Reduction of Triadic Interactions Suppresses Intermittency and Anomalous Dissipation in Turbulence
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915875986079744 |
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| author | Kankaria, Anikat Mukherjee, Ritwik Murugan, Sugan Durai Rosti, Marco Edoardo Ray, Samriddhi Sankar |
| author_facet | Kankaria, Anikat Mukherjee, Ritwik Murugan, Sugan Durai Rosti, Marco Edoardo Ray, Samriddhi Sankar |
| contents | We investigate how the defining statistical features of three-dimensional turbulence respond to systematic reductions of the Fourier-space triadic interaction network. Using direct numerical simulations of both fractally and homogeneously decimated Navier-Stokes dynamics, we show that progressive thinning of the set of active modes leads to a systematic suppression of intermittency and, most strikingly, to the vanishing of the mean dissipation rate in the large-Reynolds-number limit. Structure-function exponents collapse onto their dimensional values, the multifractal singularity spectrum contracts, and the analyticity width extracted from the exponential spectral tail increases monotonically with decimation-each indicating a substantial regularization of the velocity field. Together, these results provide direct evidence that anomalous dissipation in incompressible turbulence is not a generic property of the Navier-Stokes equations, but instead requires the full combinatorial richness of their triadic nonlinear interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19180 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reduction of Triadic Interactions Suppresses Intermittency and Anomalous Dissipation in Turbulence Kankaria, Anikat Mukherjee, Ritwik Murugan, Sugan Durai Rosti, Marco Edoardo Ray, Samriddhi Sankar Fluid Dynamics Statistical Mechanics Chaotic Dynamics We investigate how the defining statistical features of three-dimensional turbulence respond to systematic reductions of the Fourier-space triadic interaction network. Using direct numerical simulations of both fractally and homogeneously decimated Navier-Stokes dynamics, we show that progressive thinning of the set of active modes leads to a systematic suppression of intermittency and, most strikingly, to the vanishing of the mean dissipation rate in the large-Reynolds-number limit. Structure-function exponents collapse onto their dimensional values, the multifractal singularity spectrum contracts, and the analyticity width extracted from the exponential spectral tail increases monotonically with decimation-each indicating a substantial regularization of the velocity field. Together, these results provide direct evidence that anomalous dissipation in incompressible turbulence is not a generic property of the Navier-Stokes equations, but instead requires the full combinatorial richness of their triadic nonlinear interactions. |
| title | Reduction of Triadic Interactions Suppresses Intermittency and Anomalous Dissipation in Turbulence |
| topic | Fluid Dynamics Statistical Mechanics Chaotic Dynamics |
| url | https://arxiv.org/abs/2603.19180 |