Physics
Scientific paper
Jan 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jats...38...87s&link_type=abstract
Journal of the Atmospheric Sciences, vol. 38, Jan. 1981, p. 87-96.
Physics
11
Atmospheric Circulation, Atmospheric Models, Baroclinic Instability, Planetary Waves, Standing Waves, Vortices, Barotropism, Energy Dissipation, Perturbation Theory, Vorticity
Scientific paper
A linear stability analysis was made for forced stationary planetary waves to supplement the theoretical interpretation on the large dissipative role of the transient motions, using simple quasi-geostrophic models on the midlatitude beta-plane. For the simplest model in which the nonlinear effect is truncated by a triad interaction, the stability criteria are given by a pair of inequalities, the first of which specifies the critical amplitude of the basic state wave and the second the difference between the longitudinal and latitudinal wavenumber which are required for the perturbation to be unstable. The analysis for the two-layer baroclinic atmosphere suggests that the perturbations superimposed on the basic state with wavenumber three are likely to be unstable.
Sasamori Takashi
Youngblut C. E.
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