Redistribution of Kinetic Energy in Turbulent Flows

2014 | journal article. A publication with affiliation to the University of Göttingen.

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​Pumir, Alain, H. Xu, Guido Boffetta, Gregory Falkovich, and Eberhard Bodenschatz. "Redistribution of Kinetic Energy in Turbulent Flows​." ​Physical Review X ​4, no. 4 (2014): ​041006​. ​https://doi.org/10.1103/PhysRevX.4.041006.

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Authors
Pumir, Alain; Xu, H.; Boffetta, Guido; Falkovich, Gregory; Bodenschatz, Eberhard 
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.
Issue Date
2014
Status
published
Publisher
Amer Physical Soc
Journal
Physical Review X 
Project
info:eu-repo/grantAgreement/EC/FP7/312778/EU//EUHIT
Organization
Fakultät für Physik 
ISSN
2160-3308

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