Hostname: page-component-745bb68f8f-cphqk Total loading time: 0 Render date: 2025-01-09T21:49:45.298Z Has data issue: false hasContentIssue false
  • English
  • Français

On energy and enstrophy exchanges in two-dimensional non-divergent flow

Published online by Cambridge University Press:  29 March 2006

Philip E. Merilees  and
Helen Warn
Philip E. Merilees
Affiliation:
University Corporation for Atmospheric Research, Boulder, Colorado 80303 Present address: Department of Meteorology, McGill University, Montreal, Quebec, Canada.
Helen Warn
Affiliation:
Department of Meteorology, McGill University, Montreal, Quebec, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

It is shown that, in two-dimensional non-divergent flow in a bounded region, roughly 70% of triad interactions exchange more energy with longer wavelengths than with shorter wavelengths whilst roughly 40% exchange more enstrophy with longer wavelengths than with shorter wavelengths.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 69 , Issue 4 , 24 June 1975 , pp. 625 - 630
Copyright
© 1975 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Charney, J. G. 1971 Geostrophic turbulence J. Atmos. Sci. 28, 1087–1095.Google Scholar
FJØRTOFT, R. 1953 On changes in the spectral distribution of kinetic energy in two-dimensional non-divergent flow Tellus, 5, 225–230.Google Scholar
Green, J. S. A. 1974 Two-dimensional turbulence near the viscous limit J. Fluid Mech. 62, 273.Google Scholar
Kraichnan, R. 1967 Inertial ranges in two-dimensional turbulence Phys. Fluids, 10, 1417–1423.Google Scholar
Lilly, D. K. 1967 The representation of small-scale turbulence in numerical simulation experiments. Proc. IBM Sci. Comp. Symp. on Environ. Sci., pp. 195–210.Google Scholar
Lorenz, E. N. 1960 Maximum simplification of the dynamic equations Tellus, 12, 243–254.Google Scholar