Abstract: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 investigate the Fourier time series of two-dimensional Navier-Stokes equations with friction and damping, 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 scalar under advection-diffusion dynamics by means of direct numerical simulation of the stochastic damped Navier-Stokes equation and compare it with analytical predictions of the effective diffusion produced by the stochastic model.
From: Andrea Zanoni [view email]
[v1]
Wed, 13 May 2026 15:30:19 UTC (10,116 KB)
[v2]
Mon, 17 Aug 2026 10:13:55 UTC (11,030 KB)
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