The Dynamics of Two Dimensional Turbulence

  • T. Maxworthy
Part of the NATO ASI Series book series (ASIC, volume 318)

Abstract

The diffusive and spectral character of a decaying quasi two-dimensional turbulent field has been determined experimentally. The spectral slopes found are steeper than those expected from classical theories but comparable to those found in numerical simulation. The geometry of the resulting vorticity fields has been explored using the techniques of fractal geometry. A fractal description has been found to be a useful adjunct to the more conventional measures of turbulent activity.

Keywords

Fractal Dimension Internal Wave Fractal Geometry Spectral Slope Vorticity Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Babiano, A., Basdevant, C. and Sadourny, R. 1985, “Structure Functions and Dispersion Laws in Two-Dimensional Turbulence”, J. Atmos. Set., 42, 941–49.CrossRefGoogle Scholar
  2. Batchelor, G. K. 1969, “Computation of the Energy Spectrum in Homogeneous, Two-Dimensional Turbulence”, Phys. Fl. (Suppl.), 12, II233.Google Scholar
  3. Browand, F. K. and Hopfinger, E. J. 1985, “The Inhibition of Vertical Turbulence Scales by Stable Stratification”. In Turbulence and Diffusion in Stable Environments, Clarendon Press, Oxford.Google Scholar
  4. Griffiths, R. W. and Hopfinger, E. J. 1986, “The Structure of Mesoscale Turbulence and Horizontal Spreading at Ocean Fronts”, Deep-Sea Research, 31, 245–69.CrossRefGoogle Scholar
  5. Kraichnan, R. H. 1967, “Inertial Ranges in Two-dimensional Turbulence”, Phys. Fl., 10, 1417–23.CrossRefGoogle Scholar
  6. Liu, Y. N., Maxworthy, T. and Spedding, G. R. 1987, “Collapse of a Turbulent Front in a Stratified Fluid”, J. Geophs. Res., 92, 5427–33.CrossRefGoogle Scholar
  7. Mandelbrodt, B. B. 1982, The Fractal Geometry of Nature, W. H. Freeman & Co., New York.Google Scholar
  8. McWilliams, J. C. 1984, “The Emergence of Isolated Coherent Vortices in a Turbulent Flow”, J. Fluid Mechs., 146, 21–43.CrossRefGoogle Scholar
  9. Peitgen, H-O. and Saupe, D. 1988 The Science of Fractal Images, Springer-Verlag, New York.Google Scholar
  10. Santangelo, P., Benzi, R. and Legras, B. 1989, “The Generation of Vortices in High-Resolution, Two-Dimensional Decaying Turbulence and the Influence of Initial Conditions on the Breaking of Self-Similarity”, Phys. Fl., A1, 1027–34.Google Scholar

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • T. Maxworthy
    • 1
  1. 1.Departments of Mechanical & Aerospace EngineeringUniversity of Southern CaliforniaLos AngelesUSA

Personalised recommendations