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Advances in Atmospheric Sciences

, Volume 21, Issue 1, pp 34–40 | Cite as

Physical mechanism and model of turbulent cascades in a barotropic atmosphere

  • Huang Feng Email author
  • Liu Shikuo 
Article

Abstract

In a barotropic atmosphere, new Reynolds mean momentum equations including turbulent viscosity, dispersion, and instability are used not only to derive the KdV-Burgers-Kuramoto equation but also to analyze the physical mechanism of the cascades of energy and enstrophy. It shows that it is the effects of dispersion and instability that result in the inverse cascade. Then based on the conservation laws of the energy and enstrophy, a cascade model is put forward and the processes of the cascades are described.

Key words

physical mechanism cascade model turbulence barotropic atmosphere 

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References

  1. Batchelor, G. K., 1969: Computation of the energy spectrum in homogeneous two-dimensional turbulence.Phys. Fluids Suppl.II,12, 233–239.Google Scholar
  2. Fjørtoft, 1953: On the changes in the spectral distribution of kinetic energy for two dimensional nondivergent flow.Tellus,5(3), 225–230.CrossRefGoogle Scholar
  3. Kraichnan, R. H., 1967: Inertial ranges in two-dimensional turbulence.Phys. Fluids,10(7), 1417–1423.CrossRefGoogle Scholar
  4. Leith, C. E., 1968: Diffusion approximation for twodimensional turbulence.Phys. Fluids Suppl. II, 671–673.Google Scholar
  5. Leith, C. E., 1971: Atmospheric predictability and twodimensional turbulence.J. Atmos. Sci.,28(2), 145–161.CrossRefGoogle Scholar
  6. Liu Shikuo, and Liu Shida, 1991:The Atmospheric Dynamics. The Press of Peking Unviersity, 536pp. (in Chinese)Google Scholar
  7. Liu Shikuo, and Liu Shida, 1992: Dissipation and dispersion effects of turbulence.Chinese Journal of Atmospheric Sciences,16(2), 205–215. (in Chinese)Google Scholar
  8. Liu Shikuo, and Liu Shida, 1995: On the dispersion effects of atmospheric motion.Dyn. Atmos. Oceans,22, 77–90.CrossRefGoogle Scholar
  9. Polya, G., and G. Szego., 1978:Problems and Theorems in Analysis I. Springer-Verlag, 67pp.Google Scholar
  10. Shivamoggi, B. K., 2000: Direct and inverse cascades in two-dimensional turbulence with a generalized enstrophy invariant.International Journal of Theoretical Physics,39(1), 83–87.CrossRefGoogle Scholar
  11. Starr, V. P., 1966:Physics of Negative Viscosity Phenomena. McGraw-Hill, 255pp.Google Scholar

Copyright information

© Advances in Atmospheric Sciences 2004

Authors and Affiliations

  1. 1.School of PhysicsPeking UniversityBeijing

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