Izvestiya, Atmospheric and Oceanic Physics

, Volume 54, Issue 6, pp 524–527 | Cite as

On the Local Structure of Two-Dimensional Turbulence

  • A. L. TseskisEmail author


Possible consequences of the application of the Kolmogorov theory of local isotropy to two-dimensional turbulence are discussed. In this regard, the cases of both freely decaying and stationary turbulence are considered. Formulae for the third-order structure functions in the inertial interval are obtained as the solutions of the Karman—Howarth equation with the use of the well-known relation between the velocity and vorticity correlators. These formulae differ from those given by other authors; that is, the variable term linear in space turns out to be negative in the corresponding formula, as in the three-dimensional case. The possible relation of the results to the form of the energy spectrum is briefly mentioned.


decaying turbulence stationary turbulence energy enstrophy inertial interval structure function spectrum 



We are grateful to G.S. Golitsyn for his attention to the paper and our fruitful discussion.


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Am Weidenbusch 29LeverkusenGermany

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