@article{59fba0686c6e4111b294339cdfc07ae2,
title = "Redistribution of kinetic energy in turbulent flows",
abstract = "In statistically homogeneous turbulent flows, pressure forces provide the main mechanism to redistribute kinetic energy among fluid elements, without net contribution to the overall energy budget. This holds true in both two-dimensional (2D) and three-dimensional (3D) flows, which show fundamentally different physics. As we demonstrate here, pressure forces act on fluid elements very differently in these two cases. We find in numerical simulations that in 3D pressure forces strongly accelerate the fastest fluid elements, and that in 2D this effect is absent. In 3D turbulence, our findings put forward a mechanism for a possibly singular buildup of energy, and thus may shed new light on the smoothness problem of the solution of the Navier-Stokes equation in 3D.",
author = "Alain Pumir and Haitao Xu and Guido Boffetta and Gregory Falkovich and Eberhard Bodenschatz",
note = "Max Planck Society; grant TEC 2 from the {"}Agence Nationale pour la Recherche{"} [ANR-12-BS09-0011-02]; Alexander von Humboldt foundation; Minerva Foundation; German Ministry for Education and Research; European Commission Framework Program 7 [312778]We acknowledge informative discussions with Michael Wilczek. Financial support from the Max Planck Society is gratefully appreciated. A. P. has been supported by the grant TEC 2 from the {"}Agence Nationale pour la Recherche{"} (Grant No. ANR-12-BS09-0011-02), and by fellowship from the Alexander von Humboldt foundation. The work of G. F. has been supported by the grant of the Minerva Foundation, with funding from the German Ministry for Education and Research. This work is supported by EuHIT-European High-performance Infrastructure in Turbulence, which is funded by the European Commission Framework Program 7 (Grant No. 312778). Numerical simulations were performed at the PSMN computing center at the Ecole Normale Superieure de Lyon and on the {"}Turbofarm{"} cluster at the University of Torino.",
year = "2014",
doi = "https://doi.org/10.1103/PhysRevX.4.041006",
language = "الإنجليزيّة",
volume = "4",
journal = "Physical Review X",
issn = "2160-3308",
publisher = "American Physical Society",
number = "4",
}