Skip to main content

Study on the Resolution Requirements for DNS in Turbulent Rayleigh-Bénard Convection

  • Conference paper
Turbulence and Interactions

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 110))

Abstract

In fundamentel research the geometrically simple Rayleigh-Bénard experiment is often chosen to investigate the turbulent heat exchange between a thermally driven fluid and a hot bottom and a cold top wall, respectively.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Amati, G., Koal, K., Massaioli, F., Sreenivasan, K.R., Verziccio, R.: Turbulent thermal convection at high Rayleigh numbers for a Boussinesq fluid of constant Prandtl number. Phys. Fluids 17(121701) (2005)

    Google Scholar 

  2. Chorin, A.J.: Numerical solution of the Navier-Stokes equations. Mathematics of Computations 22, 745–762 (1968)

    MATH  MathSciNet  Google Scholar 

  3. Emran, M.S., Schumacher, J.: Fine-scale statistics of the temperature derivatives in convective turbulence. J. Fluid Mech. 611, 13–34 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  4. Grötzbach, G.: Spatial resolution requirements for direct numerical simulation of Rayleigh-Bénard convection. J. Comp. Phys. 49, 241–264 (1983)

    Article  MATH  Google Scholar 

  5. Kaczorowski, M., Wagner, C.: Analysis of the thermal plumes in turbulent Rayleigh-Bénard convection based on well-resolved numerical simulations. J. Fluid Mech. 618, 89–112 (2009)

    Article  MATH  Google Scholar 

  6. Kerr, R.M.: Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31–58 (1985)

    Article  MATH  Google Scholar 

  7. Schumann, U., Grötzbach, G., Kleiser, L.: Direct numerical simulations of turbulence. In: Prediction methods for turbulent flows. VKI-lecture series 1979, vol. 2. Von Kármán Institute for Fluid Dynamics, Brussels (1979)

    Google Scholar 

  8. Shishkina, O., Wagner, C.: Boundary and interior layers in turbulent thermal convection in cylindrical containers. Int. J. Sci. Comp. Math. 1(2/3/4), 360–373 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  9. Shishkina, O., Wagner, C.: Analysis of sheet-like thermal plumes in turbulent Rayleigh–Bénard convection. J. Fluid Mech. 599, 383–404 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  10. Verzicco, R., Sreenivasan, K.R.: A comparison of turbulent thermal convection between conditions of constant temperature and constant heat flux. J. Fluid Mech. 595, 203–219 (2008)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kaczorowski, M., Wagner, C. (2010). Study on the Resolution Requirements for DNS in Turbulent Rayleigh-Bénard Convection. In: Deville, M., Lê, TH., Sagaut, P. (eds) Turbulence and Interactions. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14139-3_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14139-3_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14138-6

  • Online ISBN: 978-3-642-14139-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics