From deterministic to distributed chaos/turbulence in Rayleigh-B\'enard convection: generalized Birkhoff-Saffman invariant
Abstract
The transition from deterministic to distributed chaos/turbulence at the increase of Rayleigh number (from 104 to 108) in Rayleigh-B\'enard convection, controlled by generalized Birkhoff-Saffman invariant, has been studied using the results of direct numerical simulations. The applications of this approach to rotating Rayleigh-B\'enard convection, to stably stratified flows, and to observations in the atmosphere and in the solar photosphere have been briefly discussed.
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