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Inertial range scaling of inhomogeneous turbulence
Published online by Cambridge University Press: 27 December 2023
Abstract
We investigate how inhomogeneity influences the $k^{-5/3}$ inertial range scaling of turbulent kinetic energy spectra (with
$k$ the wavenumber). For weak statistical inhomogeneity, the energy spectrum can be described as an equilibrium spectrum plus a perturbation. Theoretical arguments suggest that this latter contribution scales as
$k^{-7/3}$. This prediction is assessed using direct numerical simulations of three-dimensional Kolmogorov flow.
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- © The Author(s), 2023. Published by Cambridge University Press
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