Interpretation of edge waves observations on Shikotan Island

Polukhina, O. E.; Kurkin, A. A.; Polukhin, N. V.

doi:10.1134/s0001437006050018

Cited by 1 publication

(1 citation statement)

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“…This assumption is tested by computing the intensity of the nonlinear self-interaction of Rossby waves in the context of a barotropic framework. This kind of problem has been widely explored both for the atmosphere and the ocean: see, for example, the recent papers [22] and [23] and literature therein. Our objective is to derive from theory a quantitative formulation of the nonlinear self-interaction of planetary scale atmospheric fluctuations that is suitable for observational analysis.…”

Section: Self-interaction Of Atmospheric Planetary Waves: a Weakly No...mentioning

confidence: 99%

The role of nonlinear self-interaction in the dynamics of planetary-scale atmospheric fluctuations

Saffioti

Malguzzi

Speranza

2016

J. Phys. A: Math. Theor.

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A central role in the general circulation of the atmosphere is played by planetary-scale inertial fluctuations with zonal wavenumber in the range k=1-4. Geopotential variance in this range is markedly non-gaussian and a great fraction of it is non-propagating, in contrast with the normal distribution of amplitudes and the basically propagating character of fluctuations in the baroclinic range (3<k<15). While a wave dispersion relationship can be identified in the baroclinic range, no clear relationship between time and space scales emerges in the ultra-long regime (k<5, period >10 days). We investigate the hypothesis that nonlinear self-interaction of planetary waves influences the mobility (and, therefore, the dispersion) of ultra-long planetary fluctuations. By means of a perturbation expansion of the barotropic vorticity equation we derive a minimal analytic description of the impact of self-nonlinearity on mobility and we show that this is responsible for a correction term to phase speed, with the prevalent effect of slowing down the propagation of waves. The intensity of nonlinear self-interaction is shown to increase with the complexity of the flow, depending on both its zonal and meridional modulations. Reanalysis data of geopotential height and zonal wind are analysed in order to test the effect of self-nonlinearity on observed planetary flows.

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Section: Self-interaction Of Atmospheric Planetary Waves: a Weakly No...mentioning

confidence: 99%