Subgrid-Scale Model of Scalar Mixing for Large Eddy Simulations of Turbulent Flows

  • Fabrice Mathey
  • Jean Pierre Chollet
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 5)


Results are presented for numerical simulations of passive scalar mixing in homogeneous and sheared turbulent flows. These results are generated with the Linear Eddy Model (LEM). The discussion is based on the subgrid-scale statistics and it is shown that the LEM model reproduces correctly the structure of the scalar field in the case of high Reynolds numbers when all the relevant length scales are represented. Thanks to the results obtained, a simpler closure model for the subgrid scalar fluctuations is presented.


Scalar Field Large Eddy Simulation Mixture Fraction Passive Scalar Homogeneous Turbulence 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Broadwell, J.E., Breidenthal, R.E. 1982 A simple model of mixing and chemical reaction in a turbulent shear layer, J.Fluid Mech. 125, 1982, 397–410.ADSCrossRefGoogle Scholar
  2. Calhoon, H., Menon, S. 1996 Subgrid Modeling for Reacting Large Eddy Simulations, AIAA paper 96-0516, 34th Aerospace Sciences Meeting, Reno.Google Scholar
  3. Colella, P., Woodward, P.R. 1984 The piecewise parabolic method for gas-dynamical simulations, J. Cornp. Phys. 54, 174–201.ADSzbMATHMathSciNetGoogle Scholar
  4. Cook, A.W., Riley, J.J. 1994 A subgrid model for equilibrium chemistry in turbulent flows, Phys. Fluids 6(8), 2868–2870.ADSCrossRefGoogle Scholar
  5. Ducros, F., Comte, P., Lesieur, M. 1996 Large-eddy simulation of transition to turbulence in a boundary layer developing spatially over a flat plate, J. Fluid Mech. 326, 1–36.ADSCrossRefzbMATHGoogle Scholar
  6. Eswaran, V., Pope, S.B. 1988 Direct numerical simulations of the turbulent mixing of a passive scalar, Phys. Fluids 31(3), 506–520.ADSCrossRefGoogle Scholar
  7. Gao, F., O’Brien, E.E. 1993 A large-eddy simulation scheme for turbulent reacting flows, Phys. Fluids A 5, 1282–1284.ADSCrossRefzbMATHGoogle Scholar
  8. Gathmann, R.J. 1993 Analyse d’écoulements supersoniques et réactifs par simulation numérique instationnaire tridimensionnelle, Thèse de l’Universite Joseph-Fourier — Laboratoire des Ecoulements Géophysiques et Industriels.Google Scholar
  9. Germano, M., Piomelli, U., Moin, P., Cabot, W.H. 1991 A dynamic subgrid-scale eddy viscosity model, Phys. Fluids A3, 1760–1765.Google Scholar
  10. Jaberi, F.A., Miller, R.S., Madnia, C.K., Givi, P. 1996 Non-Gaussian scalar statistics in homogeneous turbulence, J. Fluid Mech. 313, 241–282.ADSCrossRefzbMATHMathSciNetGoogle Scholar
  11. Kerstein, A.R. 1998 Linear-Eddy Model of Turbulent Scalar Transport and Mixing, Comb.Sci Tech. 60, 391–421.CrossRefGoogle Scholar
  12. Menon, S., MacMurtry, A., Kerstein, A.R. 1993 A Linear Eddy Mixing Model for Large Eddy Simulation of Turbulent Combustion, in Large Eddy Simulations of Complex Engineering and Geophysical Flows, pp.287–314, B. Galperin, S. Orsag, eds. Cambridge University Press.Google Scholar
  13. Moin, P., Squires, K., Cabot, W., Lee, S. 1991 A dynamic subgrid-scale model for compressible turbulence and scalar transport, Phys. Fluids A 3, 2746–2757.ADSCrossRefzbMATHGoogle Scholar
  14. Mungal, M.G., Hermanson, J.C., Dimotakis, P.E. 1985 Reynolds Number effects on Mixing and Combustion in a Reacting Shear Layer, AIAA journal 23(9), 1418–1423.ADSCrossRefGoogle Scholar
  15. MacMurtry, P.A., Gansauge, T.C., Kerstein, A.R. Krueger, S.K. 1993 Linear eddy simulation of mixing in a homogeneous turbulent flow, Phys. Fluids A 5(4), 1023–1034.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Fabrice Mathey
    • 1
  • Jean Pierre Chollet
    • 1
  1. 1.Laboratoire des Ecoulements Géophysiques et IndustrielsUniv. J. Fourier, INPG, CNRSFrance

Personalised recommendations