Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916495609561088 |
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| author | Müller, Nicolás Pablo Krstulovic, Giorgio |
| author_facet | Müller, Nicolás Pablo Krstulovic, Giorgio |
| contents | We study the statistics of longitudinal and transverse structure functions, as well as velocity circulation in the inverse energy cascade of two-dimensional turbulence. By means of direct numerical simulations of the incompressible Navier-Stokes equations, we show that transverse structure functions exhibit an anomalous scaling, in contrast to the self-similar behavior of longitudinal ones. We derive an analytical relation that shows that the scaling exponents of transverse structure functions and velocity circulation are related in two-dimensional turbulence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00631 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence Müller, Nicolás Pablo Krstulovic, Giorgio Fluid Dynamics We study the statistics of longitudinal and transverse structure functions, as well as velocity circulation in the inverse energy cascade of two-dimensional turbulence. By means of direct numerical simulations of the incompressible Navier-Stokes equations, we show that transverse structure functions exhibit an anomalous scaling, in contrast to the self-similar behavior of longitudinal ones. We derive an analytical relation that shows that the scaling exponents of transverse structure functions and velocity circulation are related in two-dimensional turbulence. |
| title | Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2408.00631 |