Skip to main content

Analysis of Uniform and Adaptive LES in Natural Convection Flow

  • Chapter
Quality and Reliability of Large-Eddy Simulations

Part of the book series: Ercoftac Series ((ERCO,volume 12))

Abstract

After an introduction to the underlying problem, the governing equations and discretisation schemes, we present in the first part of this contribution the calculation of the model and discretisation error in a turbulent natural convection flow in a tall cavity. It is based on uniform grid refinement and explicit values are given for the error components. In the second part we apply for the same problem local grid adaptation using four different a posteriori error indicators. The computational results are compared with experiments and it is shown, that adaptively refined grids with considerably less elements deliver comparable results gained on finer uniformly refined grids.

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 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. Betts PL, Bokhari IH (2000) Int J Heat Fluid Flow 21:675–683

    Article  Google Scholar 

  2. Dorfman ASh (1984) J Appl Mech Tech Phys 25(4):572–575

    Article  ADS  Google Scholar 

  3. Schneider GE, Raw MJ (1987) Numer Heat Trans 11:363–390

    Article  ADS  MATH  Google Scholar 

  4. Bastian P, Birken K, Johannsen K, Lang S, Eckstein K, Neuss N, Rentz-Reichert H, Wieners C (1997) Comput Visual Sci 1:27–40

    Article  MATH  Google Scholar 

  5. Rentz-Reichert H (1996) Robuste Mehrgitterverfahren zur Lösung der inkompressiblen Navier–Stokes Gleichung: ein Vergleich. PhD Thesis, IWR, Universität Heidelberg

    Google Scholar 

  6. Nägele S (2004) Mehrgitterverfahren für die inkompressiblen Navier–Stokes Gleichungen im laminaren und turbulenten Regime unter Berücksichtigung verschiedener Stabilisierungsmethoden. PhD Thesis, IWR, Universität Heidelberg

    Google Scholar 

  7. Glowinski R, Periaux J (1987) Supercomputing. State-of-the-Art 381-479

    Google Scholar 

  8. Dennis JE, More JJ (1977) SIAM Review 19:46–89

    Article  MathSciNet  MATH  Google Scholar 

  9. Geurts BJ (2004) Elements of direct and large-eddy simulation. Edwards, Fourtown

    Google Scholar 

  10. Goldstein DE, Vasilyev OV, Kevlahan NKR (2004) Proceedings of the Summer Program, Center of Turbulence Research

    Google Scholar 

  11. Hoffman J (2004) SIAM J Sci Comput 26(1):178–195

    Article  MathSciNet  MATH  Google Scholar 

  12. Verfürth R (1996) A review of a posteriori error estimation and adaptive mesh refinement techniques. Teubner-Wiley, Stuttgart

    MATH  Google Scholar 

  13. Bey J (1998) Finite-Volumen- und Mehrgitter-Verfahren für elliptische Randwertprobleme. Teubner, Stuttgart

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Hauser, A., Wittum, G. (2008). Analysis of Uniform and Adaptive LES in Natural Convection Flow. In: Meyers, J., Geurts, B.J., Sagaut, P. (eds) Quality and Reliability of Large-Eddy Simulations. Ercoftac Series, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8578-9_9

Download citation

Publish with us

Policies and ethics