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Journal Article

Redistribution of Kinetic Energy in Turbulent Flows

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Pumir,  Alain       
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Xu,  Haitao
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Bodenschatz,  Eberhard       
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Pumir, A., Xu, H., Boffetta, G., Falkovich, G., & Bodenschatz, E. (2014). Redistribution of Kinetic Energy in Turbulent Flows. Physical Review X, 4, 041006-1-041006-11. doi:10.1103/PhysRevX.4.041006.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0EF9-C
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.