Skip to main content
SpringerLink
Log in

Multifractal PDF Analysis of Energy Dissipation Rates in Turbulence

  • Conference paper
IUTAM Symposium on Computational Physics and New Perspectives in Turbulence

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 4))

  • 1172 Accesses

Abstract

The multifractal PDF analysis, an ensemble theory for those systems containing intermittent phenomena, is applied to the analyses of observed PDFs for energy dissipation rates extracted from experiments conducted in a wind tunnel. The generalized dimension is extracted and analyzed as well.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arimitsu T, Arimitsu N (2000) Phys Rev E 61:3237-3240

    Article  Google Scholar 

  2. Arimitsu T, Arimitsu N (2001) Physica A 295:177-194

    Article  MATH  MathSciNet  Google Scholar 

  3. Arimitsu T, Arimitsu N (2005) J Phys: Conf Series 7:101-120

    Article  Google Scholar 

  4. Arimitsu T, Arimitsu N, Yoshida K, Mouri H (2006) Multifractal PDF analysis for intermittent systems. In: Riccardi C, Roman H (eds) Anomalous fluctuation phenomena in complex systems: Plasma physics, bio-science and econophysics (Special Review Book for Research Signpost), Transworld Research Network, Kerala, India, in press

    Google Scholar 

  5. Moiseev S, Tur A, Yanovskii V (1976) Sov Phys JETP 44:556-561

    Google Scholar 

  6. Frisch U, Parisi G (1985) On the singularity structure of fully developed tur- bulence. In: Ghil M, Benzi R, Parisi G (eds) Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics. North-Holland, New York

    Google Scholar 

  7. Meneveau C, Sreenivasan K (1987) Nucl Phys B (Proc. Suppl.) 2:49-76

    Article  Google Scholar 

  8. Richardson L (1922) Wheather Prediction by Numerical Process. Cambridge Univ Press, Cambridge

    Google Scholar 

  9. Aoyama T, Ishihara T, Kaneda Y, Yokokawa M, Itakura K, Uno A (2005) J Phys Soc Japan 74:3202-3212

    Article  MATH  Google Scholar 

  10. Kolmogorov A (1941) Dokl Akad Nauk SSSR 30:301-305; 31:538-540

    Google Scholar 

  11. Oboukhov A (1962) J Fluid Mech 13:77-81

    Article  MATH  MathSciNet  Google Scholar 

  12. Kolmogorov A (1962) J Fluid Mech 13:82-85

    Article  MATH  MathSciNet  Google Scholar 

  13. Yaglom A (1966) Sov Phys Dokl 11:26-29

    Google Scholar 

  14. Tsallis C (1999) Braz J Phys 29:1-35

    Article  Google Scholar 

  15. Rényi A (1961) Proc 4th Berkeley Symp Maths Stat Prob 1:547

    Google Scholar 

  16. Tsallis C (1988) J Stat Phys 52:479-487

    Article  MATH  MathSciNet  Google Scholar 

  17. Havrda J, Charvat F (1967) Kybernatica 3:30-35

    MATH  MathSciNet  Google Scholar 

  18. Mouri H, Hori A, Kawashima Y (2004) Phys Rev E 70:066305

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Grad Sch Pure and Applied Scis, Univ Tsukuba, Tsukuba, 305-8571, Japan

    Toshihico Arimitsu & Kyo Yoshida

  2. Grad Sch Environment and Information Scis, Yokohama Nat’l Univ, Hodogaya-ku, Yokohama, 240-8501, Japan

    Naoko Arimitsu

  3. Meteorological Research Institute, Tsukuba, 305-0052, Japan

    Hideaki Mouri

Authors
  1. Toshihico Arimitsu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Naoko Arimitsu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kyo Yoshida
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hideaki Mouri
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Nagoya University, Nagoya, Japan

    Yukio Kaneda

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer

About this paper

Cite this paper

Arimitsu, T., Arimitsu, N., Yoshida, K., Mouri, H. (2008). Multifractal PDF Analysis of Energy Dissipation Rates in Turbulence. In: Kaneda, Y. (eds) IUTAM Symposium on Computational Physics and New Perspectives in Turbulence. IUTAM Bookseries, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6472-2_18

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-6472-2_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6471-5

  • Online ISBN: 978-1-4020-6472-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation