Advertisement

Formulation of Subgrid Stochastic Acceleration Model (SSAM) for LES of a High Reynolds Number Flow

  • V. Sabel’nikov
  • A. Chtab
  • M. Gorokhovski
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 97)

Abstract

In this paper, we proposed a new subgrid scale (SGS) model in large eddy simulation (LES) of a high Reynolds number turbulent flow. The traditional approaches are usually based on modeling of the non-resolved velocity field, and are customary invariant on the Reynolds number. When the Reynolds number is high, the flow at subgrid scales is intermittent and its structure is depending on the Reynolds number. To account for this, the new SGS model is focused on simulation of the non-resolved acceleration of fluid particle. With this model, an approximation of unfiltered velocity field is reconstructed by computation of the instantaneous model-equation introduced in the paper. The performed computation of a high Reynolds number stationary homogeneous turbulence reproduced qualitatively the effects of intermittency recently observed in experimental studies.

Keywords

Reynolds Number Large Eddy Simulation High Reynolds Number Fluid Particle Subgrid Scale 
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. Borgas, M.S., Sawford, B.L.: The small scale structure of acceleration correlations and its role in the statistical theory of turbulent dispersion. J. Fluid Mech. 228, 295 (1991)zbMATHGoogle Scholar
  2. Domaradzki, J.A., Adams, N.A.: Direct modelling of subgrid scales of turbulence in large eddy simulations. JOT 3, 24 (2002)Google Scholar
  3. Eswaran, V., Pope, S.B.: An examination of forcing in direct numerical simulations of turbulence. Computers and Fluids 16(3), 257–278 (1988)zbMATHCrossRefGoogle Scholar
  4. Goshal, S.: Mathematical and Physical Contraints on Large-Eddy Simulation of Turbulence. AIAA J. 3(4) (1999)Google Scholar
  5. La Porta, A., et al.: Fluid particle accelerations in fully developed turbulence. Nature 409, 1017–1019 (2001)CrossRefGoogle Scholar
  6. Lamorgese, A.G., et al.: A Conditionally Cubic-Gaussian Stochastic Lagrangian Model for Acceleration in Isotropic Turbulence, JFM (submitted, 2007) Google Scholar
  7. Monin, A.S., Yaglom, A.M.: Statistical fluid mechanics: Mechanics of turbulence, p. 900. MIT press, Cambridge (1981)Google Scholar
  8. Mordant, N., et al.: Measurement of Lagrangian velocity in fully developed turbulence. Phys. Rev. Lett. 21, 214501-1 (2001)Google Scholar
  9. Mordant, N., Leveque, E., Pinton, J.-F.: Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence. New Journal of Physics 6, 116 (2004)CrossRefGoogle Scholar
  10. Pope, S.B., Chen, Y.L.: The velocity-dissipation probability density function model for turbulent flows. Phys. Fluids A2, 1437–1449 (1990)Google Scholar
  11. Pope, S.B.: Turbulent Flows, Cambridge (2000)Google Scholar
  12. Pope, S.B.: A stochastic Lagrangian model for acceleration in turbulent flows. Physics of Fluids 14(7), 2360–2375 (2002)CrossRefMathSciNetGoogle Scholar
  13. Pope, S.B.: Ten questions concerning the large-eddy simulation of turbulent flows. New Journal of Physics 6(35) (2004)Google Scholar
  14. Sagault, P.: Large Eddy Simulation for Incompressible Flows. Springer, Heidelberg (2001)Google Scholar
  15. Sawford, B.L.: Reynolds number effects in Lagrangian stochastic models of turbulent dispersion. Physics of Fluids A3(6), 1577–1586 (1991)Google Scholar
  16. Voth, G.A., Satyanarayan, K., Bodenschatz, E.: Lagrangian acceleration measurements at large Reynolds numbers. Physics of Fluids 10, 2268 (1998)CrossRefGoogle Scholar
  17. Voth, G.A., et al.: Measurements of particle accelerations in fully developed turbulence. JFM 469, 121 (2002)zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • V. Sabel’nikov
    • 1
  • A. Chtab
    • 2
  • M. Gorokhovski
    • 3
  1. 1.DEFA/EFCA ONERAPalaiseauFrance
  2. 2.CORIA-UMR CNRS 6614France
  3. 3.LMFA UMR CNRS 5509ECLFrance

Personalised recommendations