Lagrangian Statistics for Navier-Stokes Turbulence under Fourier-mode reduction: Fractal and Homogeneous Decimations

Autor: Buzzicotti, Michele, Bhatnagar, Akshay, Biferale, Luca, Lanotte, Alessandra S., Ray, Samriddhi Sankar
Rok vydání: 2017
Předmět:
Zdroj: New J. Phys. 18 113047 (2016)
Druh dokumentu: Working Paper
DOI: 10.1088/1367-2630/18/11/113047
Popis: 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.
Databáze: arXiv