Laplace Tidal Equations and the Vertical Structure Equation

  • Joseph Pedlosky
Chapter

Abstract

Let’s return to the linearized wave equations before the gravity waves are filtered out by the quasi-geostrophic approximation. What we will see now is that the analysis of the homogeneous model can be carried over, in important cases, to the motion of a stratified fluid. A vertical modal decomposition can be done for these cases, and we will be able to show that the equations for each vertical mode are analogous to the equations for the single layer. Exactly what that relationship is will be the subject of our development that follows.

Keywords

Stratification Sine Cose 

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References

  1. Andrews DG, Holton JR, Leovy CB (1987) Middle atmosphere dynamics. Academic Press, New York, pp 489 (especially Chapter 4)Google Scholar
  2. Moore DS, Philander SGH (1977) Modeling the tropical oceanic circulation. In: Goldberg ED, McCave IN, O’Brien JJ, Steele JH (eds) The Sea, vol 6. Wiley Interscience, pp 319–361Google Scholar
  3. Pedlosky J (1987) Geophysical fluid dynamics. Springer-Verlag, New York, pp 710 (especially Chapter 6)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Joseph Pedlosky
    • 1
  1. 1.Department of Physical OceanographyWoods Hole Oceanographic InstitutionWoods HoleUSA

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