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arXiv · 2210.14516

Inertial range scaling of inhomogeneous turbulence

Ryo Araki·Wouter J. T. Bos
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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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Ryo Araki, Wouter J. T. Bos. 2022-10-26. Inertial range scaling of inhomogeneous turbulence. https://doi.org/10.1017/jfm.2023.940

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