Advertisement

Investigation of the Self-Consistency of the Smagorinsky Constant and the Value of the Rotta Parameter at High Reynolds Numbers

  • K. Alvelius
  • M. Hallbäck
  • A. V. Johansson
Conference paper
  • 325 Downloads
Part of the ERCOFTAC Series book series (ERCO, volume 5)

Abstract

The aim of the first part of this work is to investigate if the value of the Kolmogorov constant, ±, predicted by LES is consistent with the assumed value of ± that was used to specify the Smagorinsky constant, C s, in the LES, and to determine the appropriate value of C s for decaying homogeneous turbulence at high Reynolds numbers. In the second part LES of axisymmetric decaying turbulence is used to calibrate the Rotta parameter, C 1, in the Rotta model for the slow pressure-strain rate.

Keywords

High Reynolds Number Smagorinsky Model Homogeneous Turbulence Turbulence Reynolds Number Rapid Distortion Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hallbäck, M. Sjögren, T. and Johansson, A.V. 1993 ‘Modeling of intercomponent transfer in Reynolds stress closures of homogeneous turbulence.’. In Proc. of Turbulent Shear Flows IX, eds. Durst, Kasagi, Launder and Whitelaw, pp. 23.4.1–6.Google Scholar
  2. Lilly, D. K. 1967 ‘The representation of small-scale turbulence in numerical simulation experiments’, in Proceedings of the IBM Scientific Computing Symposium on Environmental Science, IBM Form No. 320-1951, p. 195.Google Scholar
  3. Rotta, J. 1951 ‘Statistische théorie nichthomogener turbulenz I’. Z. für Physik 129, pp. 547–572.Google Scholar
  4. Scotti, A. Meneveau, C. and Lilly, D. K. 1993 ‘Generalized Smagorinsky model for anisotropic grids’, Phys. Fluids A 5(9), pp. 2306–2308.ADSCrossRefzbMATHGoogle Scholar
  5. Sjögren, T. and Johansson, A.V. 1995 ‘Measurement and modelling of anisotropic dissipation and slow pressure-strain in homogeneous turbulence’. In Advances in Turbulence V, pp. 486–490, ed. Benzi, Kluwer.Google Scholar
  6. Smagorinsky, J 1963. ‘General circulation experiments with the primitive equations’. Mon. Weather Rev. 91, p. 99.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • K. Alvelius
    • 1
  • M. Hallbäck
    • 1
  • A. V. Johansson
    • 1
  1. 1.Department of MechanicsRoyal Institute of TechnologyStockholmSweden

Personalised recommendations