280
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

On the normal modes of Laplace’s tidal equations for zonal wavenumber zero

&
Pages 18-32 | Received 01 Feb 1991, Accepted 19 Jun 1991, Published online: 15 Dec 2016

References

  • Baer, F. 1981. Three-dimensional scaling and structure of atmospheric energetics. J. Atmos. Sci. 38, 52–68.
  • Baer, F. and Tribbia, J. J. 1977. On complete filtering of gravity modes through nonlinear initialization. Mon. Wea. Rev. 105, 1536–1539.
  • Chapman, S. and Lindzen, R. S. 1970. Atmospheric tides. Gordon and Breach, New York, 200 pp.
  • Errico, R. 1987. A Description of Software for Determination of Normal Modes of the NCAR Community Climate Model. NCAR Technical Note, NCAR/TN — 277 + STR. 86 pp.
  • Errico, R. 1989. Theory and application of nonlinear normal mode initialization. NCAR Technical Note, NCAR/TN — 344 + IA. 145 pp.
  • Kasahara, A. 1976. Normal modes of ultralong waves in the atmosphere. Mon. Wea. Rev. 104, 669–690.
  • Kasahara, A. 1977. Numerical integration of the global barotropic primitive equations with Hough harmonic expansions. J. Atmos. Sci. 34, 687–701.
  • Kasahara, A. 1978. Further studies on a spectral model of the global barotropic primitive equations with Hough harmonic expansions. J. Atmos. Sci. 35, 2043–2051.
  • Kasahara, A. and Puri, K. 1981. Spectral representation of three-dimensional global data by expansion in normal mode functions. Mon. Wea. Rev. 109, 37–51.
  • Kung, E. C. 1988. Spectral energetics of the general circulation and time spectra of transient waves during the FGGE year. J. Climate 1, 5–19.
  • Longuet-Higgins, M. S. 1968. The eigenfunctions of Laplace's tidal equations over a sphere. Phil. Trans. Roy. Soc. London A262, 511–607.
  • Machenhauer, B. 1977. On the dynamics of gravity oscillations in a shallow water model with applications to nonlinear normal mode initialization. Beitrage zur Physik der Atmosphdre 50, 253–271.
  • Matsuno, T. 1966. Quasi-geostrophic motions in the equatorial area. J. Meteor. Soc. Japan 44, 25–43.
  • Salby, M. L., Garcia, R. R., O'Sullivan, D. and Tribbia, J. 1990. Global transport calculations with an equivalent barotropic system. J. Atmos. Sci. 47, 188–214.
  • Shepherd, T. G. 1987. A spectral view of nonlinear fluxes and stationary-transient interaction in the atmosphere. J. Atmos. Sci. 44, 1166–1178.
  • Shigehisa, Y. 1983. Normal modes of the shallow water equations for zonal wavenumber zero. J. Meteor. Soc. Japan 61, 479–493.
  • Silva Dias, P. L. and Schubert, W. H. 1979. The dynamics of equatorial mass-flow adjustment. Atmos. Sci. Paper No. 312, Department of Atmospheric Science, Colorado State University.
  • Swarztrauber, P. N. and Kasahara, A. 1985. The vector harmonics analysis of Laplace's tidal equations. SIAM J. Sci. Stat. Comput. 6, 464–491.
  • Tanaka, H. 1985. Global energetics analysis by expansion into three-dimensional normal mode functions during the FGGE winter. J. Meteor. Soc. Japan 63, 180–200.
  • Tanaka, H. L. and Kung, E. C. 1988. Normal mode energetics of the general circulation during the FGGE year. J. Atmos. Sci. 45, 3723–3736.
  • Tanaka, H. L. and Sun, S. 1990. A study of baroclinic energy source for large-scale atmospheric normal modes. J. Atmos. Sci. 47, 2674–2695.
  • Tanaka, H. L., Kung, E. C. and Baker, W. E. 1986. Energetics analysis of the observed and simulated general circulation using three-dimensional normal mode expansion. Tellus 38A, 412–428.
  • Tribbia, J. J. 1979. Nonlinear initialization on an equatorial beta-plane. Mon. Wea. Rev. 107, 703–713.