Fine Scale Eddy Cluster and Energy Cascade in Homogeneous Isotropic Turbulence

  • Mamoru Tanahashi
  • Kuniharu Fujibayashi
  • Toshio Miyauchi
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 4)

Abstract

To investigate statistics of the cluster of coherent fine scale eddies and its relation to energy cascade, direct numerical simulation data of homogeneous isotropic turbulence up to Reλ = 287.6 have been analyzed. The cluster of the strong coherent fine scale eddies, which is of the order of the integral length, tends to exist in the region with high strain rate of large scales. Energy transfer from large scales to small scales is also high in the cluster regions. The clusters are composed of the small eddies (<20η), while the large scale eddies (>80η) are distributed outside of the cluster. The high strain rate regions due to different scales in the inertial subrange do not coincide except for the cluster regions. The importance of these structures in SGS stress models of large eddy simulation is discussed.

Keywords

turbulence fine scale structure energy cascade direct numerical simulation SGS model 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Jiménez J, Wray AA, Saffman PG, Rogallo RS (1993) J Fluid Mech 255:65-90MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Tanahashi M, Miyauchi T, Ikeda J. (1999) Identification of Coherent Fine Scale Structure in Turbulence. In: Simulation and Identification of Organized Struc‐ tures in Flows. Kluwer Academic Publishers 131-140Google Scholar
  3. 3.
    Tanahashi M, Iwase S, Miyauchi T. (2001) J Turbul 2:6CrossRefMathSciNetGoogle Scholar
  4. 4.
    Tanahashi M, Kang SJ, Miyamoto T, Shiokawa S, Miyauchi T (2004) Int J Heat and Fluid Flow 25:331-340CrossRefGoogle Scholar
  5. 5.
    Del Á lamo JC, Jimenez J, Zandonade P, Moser RD (2006) J Fluid Mech 561:329-358CrossRefGoogle Scholar
  6. 6.
    Tanahashi M, Tsukamoto S, Iwase S, Miyauchi T. (2002) Coherent Fine Scale Eddies and Energy Cascade in Homogeneous Isotropic Turbulence, In: Proc. Int. Symp. Dynamics and Statistics of Coherent Structures in Turbulence: Roles in Elementary Vortices, ed. Kida S, 259-268Google Scholar
  7. 7.
    Germano M, Piomelli U, Moin P, Cabot WH (1991) Phys Fluids A3:1760-1765Google Scholar
  8. 8.
    Lilly DK. (1992) Phys Fluids A4: 633-635Google Scholar

Copyright information

© Springer 2008

Authors and Affiliations

  • Mamoru Tanahashi
    • 1
  • Kuniharu Fujibayashi
    • 1
  • Toshio Miyauchi
    • 1
  1. 1.Department of Mechanical and Aerospace EngineeringTokyo Institute of TechnologyTokyoJapan

Personalised recommendations