Elucidating inhomogeneous scale-dependent flow statistics within regular obstacle arrays

Scale-dependent turbulence statistics are calculated for large-eddy simulations of flow over square and staggered obstacle arrays. Using two-dimensional wavelet spectra, kinetic energy and transfer spectra are obtained inside the canopy layer. Mean energy spectra show a –5/3 range that extends acros...

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Bibliographic Details
Published in:Physics of fluids (1994) 2021-10, Vol.33 (10)
Main Authors: Liu, W., Lau, G. E., Ngan, K.
Format: Article
Language:English
Subjects:
Arrays
Barriers
Energy spectra
Energy transfer
Fluid dynamics
Fluid flow
Horizontal orientation
Kinetic energy
Large eddy simulation
Outliers (statistics)
Physics
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Summary:Scale-dependent turbulence statistics are calculated for large-eddy simulations of flow over square and staggered obstacle arrays. Using two-dimensional wavelet spectra, kinetic energy and transfer spectra are obtained inside the canopy layer. Mean energy spectra show a –5/3 range that extends across the obstacle scale with a large-scale peak that depends on the array type. Mean transfer spectra indicate energy extraction at large scales for the square array, but extraction or injection for the staggered array. Averaging over fluid and obstacles does not introduce significant artifacts. Mean lengthscales show minimal dependence on the array type or horizontal position; however, spatial variability is large for both arrays, especially for the energy transfer. Probability distributions for different repeating units formed by the arrays reveal that outliers exert a disproportionate influence on the cumulative energy transfer.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0062682