Computer Science – Numerical Analysis
Scientific paper
Nov 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981zamp...32..721e&link_type=abstract
Zeitschrift für angewandte Mathematik und Physik, vol. 32, Nov. 25, 1981, p. 721-733.
Computer Science
Numerical Analysis
1
Gravity Waves, Magnetohydrodynamic Waves, Meridional Flow, Planetary Waves, Shear Flow, Wave Propagation, Wentzel-Kramer-Brillouin Method, Zonal Flow (Meteorology), Asymptotic Methods, Magnetic Fields, Numerical Analysis, Planetary Atmospheres, Planetary Rotation
Scientific paper
An investigation is conducted regarding the propagation of hydromagnetic planetary-gravity waves in an atmosphere in which the basic state involves a zonal flow and a zonal magnetic field. The problem represents an extension of the study conducted by Charney and Drazin (1961). The Wentzel-Kramers-Brillouin-Jeffreys approximation is used to derive a local dispersion equation relating the vertical and zonal wavenumbers for given wave frequencies and latitudinal wave numbers on which the wavenumber curves are based. It is found that the waves possess four critical levels. The variation of density with latitude is also taken into account. The considered relationship gives rise to the valve-effect behavior. The effect of variation of the rate of rotation with latitude (the beta-effect) is found to introduce trapped modes which do not approach any critical levels. These modes are the classical Rossby modes.
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