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- W1795518195 abstract "An extensive qualitative and quantitative study of Rossby wave, drift wave andzonal flow turbulence in the Charney-Hasegawa-Mima model is presented. This includesdetails of two generation mechanisms of the zonal flows, evidence of the nonlocal natureof this turbulence and of the energy exchange between the small and large scales.The modulational instability study shows that for strong primary waves the mostunstable modes are perpendicular to the primary wave, which corresponds to the generationof a zonal flow if the primary wave is purely meridional. For weak waves, themaximum growth occurs for off-zonal modulations that are close to being in three-waveresonance with the primary wave. Nonlinear jet pinching is observed for all nonlinearitylevels but the subsequent dynamics differ between strong and weak primary waves. Thejets of the former further roll up into Karman-like vortex streets and saturate, while forthe latter, the growth of the unstable mode reverses and the system oscillates betweena dominant jet and a dominant primary wave. A critical level of nonlinearity is definedwhich separates the two regimes. Some of these characteristics are captured by truncatedmodels.Numerical proof of the extra invariant in Rossby and drift wave turbulence ispresented. While the theoretical derivations of this invariant stem from the wave kineticequation which assumes weak wave amplitudes, it is shown to be relatively-well conservedfor higher nonlinearities also. Together with the energy and enstrophy, these threeinvariants cascade into anisotropic sectors in the k-space as predicted by the Fjortoftargument. The cascades are characterised by the zonostrophy pushing the energy to thezonal scales.A small scale instability forcing applied to the model has demonstrated the wellknowndrift wave - zonal flow feedback loop. The drift wave turbulence is generatedfrom this primary instability. The zonal flows are then excited by either one of thegeneration mechanisms, extracting energy from the drift waves as they grow. Eventuallythe turbulence is completely suppressed and the zonal flows saturate. The turbulencespectrum is shown to diffuse in a manner which has been mathematically predicted.The insights gained from this simple model could provide a basis for equivalentstudies in more sophisticated plasma and geophysical fluid dynamics models in an effortto fully understand the zonal flow generation, the turbulent transport suppression andthe zonal flow saturation processes in both the plasma and geophysical contexts." @default.
- W1795518195 created "2016-06-24" @default.
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- W1795518195 date "2011-06-01" @default.
- W1795518195 modified "2023-10-16" @default.
- W1795518195 title "Rossby wave, drift wave and zonal flow turbulence" @default.
- W1795518195 hasPublicationYear "2011" @default.
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