Ultra-Long Waves and Two-Dimensional Rossby Waves

John M. Wallace Department of Atmospheric Sciences, AK-40, University of Washington, Seattle, 98195

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Huang-Hsiung Hsu Department of Atmospheric Sciences, AK-40, University of Washington, Seattle, 98195

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Abstract

The characteristics of planetary wave dispersion in the wintertime troposphere are investigated on the basis of 5 day mean 500 mb height data for 30 winters, making use of simple analysis techniques involving lag-correlation maps for individual gridpoints and for Fourier coefficients of zonal wavenumbers 1 and 2 on 50°N. It is shown that the time evolution of the planetary-waves is dominated by energy dispersion through longitudinally localized wavetrains with “great circle route” orientations, revealed most clearly by the lag-correlation maps for individual gridpoints. When the polarity of these localized patterns is such that large anomalies of like (opposing) sign appear in the Atlantic and Pacific sectors near 50°N, a strong zonal wavenumber 2 (1) pattern results. These wavenumber 1 and 2 patterns do not retain their identity from one 5 day period to the next as distinctly as the localized wavetrains do.

The conceptual model of Rossby-wave propagation along latitude circles still appears to be valid for the wintertime stratosphere, where the waves have the same two-dimensional scale as the polar vortex itself, and for external Rossby-modes such as those described by Madden (1978). It may also be valid at times in the Southern Hemisphere troposphere.

Abstract

The characteristics of planetary wave dispersion in the wintertime troposphere are investigated on the basis of 5 day mean 500 mb height data for 30 winters, making use of simple analysis techniques involving lag-correlation maps for individual gridpoints and for Fourier coefficients of zonal wavenumbers 1 and 2 on 50°N. It is shown that the time evolution of the planetary-waves is dominated by energy dispersion through longitudinally localized wavetrains with “great circle route” orientations, revealed most clearly by the lag-correlation maps for individual gridpoints. When the polarity of these localized patterns is such that large anomalies of like (opposing) sign appear in the Atlantic and Pacific sectors near 50°N, a strong zonal wavenumber 2 (1) pattern results. These wavenumber 1 and 2 patterns do not retain their identity from one 5 day period to the next as distinctly as the localized wavetrains do.

The conceptual model of Rossby-wave propagation along latitude circles still appears to be valid for the wintertime stratosphere, where the waves have the same two-dimensional scale as the polar vortex itself, and for external Rossby-modes such as those described by Madden (1978). It may also be valid at times in the Southern Hemisphere troposphere.

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