103
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On the spectral equations and the statistical energy spectrum of atmospheric motions in the frequency domainFootnote1

Pages 608-619 | Received 23 Jun 1969, Accepted 01 Sep 1970, Published online: 15 Dec 2016

References

  • Calder, K. L. 1959. The criterion of turbulence in a fluid of variable density with particular ref-erence to conditions in the atmosphere. Quart. J. Roy. Meteor. Soc. 75,71–88.
  • Chiu, Wan-Cheng 1960. The wind and tempera-ture spectra of upper troposphere and lower stratosphere over North America. J. Meteor. 17, 64–77.
  • Chiu, Wan-Cheng 1961. The energy equation of atmospheric motions in the frequency domain. Scientific Report No. 2, A F 19(604)-6146. Department of Meteorology and Oceanography, New York University. 19 pp.
  • Chiu, Wan-Cheng 1968. The energy equation of atmospheric motions in the frequency domain. NCAR MS 68-86, National Center for Atmo-spheric Research. 34 pp.
  • Dutton, John A. 1963. The rate of change of the kinetic energy spectrum of flow in a compressible fluid. J. Atmos. Sri. 20, 107–114.
  • Ertel, H. 1943. Die Hydro-thermodynamischen Grundgleichungen turbulenter Luftströmungen. Meteor. Zeitschrift 60, 289–295.
  • Fultz, D. et al. 1959. Studies of thermal convection in a rotating cylinder with some applications for large-scale atmospheric motions. Meteor. Monog. 4 (21), Amer. Meteor. Soc. 104 pp.
  • Gilman, D. L., Fuglister, F. J. & Mitchell, J. M., Jr, 1963. On the power spectrum of “Red Noise”. J. Atmos. Sri. 10, 182-184.
  • Horn, Lyle H & Bryson, Reid A. 1963. An analysis of the geostrophic kinetic energy spectrum of large-scale atmospheric turbulence. J. Geophys. Res. 68, 1059–1064.
  • Kao, S. K. 1968. Governing equations and spectra for atmospheric motion and transports in fre-quency, wave-number space. J. Atmos. Sri. 25, 32–38.
  • Kraichnan, Robert H. 1967. Inertial ranges in two-dimensional turbulence. Phys. Fluid. 10, 1417–1423.
  • Lettau, Heinz 1954. Notes on the transformation of mechanical energy from and to eddying mo-tion. J. Meteor. 11, 196–201.
  • Miller, J. E. 1950. Energy transformation function. J. Meteor. 7,153–159.
  • Oort, A. H. 1964. On the energetics of the mean and eddy circulations in the lower stratosphere. Tellus 17, 309–327.
  • Panofsky, Hans A. & Brier, Glenn W. 1958. Some applications of statistics to meteorology. The Penn-sylvania State University. 224 pp.
  • Reynolds, O. 1895. On the dynamical theory of incompressible fluids and the determination of the criterion. Phil. Trans. Roy. Soc. London, A, 186, 123–164.
  • Saltzman, B. 1957. Equations governing the ener-getics of the large scales of atmospheric turbu-lence in the domain of wave number. J. Meteor. 14, 513–523.
  • Shapiro, R. & Ward, F. 1960. The time-space spec-trum of the geostrophic meridional kinetic energy. J. Meteor. 17, 621–626.
  • Starr, V. P. 1948. On the production of kinetic energy in the atmosphere. J. Meteor. 5, 193–196.
  • Starr, V. P. 1958. What constitutes our new out-look on the general circulation? J. Meteor. Soc. Japan, Ser. II, 36, 167–173.
  • Van Mieghem, J. 1952. Energy conversion in the atmosphere on the scale of the general circulation. Tellus 4, 334–351.
  • Ward, F. & Shapiro, R. 1961. Meteorological perio-dicities. J. Meteor. 18, 635–656.
  • White, R. M. & Nolan, G. F. 1960. A preliminary study of the potential to kinetic energy conver-sion process in the stratosphere. Tellus 12, 145–148.
  • White, R. M. & Saltzman, B. 1956. On conversions between potential and kinetic energy in the at-mosphere. Tellus 8, 357–363.