Geometric Intermittency in Turbulence
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917069772029952 |
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| author | Mukherjee, Ritwik Mukherjee, Siddhartha Kolokolov, I. V. Lebedev, V. V. Matsumoto, Takeshi Ray, Samriddhi Sankar |
| author_facet | Mukherjee, Ritwik Mukherjee, Siddhartha Kolokolov, I. V. Lebedev, V. V. Matsumoto, Takeshi Ray, Samriddhi Sankar |
| contents | Equal-time scaling exponents in fully developed turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D) turbulence and anomalous scaling in three dimensions. We demonstrate that multiscaling is not confined to longitudinal, scalar velocity increments, but also emerges in increments associated with the magnitude and orientation of the velocity vector. This decomposition uncovers a multiscaling in the 2D inverse cascade, which remains obscured when using conventional structure functions. Our results highlight a decoupling between velocity amplitude and flow geometry, offering new insight into the statistical structure of turbulent cascades as well as showing how different classes of multiscaling emerge. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_06439 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Intermittency in Turbulence Mukherjee, Ritwik Mukherjee, Siddhartha Kolokolov, I. V. Lebedev, V. V. Matsumoto, Takeshi Ray, Samriddhi Sankar Fluid Dynamics Statistical Mechanics Chaotic Dynamics Equal-time scaling exponents in fully developed turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D) turbulence and anomalous scaling in three dimensions. We demonstrate that multiscaling is not confined to longitudinal, scalar velocity increments, but also emerges in increments associated with the magnitude and orientation of the velocity vector. This decomposition uncovers a multiscaling in the 2D inverse cascade, which remains obscured when using conventional structure functions. Our results highlight a decoupling between velocity amplitude and flow geometry, offering new insight into the statistical structure of turbulent cascades as well as showing how different classes of multiscaling emerge. |
| title | Geometric Intermittency in Turbulence |
| topic | Fluid Dynamics Statistical Mechanics Chaotic Dynamics |
| url | https://arxiv.org/abs/2511.06439 |