Skip to Main content Skip to Navigation
Journal articles

Direct and inverse energy cascades in a forced rotating turbulence experiment

Antoine Campagne 1 Basile Gallet 2, 1 Frédéric Moisy 1 Pierre-Philippe Cortet 1 
2 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : We present experimental evidence for a double cascade of kinetic energy in a statistically stationary rotating turbulence experiment. Turbulence is generated by a set of vertical flaps, which continuously injects velocity fluctuations towards the center of a rotating water tank. The energy transfers are evaluated from two-point third-order three-component velocity structure functions, which we measure using stereoscopic particle image velocimetry in the rotating frame. Without global rotation, the energy is transferred from large to small scales, as in classical three-dimensional turbulence. For nonzero rotation rates, the horizontal kinetic energy presents a double cascade: a direct cascade at small horizontal scales and an inverse cascade at large horizontal scales. By contrast, the vertical kinetic energy is always transferred from large to small horizontal scales, a behavior reminiscent of the dynamics of a passive scalar in two-dimensional turbulence. At the largest rotation rate, the flow is nearly two-dimensional, and a pure inverse energy cascade is found for the horizontal energy. To describe the scale-by-scale energy budget, we consider a generalization of the Kármán-Howarth-Monin equation to inhomogeneous turbulent flows, in which the energy input is explicitly described as the advection of turbulent energy from the flaps through the surface of the control volume where the measurements are performed.
Complete list of metadata

Cited literature [49 references]  Display  Hide  Download
Contributor : Dominique GIRARD Connect in order to contact the contributor
Submitted on : Friday, March 30, 2018 - 12:57:28 PM
Last modification on : Sunday, June 26, 2022 - 12:09:14 PM


Files produced by the author(s)




Antoine Campagne, Basile Gallet, Frédéric Moisy, Pierre-Philippe Cortet. Direct and inverse energy cascades in a forced rotating turbulence experiment. Physics of Fluids, American Institute of Physics, 2014, 26, pp.125112. ⟨10.1063/1.4904957⟩. ⟨cea-01409191⟩



Record views


Files downloads