Elucidating inhomogeneous scale-dependent flow statistics within regular obstacle arrays

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Original languageEnglish
Article number105101
Journal / PublicationPhysics of Fluids
Volume33
Issue number10
Online published1 Oct 2021
Publication statusPublished - Oct 2021

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Abstract

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.

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