbers, w is the frequency and z is the distance to the wall. The results are found to be in good agreement with LES data.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I > Chair Theoretical Physics I - Univ.-Prof. Dr. Michael Wilczek
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: No
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 23 Feb 2022 14:26
Last Modified: 05 Jul 2022 09:36
URI: https://eref.uni-bayreuth.de/id/eprint/67596