Two-Dimensional Turbulence

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Cascades and transitions in turbulent flows (2018, neutral): “predicted in a series of historical works by Kraichnan, Leith and Batchelor [136–138] 17 and has been reproduced in numerical simulations [139–142] and experiments [35, 143]. A review can be found in [144, 145]. In two dimensions, the NSE (1) can be written in terms of the out-of-plane vorticity w =”
Incompressible Rayleigh–Taylor Turbulence (2017, background): “Intermittency was not observed for the velocity structure functions that exhibit, within error bars, dimensional scaling, as in the case of the inverse cascade in 2D Navier-Stokes turbulence (Boffetta & Ecke 2012).”
Large-scale vortices in rapidly rotating Rayleigh–Bénard convection (2014, background): “In particular, the large-scale flow may be the result of an inverse cascade of energy, similar to 2D turbulence (e.g. Boffetta & Ecke 2012), where the energy is transferred to the smallest wavenumber across the whole spectrum, or of a direct transfer from the combination of two small-scale modes of…”