Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866913123673309184 |
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| author | Cifani, Paolo Flandoli, Franco Zanoni, Andrea |
| author_facet | Cifani, Paolo Flandoli, Franco Zanoni, Andrea |
| contents | Modeling turbulent flows by a random Fourier decomposition is a classical procedure in order to use simplified models of turbulence in heat transport and other applications. We carefully investigate the Fourier time series of two-dimensional turbulent flows forced at intermediate scales and identify significant statistical structures. In particular, we find the existence of a typical time correlation length, and propose a stochastic model for the Fourier components. Finally, we compute the transport of a passive tracer under purely convective dynamics by means of direct numerical simulation of the turbulent flow and compare it with the effective diffusion produced by the stochastic model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_13671 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise Cifani, Paolo Flandoli, Franco Zanoni, Andrea Mathematical Physics Numerical Analysis Probability Fluid Dynamics Modeling turbulent flows by a random Fourier decomposition is a classical procedure in order to use simplified models of turbulence in heat transport and other applications. We carefully investigate the Fourier time series of two-dimensional turbulent flows forced at intermediate scales and identify significant statistical structures. In particular, we find the existence of a typical time correlation length, and propose a stochastic model for the Fourier components. Finally, we compute the transport of a passive tracer under purely convective dynamics by means of direct numerical simulation of the turbulent flow and compare it with the effective diffusion produced by the stochastic model. |
| title | Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise |
| topic | Mathematical Physics Numerical Analysis Probability Fluid Dynamics |
| url | https://arxiv.org/abs/2605.13671 |