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Waves

  • Masaki Satoh
Chapter
Part of the Springer Praxis Books book series (PRAXIS)

Abstract

Constituting the basis of atmospheric dynamics, the fundamental properties of waves are described in this chapter. Waves are themselves important atmospheric motions and play roles in transporting energy, momentum, and tracers. Waves also have remote effects through their propagations. In this chapter, to begin with, we briefly review wave theory. Then, the governing equations of the atmosphere are linearized under various conditions including sound waves, gravity waves, inertial waves, Rossby waves, spherical waves, and equatorial waves. The structures and propagations of these waves are explained using the linear system. We mainly consider cases when the basic properties are spatially uniform. Wave propagations in an inhomogeneous flow will not be described in this chapter, although they are important and have interesting behaviors.

Keywords

Dispersion Relation Group Velocity Gravity Wave Sound Wave Rossby Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References and suggested reading

  1. Gill, A. E., 1980: Some simple solutions for heat-induced tropical circulation. Q. J.Roy. Meteorol. Soc., 106, 447–462.CrossRefGoogle Scholar
  2. Gill, A. E., 1982: Atmosphere-Ocean Dynamics. Academic Press, San Diego, 662 pp.Google Scholar
  3. Hoskins, B. J., McIntyre, M. E., and Robertson, A.W., 1985: On the use and significance of isentropic potential vorticity maps. Q. J.Roy. Meteorol. Soc., 111, 877–946.CrossRefGoogle Scholar
  4. Lighthill, M. J., 1978: Waves in Fluids. Cambridge University Press, Cambridge, UK, 504 pp.Google Scholar
  5. Longuet-Higgins, M. S., 1968: The eigenfunctions of Laplace’s tidal equations over a sphere. Phil. Trans.Roy. Soc. Lond., A262, 511–607.Google Scholar
  6. Matsuno, T., 1966: Quasi-geostrophic motions in the equatorial area. J. Meteorol. Soc. Japan, 44, 25–43.Google Scholar
  7. Swarztrauber, P.N. and Kasahara, A., 1985: The vector harmonic analysis of Laplace’s tidal equations. SIAM J. Sci. and Stat.Comput., 6, 464–491.CrossRefGoogle Scholar
  8. Whitham, G. B., 1974: Linear and Nonlinear Waves. Wiley-Interscience. New York, 636 pp.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Masaki Satoh
    • 1
  1. 1.Atmosphere and Ocean Research InstituteThe University of TokyoKashiwaJapan

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