129
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

On nonlinear cascades of atmospheric energy and enstrophy in a two-dimensional spectral index

&
Pages 313-322 | Received 13 Jul 1977, Published online: 15 Dec 2016

References

  • Baer, F. 1972. An alternate scale representation of atmospheric energy spectra. J. Atmos. Sci. 29, 649–664.
  • Baer, F. 1974. Hemispheric spectral statistics of avail-able potential energy. J. Atmos. Sci. 31, 932–941.
  • Barros, V. R. and Wiin-Nielsen, A. 1974. On quasi-geostrophic turbulence: a numerical experiment. J. Atmos, Sci. 31, 609–621.
  • Burrows, W. R. 1976. A diagnostic study of atmospheric spectral kinetic energetics. J. Atmos. Sci. 33, 2308–2321.
  • Charney, J. G. 1971. Geostrophic turbulence. J. Atmos. Sci. 28, 1087–1095.
  • Chen, T. C. and Wiin-Nielsen, A. 1976. On the kinetic energy of the divergent and nondivergent flow in the atmosphere. Tellus 28, 486–497.
  • Cooley, D. S. 1974. A description of the Flattery global analysis method #1. Tech. Procedures Bulletin #105 (W 111X1), Department of Commerce, NOAA, NWS, Silver Springs, Maryland.
  • Eliasen, E. and Machenhauer, B. 1965. A study of the fluctuations of the atmospheric planetary flow pat-terns represented by spherical harmonics. Tellus 17, 220–238.
  • Eliasen, E. and Machenhauer, B. 1969. On the observed large-scale atmospheric waves. Tellus 21, 149–165.
  • Ellsaesser, H. W. 1966. Expansion of hemispheric meteorological data in antisymmetric surface spherical harmonic (Laplace) series. J. Appl. Meteor. 5,263–276.
  • Fjørtoft, R. 1953. On the changes in the spectral distribution of kinetic energy for two-dimensional, nondivergent flow. Tellus 5, 225–230.
  • Flattery, T. W. 1970. Spectral models for global analysis and forecasting. Proceedings of the Sixth A.M.S. Technical Exchange Conference, U.S. Naval Academy, 21-24 September, 1970. Air Weather Service Tech. Rep. 242.
  • Gates, W. L. 1961. Static stability measures in the atmosphere. J. Meteor. 18, 526–533.
  • Kraichnan, R. H. 1967. Inertial subranges in two-dimensional turbulence. Phys. Fluids 10, 1417–1423.
  • Leith, C. E. 1968. Diffusion approximation for two-dimensional turbulence. Phys. Fluids 11, 671–673.
  • Lilly, D. K. 1969. Numerical simulation of two-dimensional turbulence. Phys. Fluids 12, Suppl. 11-240 to II-249.
  • Lilly, D. K. 1972. Numerical simulation studies of two-dimensional turbulence. Geophys. Fluid. Dyn. 3,289–319.
  • Machenhauer, B. and Rasmussen, E. 1972. On the integration of the spectral hydrodynamic equations by a transformed method. Report No. 3, Copenhagen University, Institute for Theoretical Meteorology, 44 pp.
  • Merilees, P. E. 1966. Harmonic representation applied to large-scale atmospheric wave. Publication No. 83, Meteorology, 174 pp.
  • Merilees, P. E. and Warn, T. 1972. The resolution implications of geostrophic turbulence. J. Atmos. Sci. 29. 990–991.
  • Merilees, P. E. and Warn, T. 1975. On energy and enstrophy exchanges in two-dimensional non-divergent flow. J. Fluid Dyn. 69, part 4,625-630.
  • Platzman, G. W. 1960. The spectral form of the vorticity equation. J. Meteor. 17, 635–644.
  • Saltzman, B. 1970. Large-scale atmospheric energetics in the wavenumber domain. Rev. Geophys. Space Phys. 8, 289–302.
  • Steinberg, H. L., Wiin-Nielsen, A. and Yang, C. H. 1971. On nonlinear cascades in large-scale atmospheric flow. J. Geophys. Res. 76, 8829–8840.
  • Steinberg, H. L. 1973. Numerical simulation of quasi-geostrophic turbulence. Tellus 25, 233–246.
  • Wiin-Nielsen, A. 1967. On the annual variation and spectral distribution of atmospheric energy. Tellus 19, 540–559.
  • Wiin-Nielsen, A. 1972. A study of power laws in the atmospheric kinetic energy spectrum using spherical harmonic functions. Meteor. Ann. 6, 107–124.
  • Wiin-Nielsen, A. 1974. A note on Fjortoft's blocking theorem. Report of the International Symposium of Spectral Methods in Numerical Weather Prediction, Copenhagen, 12-16 August 1974. The GARP Pro-gramme on Numerical Experimentation, Report No. 7, December 1974,105-117.