Inertial range scaling of inhomogeneous turbulence
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866916499832176640 |
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| author | Araki, Ryo Bos, Wouter J. T. |
| author_facet | Araki, Ryo Bos, Wouter J. T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14516 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Inertial range scaling of inhomogeneous turbulence Araki, Ryo Bos, Wouter J. T. Fluid Dynamics 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. |
| title | Inertial range scaling of inhomogeneous turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2210.14516 |