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On the Decay of Isotropic Turbulence

  • P. A. Davidson
  • Y. Kaneda
  • T. Ishida
Conference paper
  • 746 Downloads
Part of the Springer Proceedings in Physics book series (SPPHY, volume 109)

Abstract

We investigate the decay of freely-evolving, isotropic turbulence whose spectrum takes the form E(k→0)∼Ik4, I being Loitsyansky's integral. We report numerical simulations in a periodic domain whose dimensions, lbox, are much larger than the integral scale of the turbulence, l. We find that, provided lbox≫l and Re≫1, the turbulence evolves to a state in which Loitsyansky's integral is approximately constant and Kolmogorov's decay law, u2∼t−10/7, holds true. The approximate conservation of I in fully-developed turbulence implies that the long-range interactions between remote eddies, as measured by the triple correlations, are very weak.

Keywords

Direct Numerical Simulation Integral Scale Isotropic Turbulence Traditional Theory Periodic Domain 
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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • P. A. Davidson
    • 1
  • Y. Kaneda
    • 2
  • T. Ishida
    • 3
  1. 1.Dept. EngineeringUniversity of CambridgeCambridgeUK
  2. 2.Dept. Computational Science & EngineeringNagoya UniversityNagoyaJapan
  3. 3.Dept. Computational Science & EngineeringNagoya UniversityNagoyaJapan

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