Turbulent superstructures in Rayleigh-Bénard convection

Nature Communications
Ambrish PandeyJörg Schumacher

Abstract

Turbulent Rayleigh-Bénard convection displays a large-scale order in the form of rolls and cells on lengths larger than the layer height once the fluctuations of temperature and velocity are removed. These turbulent superstructures are reminiscent of the patterns close to the onset of convection. Here we report numerical simulations of turbulent convection in fluids at different Prandtl number ranging from 0.005 to 70 and for Rayleigh numbers up to 107. We identify characteristic scales and times that separate the fast, small-scale turbulent fluctuations from the gradually changing large-scale superstructures. The characteristic scales of the large-scale patterns, which change with Prandtl and Rayleigh number, are also correlated with the boundary layer dynamics, and in particular the clustering of thermal plumes at the top and bottom plates. Our analysis suggests a scale separation and thus the existence of a simplified description of the turbulent superstructures in geo- and astrophysical settings.

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Citations

Nov 23, 2018·Proceedings of the National Academy of Sciences of the United States of America·Tobias VogtJonathan M Aurnou
Apr 17, 2019·Proceedings of the National Academy of Sciences of the United States of America·Enrico FondaKatepalli R Sreenivasan
Oct 2, 2019·Physical Review Letters·Gregor IbbekenMichael Wilczek
Dec 25, 2019·Physical Review. E·Christiane SchneideJörg Schumacher
Jun 18, 2021·Physical Review. E·Sara LenziAntonello Provenzale
Jul 31, 2021·Proceedings of the National Academy of Sciences of the United States of America·Geoffrey M VasilNicholas A Featherstone
Aug 26, 2021·Royal Society Open Science·Yifei GuanIgor Novosselov

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