Trajectory Analysis of the Mechanism for Westward Propagation of Rossby Waves

Edwin K. Schneider George Mason University, Fairfax, Virginia, and Center for Ocean–Land–Atmosphere Studies, Calverton, Maryland

Search for other papers by Edwin K. Schneider in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

An analysis of Rossby wave dynamics in two and three dimensions is carried from the point of view of a reference frame propagating with the zonal phase speed of the wave. Since trajectories and streamlines coincide in this reference frame, the mechanism for (westward) propagation of free waves has a different interpretation than in a reference frame fixed to the ground. In the wave reference frame, propagating free-wave solutions are possible only when parcels approach from the west. When parcels approach from the east, potential vorticity cannot be conserved along trajectories.

Corresponding author address: Edwin K. Schneider, Atmospheric, Oceanic, and Earth Sciences, George Mason University, 4400 University Dr., Fairfax, VA 22030. E-mail: schneide@cola.iges.org

Abstract

An analysis of Rossby wave dynamics in two and three dimensions is carried from the point of view of a reference frame propagating with the zonal phase speed of the wave. Since trajectories and streamlines coincide in this reference frame, the mechanism for (westward) propagation of free waves has a different interpretation than in a reference frame fixed to the ground. In the wave reference frame, propagating free-wave solutions are possible only when parcels approach from the west. When parcels approach from the east, potential vorticity cannot be conserved along trajectories.

Corresponding author address: Edwin K. Schneider, Atmospheric, Oceanic, and Earth Sciences, George Mason University, 4400 University Dr., Fairfax, VA 22030. E-mail: schneide@cola.iges.org
Save
  • Cai, M., and B. Huang, 2013a: A new look at the physics of Rossby waves: A mechanical–Coriolis oscillation. J. Atmos. Sci., 70, 303–316, doi:10.1175/JAS-D-12-094.1.

    • Search Google Scholar
    • Export Citation
  • Durran, D. R., 1988: On a physical mechanism for Rossby wave propagation. J. Atmos. Sci., 45, 4020–4022, doi:10.1175/1520-0469(1988)045<4020:OAPMFR>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Gill, A. E., 1982: Atmosphere–Ocean Dynamics.Academic Press, 662 pp.

  • Holton, J. R., and G. J. Hakim, 2012: An Introduction to Dynamic Meteorology.5th ed. Academic Press, 552 pp.

  • Pedlosky, J., 1987: Geophysical Fluid Dynamics. 2nd ed. Springer-Verlag, 710 pp.

  • Rossby, C.-G., 1939: Relation between variations in the intensity of the zonal circulation of the atmosphere and the displacements of the semi-permanent centers of action. J. Mar. Res., 2, 38–55, doi:10.1357/002224039806649023.

    • Search Google Scholar
    • Export Citation
  • Vallis, G. K., 2006: Atmospheric and Oceanic Fluid Dynamics.Cambridge University Press, 745 pp.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 2433 1271 51
PDF Downloads 1166 151 7