Lagrangian motion of air parcels in the stratosphere in the presence of planetary waves

Details Lagrangian motion of air parcels in the stratosphere in the presence of planetary waves Lagrangian motion of air parcels in the stratosphere in the presence of planetary waves

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980papge.118..189m&link_type=abstract

Pure and Applied Geophysics, vol. 118, no. 1-2, 1980, p. 189-216.

Physics

Geophysics

22

Atmospheric Circulation, Atmospheric Turbulence, Euler-Lagrange Equation, Planetary Waves, Stratosphere, Trajectory Analysis, Temperature Gradients, Tensor Analysis, Turbulent Diffusion, Two Dimensional Models, Vertical Motion, Wave Propagation

Scientific paper

Three-dimensional movements of individual stratospheric air parcels affected by a planetary wave are investigated theoretically, treating a steady, upward propagating wave in a uniform flow. The connection between the mean motion following an air parcel and the generalized Lagrangian-mean motion are discussed. It is shown that trajectories of air parcels are elliptical when projected onto the meridional plane, making a cyclic motion in a definite sense along the trajectories. By applying a mixing length-type hypothesis, an eddy diffusivity formula is derived for use in Eulerian-mean calculations, which, in the case of a conservative tracer, is dominated by an antisymmetric tensor. The eddy transport derived from this diffusivity is advective rather than diffusive in nature, and in effect approximately represents transports due to the Stokes drift. Thus, the Lagrangian and Eulerian schemes for two-dimensional modeling are approximately equivalent.

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