2013
DOI: 10.1063/1.4795299
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Stability analysis of Reynolds stress response functional candidates

Abstract: Complete information on the behavior of zonal flows in turbulence systems is coded in the turbulent stress response to the respective flow pattern. We show that turbulence stress response functionals containing only the linear first order wavenumber dependence on the flow pattern result in unstable structures up to the system size. A minimal augmentation to reproduce the flow patterns observed in turbulence simulations is discussed. [http://dx.

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Cited by 2 publications
(2 citation statements)
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“…Many mechanisms, e . g ., higher order kinetics of flow-fluctuation interaction 13 14 , possible role of eddies in phase space 15 , interaction with Generalized Kelvin-Helmholtz (GKH) 16 etc., have been discussed theoretically. In addition, in planetary and geophysical fluids, such as the Jovian atmosphere, eddies of various scales are also organized in zonal flow-Rossby wave dynamics 17 .…”
mentioning
confidence: 99%
“…Many mechanisms, e . g ., higher order kinetics of flow-fluctuation interaction 13 14 , possible role of eddies in phase space 15 , interaction with Generalized Kelvin-Helmholtz (GKH) 16 etc., have been discussed theoretically. In addition, in planetary and geophysical fluids, such as the Jovian atmosphere, eddies of various scales are also organized in zonal flow-Rossby wave dynamics 17 .…”
mentioning
confidence: 99%
“…We here take a more simplified, zero-dimensional model, in order to pursue the analytic insight for the transition condition. A characteristic scale length of the radial inhomogeneity is chosen here according to the consideration that the turbulence drive for the flow is the strongest for the particular scale as is given in [30,31]. Following this idea, one can choose the estimate X ∼ −l −2 X, where the scale length l is assumed as prescribed.…”
Section: Zero-dimensional Modelmentioning
confidence: 99%