Lagrangian statistics of two–dimensional turbulence in a square container

  • B. KadochEmail author
  • W. J. T. Bos
  • K. Schneider
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 132)


Two-dimensional decaying turbulence is studied in a square domain to investigate the influence of solid boundaries on the Lagrangian dynamics. It was shown in [1] for a circular geometry, that the vorticity generation at the walls and subsequent detachment strongly influence the velocity increment and acceleration statistics. In the present work we assess the influence of the geometry by considering a square domain. The recirculation zones in the corners and the generation of a large-scale swirling flow [2, 3] could influence the statistics. Therefore we compare the Lagrangian statistics of decaying flows in a square and in a circular domain. The numerical set-up is described in [1, 4] and the Lagrangian statistics are averaged over 104 trajectories. The numerical resolution is N = 10242. The initial eddy turn over time is \(T_{e} = 1/\sqrt{2Z} = 0.12\) and the initial Reynolds number is \(Re = L\sqrt{E}/v = 3 \cdot 10^{4}\), where E is the initial kinetic energy and \(L = 2\pi \ast 10/11\) is the size of the square.


Recirculation Zone Circular Domain Velocity Increment Initial Kinetic Energy Circular Geometry 
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    B. Kadoch, W. J. T. Bos and K. Schneider; Extreme Lagrangian acceleration in confined turbulent flow. Phys. Rev. Lett., 100, 184503, 2008.CrossRefADSGoogle Scholar
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    H. J. H. Clercx, S. R. Maassen and G. J. F. van Heijst; Spontaneous Spin-Up during the Decay of 2D Turbulence in a Square Container with Rigid Boundaries. Phys. Rev. Lett., 80, 5129, 1998.CrossRefADSGoogle Scholar
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    K. Schneider, M. Farge; Decaying two-dimensional turbulence in a circular container. Phys. Rev. Lett. 95, 244502, 2005.CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.M2P2–UMR 6181 CNRS CMIAix-Marseille UniversitéMarseilleFrance
  2. 2.LMFA–UMR 5509 CNRSEcole Centrale de Lyon–Université Claude Bernard Lyon 1–INSA de LyonEcullyFrance

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