Pair correlation function of vorticity in a coherent vortex
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910349591052288 |
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| author | Kolokolov, I. V. Lebedev, V. V. Tumakova, M. M. |
| author_facet | Kolokolov, I. V. Lebedev, V. V. Tumakova, M. M. |
| contents | We study the correlations of vorticity fluctuations inside a coherent vortex resulting from the inverse energy cascade in two-dimensional turbulence. The presence of a coherent flow, which is a differential rotation, suppresses small-scale fluctuations of the flow, which are created by an external force, and lead to the fact that these fluctuations can be considered as non-interacting and, therefore, examined in a linear approximation. We calculate the pair correlation function of vorticity and demonstrate that it has a power-law behavior both in space and in time. The obtained results allow us to start a systematic study of the effects associated with the nonlinear interaction of fluctuations, which play an essential role on the periphery of a coherent vortex. Our results are also applicable to the statistics of a passive scalar in a strong shear flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pair correlation function of vorticity in a coherent vortex Kolokolov, I. V. Lebedev, V. V. Tumakova, M. M. Fluid Dynamics Chaotic Dynamics We study the correlations of vorticity fluctuations inside a coherent vortex resulting from the inverse energy cascade in two-dimensional turbulence. The presence of a coherent flow, which is a differential rotation, suppresses small-scale fluctuations of the flow, which are created by an external force, and lead to the fact that these fluctuations can be considered as non-interacting and, therefore, examined in a linear approximation. We calculate the pair correlation function of vorticity and demonstrate that it has a power-law behavior both in space and in time. The obtained results allow us to start a systematic study of the effects associated with the nonlinear interaction of fluctuations, which play an essential role on the periphery of a coherent vortex. Our results are also applicable to the statistics of a passive scalar in a strong shear flow. |
| title | Pair correlation function of vorticity in a coherent vortex |
| topic | Fluid Dynamics Chaotic Dynamics |
| url | https://arxiv.org/abs/2403.00501 |