Journal
NEW JOURNAL OF PHYSICS
Volume 18, Issue -, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1367-2630/18/11/113047
Keywords
isotropic and homogeneous turbulence; multifractal theory; Lagrangian dynamics; intermittency
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Funding
- COST Action [MP1305]
- COST (European Cooperation in Science and Technology)
- European Research Council under European Union's Seventh Framework Programme, ERC [339032]
- Indo-French Center for Applied Mathematics (IFCAM)
- AIRBUS Group Corporate Foundation Chair in Mathematics of Complex Systems
- DST (India) [ECR/2015/000361]
- Knut and Alice Wallenberg Foundation under the project Bottlenecks for particle growth in turbulent aerosols [KAW2014.0048]
- PRACE [Pra092256]
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We study small-scale and high-frequency turbulent fluctuations in three-dimensional flows under Fourier-mode reduction. The Navier-Stokes equations are evolved on a restricted set of modes, obtained as a projection on a fractal or homogeneous Fourier set. We find a strong sensitivity (reduction) of the high-frequency variability of the Lagrangian velocity fluctuations on the degree of mode decimation, similarly to what is already reported for Eulerian statistics. This is quantified by a tendency towards a quasi-Gaussian statistics, i.e., to a reduction of intermittency, at all scales and frequencies. This can be attributed to a strong depletion of vortex filaments and of the vortex stretching mechanism. Nevertheless, we found that Eulerian and Lagrangian ensembles are still connected by a dimensional bridge-relation which is independent of the degree of Fourier-mode decimation.
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