Statistical Properties of Velocity Increments in Two-Dimensional Turbulence

  • Michel Voßkuhle
  • Oliver Kamps
  • Michael Wilczek
  • Rudolf Friedrich
Part of the Springer Proceedings in Physics book series (SPPHY, volume 131)

Abstract

The multiple-point probability density f(v1, r1; v2, r2; ...vN, rN ) of velocity increments vi at different length scales ri is investigated in a direct numerical simulation of two-dimensional turbulence. It has been shown for experimental data of three-dimensional turbulence, that this probability density can be represented by conditional probability densities in form of a Markov chain [1]. We have extended this analysis to the case of two-dimensional forced turbulence in the inverse cascade regime.

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References

  1. 1.
    Friedrich, R., Peinke, J.: Description of a Turbulent Cascade by a Fokker-Planck Equation. Phys. Rev. Lett. (1997), doi:10.1103/PhysRevLett.78.863Google Scholar
  2. 2.
    Kamps, O., Friedrich, R.: Lagrangian statistics in forced two-dimensional turbulence. Phys. Rev. E (2008), doi:10.1103/PhysRevE.78.036321Google Scholar
  3. 3.
    Lück, S., Peinke, J., Friedrich, R.: The Markov-Einstein coherence length—a new meaning for the Taylor length in turbulence. Phys. Lett. A (2006), doi:10.1016/j.physleta.2006.06.053Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Michel Voßkuhle
    • 1
  • Oliver Kamps
  • Michael Wilczek
  • Rudolf Friedrich
  1. 1.Institute for Theoretical PhysicsWestfälische Wilhelms-Universität MünsterMünsterGermany

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