On the formulation of a nonlinear atmospheric tidal theory from the meteorological primitive equations
- 32 Downloads
The theory of atmospheric tides is derived from the meteorological primitive equations by means of a perturbation expansion in Rossby number. Separation of the system for the first order variables into the standard horizontal and vertical structure equations of tidal theory is effected.
KeywordsStructure Equation Vertical Structure Order Variable Primitive Equation Perturbation Expansion
Unable to display preview. Download preview PDF.
- R. E. Dickinson,Propagators of atmospheric motions, PhD thesis; also M.I.T. Planetary Circulations Project, Report No. 18 (1966), 243 pp.Google Scholar
- T. W. Flattery,Hough functions, University of Chicago Dept. Sciences, Tech. Rept. No. 21 (1967), 175 pp.Google Scholar
- S. S. Hough,On the application of harmonic analysis to the dynamical theory of the tides. Part II.On the general integration of Laplace's dynamical equations. Phil. Trans. Roy. Soc. [A]191 (1898), 139–185.Google Scholar
- H. Lamb,On atmospheric oscillations, Proc. Roy. Soc. [A]84 (1910), 551–572.Google Scholar
- R. S. Lindzen,On the theory of the diurnal tide, Mon. Wea. Rev.94 (1966), 295–301.Google Scholar
- R. S. Lindzen,Thermally driven diurnal tide in the atmosphere, Quart. J. Roy. Met. Soc.93 (1967), 18–42.Google Scholar
- M. S. Longuet-Higgins,The eigenfunctions of Laplace's tidal equation over a sphere, Phil. Trans. Roy. Soc. [A]262 (1968), in press.Google Scholar
- C. L. Pekeris andZ. Alterman,The atmosphere and the sea in motion (The Rockefeller Institute Press, New York 1959), 268–276.Google Scholar
- N. A. Phillips,Geostrophic motion, Rev. Geophysics1 (1963), 123–176.Google Scholar
- N. A. Phillips,The equations of motion for a shallow rotating atmosphere and the ‘traditional approximation’, Jour. Atmos. Sci.23 (1966), 626–627.Google Scholar
- M. Siebert,Atmospheric Tides in:Advances in Geophysics 7 (Academic Press, 1961), 105–187.Google Scholar