Skip to main content
SpringerLink
Log in

Attempts at Computer-Aided Understanding of Turbulence

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

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

  • 1154 Accesses

Abstract

A review is presented on some attempts to understand turbulence by using high-performance computing (HPC). Among them is the study of turbulence by the direct numerical simulation (DNS) of incompressible turbulence in a periodic box with the number of grid points up to 40963. The DNS data shed some light on the Reynolds number (Re)-dependence of the statistics of turbulence at high Re and on the intermittency of energy dissipation. HPC is shown to be useful also for solving a multidimensional singular partial differential equation that determines the anomalous scaling of a passive scalar field advected by a random velocity field with an infinitely small correlation time.

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. Yokokawa M, Itakura K, Uno A, Ishihara T, Kaneda Y (2002) Proc IEEE/ACM SC2002 Conf, Baltimore; http://www.sc‐2002.org/paperpdfs/pap.pap273.pdf

  2. Kaneda Y, Ishihara T, Yokokawa M, Itakura K, Uno A (2003) Phys Fluids 15:L21-24

    Article  Google Scholar 

  3. Kaneda Y, Ishihara T (2006) J Turbul 7(20):1-17

    MathSciNet  Google Scholar 

  4. Kolmogorov AN (1941) Dokl Akad Nauk SSSR 30:301-305

    Google Scholar 

  5. Ishihara T, Kaneda Y, Yokokawa M, Itakura K, Uno A (2005) J Phys Soc Jpn 74:1467-1471

    Article  Google Scholar 

  6. Kaneda Y, Ishihara T (2007) Small‐scale statistics in high‐resolution direct numerical simulation of turbulence. In: Oberlack M, Khujadze G, Guenther S, Weller T, Frewer M, Peinke J, Barth S (eds) Progress in Turbulence II. Springer, Berlin Heidelberg New York

    Google Scholar 

  7. Obukhov AM (1962) J Fluid Mech 13:77-81

    Article  MathSciNet  Google Scholar 

  8. Kolmogorov AN (1962) J Fluid Mech 13:82-85

    Article  MATH  MathSciNet  Google Scholar 

  9. Meneveau C, Sreenivasan KR (1991) J Fluid Mech 224:429-484

    Article  MATH  Google Scholar 

  10. Frisch U (1995) Turbulence: the Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  11. Naert A, Friedrich R, Peinke J (1997) Phys Rev E 56:6719-6722

    Article  Google Scholar 

  12. Jiménez J (2001) Self‐similarity and coherence in the turbulent cascade. In: Kambe T, Nakano T, Miyauchi T (eds) Geometry and Statistics of Turbulence. Kluwer Academic Press

    Google Scholar 

  13. Corssin S (1959) Adv Geophys 6, Academic, New York:161-164

    Google Scholar 

  14. Kaneda Y, Morishita K (2007) J Phys Soc Jpn 76:073401-1‐4

    Article  Google Scholar 

  15. Kraichnan RH (1968) Phys Fluids 11:945-953

    Article  MATH  MathSciNet  Google Scholar 

  16. Gawedzki K, Kupiainen A (1995) Phys Rev Lett 75:3834-3837

    Article  Google Scholar 

  17. Gat O, Procaccia I, Zeitak R (1998) Phys Rev Lett 80:5536-5539

    Article  Google Scholar 

  18. Frisch U, Mazzino A, Noullez A, Vergassola M (1999) Phys Fluids 11:2178-2186

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University, Chikusa-ku, Nagoya, 464-8603, Japan

    Yukio Kaneda, Takashi Ishihara, Koji Morishita & Yoshinori Mizuno

Authors
  1. Yukio Kaneda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Takashi Ishihara
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Koji Morishita
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yoshinori Mizuno
    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

Kaneda, Y., Ishihara, T., Morishita, K., Mizuno, Y. (2008). Attempts at Computer-Aided Understanding of 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_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-6472-2_7

  • 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