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research
Gravity waves generated by sheared potential vorticity anomalies
Authors
François Lott
Riwal Plougonven
Jacques Vanneste
Publication date
1 January 2010
Publisher
American Meteorological Society
Doi
Cite
Abstract
International audienceThe gravity waves (GWs) generated by potential vorticity (PV) anomalies in a rotating stratified shear flow are examined under the assumptions of constant vertical shear, two-dimensionality, and unbounded domain. Near a PV anomaly, the associated perturbation is well modeled by quasigeostrophic theory. This is not the case at large vertical distances, however, and in particular beyond the two inertial layers that appear above and below the anomaly; there, the perturbation consists of vertically propagating gravity waves. This structure is described analytically, using an expansion in the continuous spectrum of the singular modes that results from the presence of critical levels. Several explicit results are obtained. These include the form of the Eliassen-Palm (EP) flux as a function of the Richardson number N2/?2, where N is the Brunt-Väisälä frequency and L the vertical shear. Its nondimensional value is shown to be approximately exp(-N/L)/8 in the far-fieldGWregion, approximately twice that between the two inertial layers. These results,which imply substantialwave-flowinteractions in the inertial layers, are valid for Richardson numbers larger than 1 and for a large range of PV distributions. In dimensional form they provide simple relationships between the EP fluxes and the large-scale flow characteristics. As an illustration, the authors consider a PV disturbance with an amplitude of 1 PVU and a depth of 1 km, and estimate that the associated EP flux ranges between 0.1 and 100 mPa for a Richardson number between 1 and 10. These values of the flux are comparable with those observed in the lower stratosphere, which suggests that the mechanism identified in this paper provides a substantial gravity wave source, one that could be parameterized in GCMs. © 2010 American Meteorological Society
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