Universal profile of the vortex condensate in two-dimensional turbulence

Jason Laurie, Guido Boffetta, Gregory Falkovich, Igor Kolokolov, Vladimir Lebedev

Research output: Contribution to journalArticle

Abstract

An inverse turbulent cascade in a restricted two-dimensional periodic domain creates a condensate—a pair of coherent system-size vortices. We perform extensive numerical simulations of this system and carry out theoretical analysis based on momentum and energy exchanges between the turbulence and the vortices. We show that the vortices have a universal internal structure independent of the type of small-scale dissipation, small-scale forcing, and boundary conditions. The theory predicts not only the vortex inner region profile, but also the amplitude, which both perfectly agree with the numerical data.
Original languageEnglish
Article number254503
Number of pages5
JournalPhysical Review Letters
Volume113
Issue number25
DOIs
Publication statusPublished - 17 Dec 2014

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condensates
turbulence
vortices
profiles
cascades
dissipation
energy transfer
boundary conditions
momentum
simulation

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Laurie, Jason ; Boffetta, Guido ; Falkovich, Gregory ; Kolokolov, Igor ; Lebedev, Vladimir. / Universal profile of the vortex condensate in two-dimensional turbulence. In: Physical Review Letters. 2014 ; Vol. 113, No. 25.
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Universal profile of the vortex condensate in two-dimensional turbulence. / Laurie, Jason; Boffetta, Guido; Falkovich, Gregory; Kolokolov, Igor; Lebedev, Vladimir.

In: Physical Review Letters, Vol. 113, No. 25, 254503, 17.12.2014.

Research output: Contribution to journalArticle

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