Inverse energy cascade and emergence of large coherent vortices in turbulence driven by Faraday waves

N. Francois, H. Xia, H. Punzmann, M. Shats

Published 2013-02-13, updated 2013-03-26Version 2

We report the generation of large coherent vortices via inverse energy cascade in Faraday wave driven turbulence. The motion of floaters in the Faraday waves is three dimensional but its horizontal velocity fluctuations show unexpected similarity with two-dimensional turbulence. The inverse cascade is detected by measuring frequency spectra of the Lagrangian velocity, and it is confirmed by computing the third moment of the horizontal velocity fluctuations. This is observed in deep water in a broad range of wavelengths. The results broaden the scope of recent findings on Faraday waves in thin layers [A. von Kameke, \textit{et al.}, \textit{Phys. Rev. Lett.} \textbf{107}, 074502 (2011)].