Scale invariance of intermittency in LES turbulence
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909676573032448 |
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| author | Magacho, B. Thalabard, S. Buzzicotti, M. Bonaccorso, F. Biferale, L Mailybaev, A. A. |
| author_facet | Magacho, B. Thalabard, S. Buzzicotti, M. Bonaccorso, F. Biferale, L Mailybaev, A. A. |
| contents | Turbulent flows exhibit large intermittent fluctuations from inertial to dissipative scales, characterized by multifractal statistics and breaking the statistical self-similarity. It has recently been proposed that the Navier-Stokes turbulence restores a hidden form of scale invariance in the inertial interval when formulated for a dynamically (nonlinearly) rescaled quasi-Lagrangian velocity field. Here we show that such hidden self-similarity extends to the Large-Eddy Simulation (LES) approach in computational fluid dynamics (CFD). In particular, we show that classical subgrid-scale models, such as implicit or explicit Smagorinsky closures, respect the hidden scale invariance at all scales -- both resolved and subgrid. In the inertial range, they reproduce the hidden scale invariance of Navier-Stokes statistics. These properties are verified very accurately by numerical simulations and, beyond CFD, turn LES into a valuable tool for fundamental turbulence research. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15874 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scale invariance of intermittency in LES turbulence Magacho, B. Thalabard, S. Buzzicotti, M. Bonaccorso, F. Biferale, L Mailybaev, A. A. Fluid Dynamics Turbulent flows exhibit large intermittent fluctuations from inertial to dissipative scales, characterized by multifractal statistics and breaking the statistical self-similarity. It has recently been proposed that the Navier-Stokes turbulence restores a hidden form of scale invariance in the inertial interval when formulated for a dynamically (nonlinearly) rescaled quasi-Lagrangian velocity field. Here we show that such hidden self-similarity extends to the Large-Eddy Simulation (LES) approach in computational fluid dynamics (CFD). In particular, we show that classical subgrid-scale models, such as implicit or explicit Smagorinsky closures, respect the hidden scale invariance at all scales -- both resolved and subgrid. In the inertial range, they reproduce the hidden scale invariance of Navier-Stokes statistics. These properties are verified very accurately by numerical simulations and, beyond CFD, turn LES into a valuable tool for fundamental turbulence research. |
| title | Scale invariance of intermittency in LES turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2504.15874 |