Skip to main content

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
Cancel
×
×
Home
  • Home
Article
  • Cited by 39
  • Cited by
    Crossref Citations
    Crossref logo
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    LaCasce, J. H. 2017. The Prevalence of Oceanic Surface Modes. Geophysical Research Letters, Vol. 44, Issue. 21, p. 11,097.
    Skiba, Yuri N. 2017. Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere. p. 1.
    Skiba, Yuri N. 2017. Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere. p. 79.
    Skiba, Yuri N. 2015. Stability of Zonal Flows on a Sphere. IFAC-PapersOnLine, Vol. 48, Issue. 11, p. 581.
    Lanzafame, Giuseppe 2015. Collective molecular dissipation on Navier–Stokes macroscopic scales: Accretion disc viscous modeling in SPH. International Journal of Modern Physics D, Vol. 24, Issue. 03, p. 1550028.
    Gkioulekas, Eleftherios 2014. Energy and potential enstrophy flux constraints in quasi-geostrophic models. Physica D: Nonlinear Phenomena, Vol. 284, Issue. , p. 27.
    Rivera, M. K. Aluie, H. and Ecke, R. E. 2014. The direct enstrophy cascade of two-dimensional soap film flows. Physics of Fluids, Vol. 26, Issue. 5, p. 055105.
    Burgess, B. H. and Shepherd, T. G. 2013. Spectral non-locality, absolute equilibria and Kraichnan–Leith–Batchelor phenomenology in two-dimensional turbulent energy cascades. Journal of Fluid Mechanics, Vol. 725, Issue. , p. 332.
    2012. Waves and Oscillations in Plasmas. Vol. 20121257, Issue. , p. 529.
    FARAZMAND, M. M. KEVLAHAN, N. K.-R. and PROTAS, B. 2011. Controlling the dual cascade of two-dimensional turbulence. Journal of Fluid Mechanics, Vol. 668, Issue. , p. 202.
    Gkioulekas, Eleftherios 2010. Dissipation scales and anomalous sinks in steady two-dimensional turbulence. Physical Review E, Vol. 82, Issue. 4,
    Tsang, Yue-Kin and Young, William R. 2008. Energy-enstrophy stability of β-plane Kolmogorov flow with drag. Physics of Fluids, Vol. 20, Issue. 8, p. 084102.
    Arbic, Brian K. Flierl, Glenn R. and Scott, Robert B. 2007. Cascade Inequalities for Forced–Dissipated Geostrophic Turbulence. Journal of Physical Oceanography, Vol. 37, Issue. 6, p. 1470.
    Watanabe, Takeshi and Iwayama, Takahiro 2007. Interacting scales and triad enstrophy transfers in generalized two-dimensional turbulence. Physical Review E, Vol. 76, Issue. 4,
    Gkioulekas, Eleftherios and Tung, Ka-Kit 2006. Recent Developments in Understanding Two-dimensional Turbulence and the Nastrom–Gage Spectrum. Journal of Low Temperature Physics, Vol. 145, Issue. 1-4, p. 25.
    Tran, Chuong V. 2005. Enstrophy dissipation in freely evolving two-dimensional turbulence. Physics of Fluids, Vol. 17, Issue. 8, p. 081704.
    Watanabe, Takeshi and Iwayama, Takahiro 2004. Unified Scaling Theory for Local and Non-local Transfers in Generalized Two-dimensional Turbulence. Journal of the Physical Society of Japan, Vol. 73, Issue. 12, p. 3319.
    Tran, Chuong V. and Bowman, John C. 2003. On the dual cascade in two-dimensional turbulence. Physica D: Nonlinear Phenomena, Vol. 176, Issue. 3-4, p. 242.
    Tran, Chuong V. and Shepherd, Theodore G. 2002. Constraints on the spectral distribution of energy and enstrophy dissipation in forced two-dimensional turbulence. Physica D: Nonlinear Phenomena, Vol. 165, Issue. 3-4, p. 199.
    Iwayama, Takahiro Watanabe, Takeshi and Shepherd, Theodore G. 2001. Infrared Dynamics of Decaying Two-Dimensional Turbulence Governed by the Charney-Hasegawa-Mima Equation. Journal of the Physical Society of Japan, Vol. 70, Issue. 2, p. 376.
    Download full list
    ×
  • Get access
    Add to cart USD35.00
    Check if you have access via personal or institutional login
    Log in Register Recommend to librarian

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

  • Philip E. Merilees (a1) (a2) and Helen Warn (a3)
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.

Copyright
© 1975 Cambridge University Press
References
Hide All
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Charney, J. G. 1971 Geostrophic turbulence J. Atmos. Sci. 28, 1087–1095.
FJØRTOFT, R. 1953 On changes in the spectral distribution of kinetic energy in two-dimensional non-divergent flow Tellus, 5, 225–230.
Green, J. S. A. 1974 Two-dimensional turbulence near the viscous limit J. Fluid Mech. 62, 273.
Kraichnan, R. 1967 Inertial ranges in two-dimensional turbulence Phys. Fluids, 10, 1417–1423.
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.
Lorenz, E. N. 1960 Maximum simplification of the dynamic equations Tellus, 12, 243–254.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *

CAPTCHA *

Skip to the audio challenge
×
MathJax

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 29 *
Loading metrics...

Abstract views

Total abstract views: 128 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 12th June 2018. This data will be updated every 24 hours.

Cancel
Confirm
×