Stochastic identities for random isotropic fields
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910002628788224 |
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| author | Il'yn, A. S. Kopyev, A. V. Sirota, V. A. Zybin, K. P. |
| author_facet | Il'yn, A. S. Kopyev, A. V. Sirota, V. A. Zybin, K. P. |
| contents | This letter presents new nontrivial stochastic identities for random isotropic second rank tensor fields. They can be considered as markers of statistical isotropy in turbulent flows of any nature. The case of axial symmetry is also considered. We confirm the validity of the identities using different direct numerical simulations of turbulent flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04131 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic identities for random isotropic fields Il'yn, A. S. Kopyev, A. V. Sirota, V. A. Zybin, K. P. Fluid Dynamics Mathematical Physics This letter presents new nontrivial stochastic identities for random isotropic second rank tensor fields. They can be considered as markers of statistical isotropy in turbulent flows of any nature. The case of axial symmetry is also considered. We confirm the validity of the identities using different direct numerical simulations of turbulent flows. |
| title | Stochastic identities for random isotropic fields |
| topic | Fluid Dynamics Mathematical Physics |
| url | https://arxiv.org/abs/2409.04131 |