Skip to main content
Have a personal or library account? Click to login
On nonlinear cascades of atmospheric energy and enstrophy in a two-dimensional spectral index Cover

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

Open Access
|Jan 1978

References

  1. Baer , F . 1972 . An alternate scale representation of atmospheric energy spectra . J. Atmos. Sci . 29 , 649 664 .
  2. Baer , F . 1974 . Hemispheric spectral statistics of avail-able potential energy . J. Atmos. Sci . 31 , 932 941 .
  3. Barros , V. R. and Wiin-Nielsen , A . 1974 . On quasi-geostrophic turbulence: a numerical experiment . J. Atmos, Sci . 31 , 609 621 .
  4. Burrows , W. R . 1976 . A diagnostic study of atmospheric spectral kinetic energetics . J. Atmos. Sci . 33 , 2308 2321 .
  5. Charney , J. G . 1971 . Geostrophic turbulence . J. Atmos. Sci . 28 , 1087 1095 .
  6. 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 .
  7. 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.
  8. 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 .
  9. Eliasen , E. and Machenhauer , B . 1969 . On the observed large-scale atmospheric waves . Tellus 21 , 149 165 .
  10. Ellsaesser , H. W . 1966 . Expansion of hemispheric meteorological data in antisymmetric surface spherical harmonic (Laplace) series . J. Appl. Meteor . 5 , 263 276 .
  11. Fjørtoft , R . 1953 . On the changes in the spectral distribution of kinetic energy for two-dimensional, nondivergent flow . Tellus 5 , 225 230 .
  12. 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.
  13. Gates , W. L . 1961 . Static stability measures in the atmosphere . J. Meteor . 18 , 526 533 .
  14. Kraichnan , R. H . 1967 . Inertial subranges in two-dimensional turbulence . Phys. Fluids 10 , 1417 1423 .
  15. Leith , C. E . 1968 . Diffusion approximation for two-dimensional turbulence . Phys. Fluids 11 , 671 673 .
  16. Lilly , D. K . 1969 . Numerical simulation of two-dimensional turbulence. Phys. Fluids 12, Suppl. 11-240 to II-249.
  17. Lilly , D. K . 1972 . Numerical simulation studies of two-dimensional turbulence . Geophys. Fluid. Dyn . 3 , 289 319 .
  18. 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.
  19. Merilees , P. E . 1966 . Harmonic representation applied to large-scale atmospheric wave . Publication No. 83 , Meteorology , 174 pp .
  20. Merilees , P. E. and Warn , T . 1972 . The resolution implications of geostrophic turbulence. J. Atmos. Sc i . 29 . 990 991 .
  21. 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.
  22. Platzman , G. W . 1960 . The spectral form of the vorticity equation . J. Meteor . 17 , 635 644 .
  23. Saltzman , B . 1970 . Large-scale atmospheric energetics in the wavenumber domain . Rev. Geophys. Space Phys . 8 , 289 302 .
  24. 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 .
  25. Steinberg , H. L . 1973 . Numerical simulation of quasi-geostrophic turbulence . Tellus 25 , 233 246 .
  26. Wiin-Nielsen , A . 1967 . On the annual variation and spectral distribution of atmospheric energy . Tellus 19 , 540 559 .
  27. Wiin-Nielsen , A . 1972 . A study of power laws in the atmospheric kinetic energy spectrum using spherical harmonic functions . Meteor. Ann . 6 , 107 124 .
  28. 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.
Language: English
Page range: 313 - 322
Submitted on: Jul 13, 1977
Published on: Jan 1, 1978
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1978 Tsing-Chang Chen, Aksel Wiin-Nielsen, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.