Some properties of planetary Rossby waves and the associated zonal flow acceleration in horizontal and vertical shear on a beta-plane

Mathematics – Logic

Scientific paper

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Atmospheric Circulation, Jet Flow, Middle Atmosphere, Planetary Waves, Shear Flow, Wave Propagation, Zonal Flow (Meteorology), Eigenvalues, Flow Characteristics, Perturbation Theory, Wind Velocity

Scientific paper

Properties of planetary Rossby waves, and zonal flow acceleration by them on a beta-plane, are investigated analytically by means of the two-scale method. It is shown that the lateral structure of planetary waves has the following properties: (1) the lateral scale of planetary waves is larger than that of the mean zonal flow, so that when the zonal flow is weak, the wave amplitude maximum appears at a latitude different from that of the zonal wind; (2) as the zonal wind speed increases, the lateral profile of the wave amplitude becomes close to that of the mean flow; (3) in general, the phase lags in latitudes where the zonal flow is fast in a positive vertical shear flow and leads there, in a dissipative medium; and (4) in a flow that is asymmetric with respect to the flow channel center, a phase maximum of dissipative waves shifts toward the jet side for the case of a weak zonal flow and toward the opposite side of the jet for a strong mean flow.

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