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A New Very Large Eddy Simulation Model for Simulation of Turbulent Flow

  • Xingsi HanEmail author
  • Siniša Krajnović
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 117)

Abstract

Among various hybrid RANS/LES methodologies, Speziale’s Very Large Eddy Simulation (VLES) is one that was early proposed and is a unified simulation approach that can change seamlessly from RANS to DNS depending on the numerical resolution. The present study proposes a new improved variant of the original VLES model. The advantages are achieved in two ways: (1) RANS simulation can be recovered near the wall which is similar to the Detached Eddy Simulation (DES) concept; (2) An LES subgrid scale model can be reached by the introduction of a third length scale, i.e. integral turbulence length scale. Thus the new model can provide a proper LES mode between the RANS and DNS limits. This new methodology is implemented in the standard k − ε model and Wilcox’s k − ω model. Applications are conducted for the turbulent channel flow at Re τ  = 395 and turbulent flow past a square cylinder at Re = 22000. Results are compared with previous studies. It is demonstrated that the new method is quite effective in resolving the large flow structures, and can give satisfactory predictions on a very coarse mesh.

Keywords

Large Eddy Simulation Flow Turbulence Combust Coarse Mesh Mesh Resolution Turbulent Channel Flow 
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.

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References

  1. 1.
    Batten, P., Goldberg, U., Chakravarthy, S.: Interfacing statistical turbulence closures with large eddy simulation. AIAA J. 42, 485–492 (2004)CrossRefGoogle Scholar
  2. 2.
    Barone, M.F., Roy, C.J.: Evaluation of Detached Eddy Simulation for turbulent wake applications. AIAA J. 44, 3062–3071 (2006)CrossRefGoogle Scholar
  3. 3.
    Durao, D.F.G., Heitor, M.V., Pereira, J.C.F.: Measurements of turbulent and periodic flows around a square cross section cylinder. Exp. Fluids 6, 298–304 (1988)CrossRefGoogle Scholar
  4. 4.
    Fasel, H.F., Seidel, J., Wernz, S.: A methodology for simulations of complex turbulent flows. J. Fluids Eng. 124, 933–942 (2002)CrossRefGoogle Scholar
  5. 5.
    Hsieh, K.J., Lien, F.S., Yee, E.: Towards a uniformed turbulence simulation approach for wall bounded flows. Flow Turbulence Combust 84, 193–218 (2010)zbMATHCrossRefGoogle Scholar
  6. 6.
    Israel, D.M.: A new approach for turbulent simulations in complex geometries. Ph.D. thesis, University of Arizona (2005)Google Scholar
  7. 7.
    Johansen, S.T., Wu, J.Y., Shyy, W.: Filter-based unsteady RANS computations. Int. J. Heat Fluid Flow 25, 10–21 (2004)CrossRefGoogle Scholar
  8. 8.
    Langhe, C., De, M.B., Dick, E.: Hybrid RANS/LES modelling with an approximate renormalization group. I: model development. J. Turbulence 6, 1–18 (2005)CrossRefGoogle Scholar
  9. 9.
    Liu, N.S., Shih, T.H.: Turbulence modeling for very large eddy simulation. AIAA J. 44, 687–697 (2006)CrossRefGoogle Scholar
  10. 10.
    Luo, S.C., Yazdani, M.G., Chew, Y.T., et al.: Effects of incidence and afterbody shape on flow past bluff cylinders. J. Wind Eng. Ind. Aerodyn. 53, 375–399 (1994)CrossRefGoogle Scholar
  11. 11.
    Lyn, D.A., Einav, S., Rodi, W., et al.: A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder. J. Fluid Mech. 304, 285–319 (1995)CrossRefGoogle Scholar
  12. 12.
    Magnient, J.C., Sagaut, P., Deville, M.: A study of built-in filter for some eddy viscosity models in large eddy simulation. Phys. Fluids 13, 1440–1449 (2001)CrossRefGoogle Scholar
  13. 13.
    Moser, R.D., Kim, J., Mansour, N.N.: Direct numerical simulation of turbulent channel flow up to Re τ = 590. Phys. Fluids 11, 943–945 (1999)zbMATHCrossRefGoogle Scholar
  14. 14.
    Nicoud, F., Ducros, F.: Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turbulence and Combustion 62, 183–200 (1999)zbMATHCrossRefGoogle Scholar
  15. 15.
    Peltier, L.J., Zajaczkowski, F.J.: Maintenance of the near-wall cycle of turbulence for hybrid RANS/LES of fully-developed channel flow. In: 3rd AFOSR International Conference on Direct Numerical Simulation and Large-Eddy Simulation. Kluwer Academic (2001)Google Scholar
  16. 16.
    Sagaut, P., Deck, S., Terracol, M.: Multiscale and multiresolution approaches in turbulence. Imperial College Press, London (2006)zbMATHCrossRefGoogle Scholar
  17. 17.
    Sohankar, A., Davidson, L.: Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models. J. Fluids Eng. 122, 39–47 (2000)CrossRefGoogle Scholar
  18. 18.
    Speziale, C.G.: Turbulence modeling for time-dependent RANS and VLES: a review. AIAA J. 36, 173–184 (1998)zbMATHCrossRefGoogle Scholar
  19. 19.
    Wilcox, D.C.: Turbulence modeling for CFD, 2nd edn. DCW Industries, Inc. (2004)Google Scholar
  20. 20.
    Zhang, H.L., Bachman, C.R., Fasel, H.F.: Application of a new methodology for simulations of complex turbulent flows. AIAA-2000-2535 (2000)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Division of Fluid Dynamics, Department of Applied MechanicsChalmers University of TechnologyGothenburgSweden

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