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Application of the Unified Turbulent Flame-Speed Closure (UTFC) Combustion Model to Numerical Computation of Turbulent Gas Flames

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The current work presents the numerical computation of turbulent reactive flow by means of three different classes of flame: a premixed, a non-premixed and a partially premixed flame. The aim thereby is to validate the unified turbulent flame-speed closure (UTFC) combustion model developed at our institute. It is based on the presumption that the entire turbulent flame can be viewed as a collection of laminar premixed reaction zones (flamelets) with different mixing ratios. The mixing process is controlled by the mixture fraction ξ and the subsequent chemical reaction by the progress variable θ. The turbulent flame speed S t is used to describe the flame/turbulence interaction as well as the finite rate reaction. Complex chemistry is included and the pressure dependency (elevated pressure) of the combustion process is included in the model as well. The applicability of the model is explored by means of RANS (Reynolds averaged Navier-Stokes approach) and LES (large eddy simulation) methodologies at a wide range of Damköhler number Da. The results of all simulations show reasonable good agreement with the experiments.


  • Flame Front
  • Mixture Fraction
  • Premix Flame
  • Combustion Model
  • Turbulent Flame

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  • DOI: 10.1007/978-3-642-33374-3_16
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  1. N. Peters. Turbulent Combustion, Cambridge University Press, Cambridge (2000).

    CrossRef  MATH  Google Scholar 

  2. F. Zhang, P. Habisreuther, M. Hettel, and H. Bockhorn. Modelling of a Premixed Swirl-stabilized Flame Using a Turbulent Flame Speed Closure Model in LES. Flow, Turbulence and Combustion 82, 537–551, 2009.

    CrossRef  MATH  Google Scholar 

  3. H. Schmid, P. Habisreuther, and W. Leuckel. A model for calculating heat release in premixed turbulent flames. Combust. and Flame 113, 79–91, 1998.

    CrossRef  Google Scholar 

  4. F. Zhang, P. Habisreuther, M. Hettel and H. Bockhorn. Application of a Unified TFC Model to Numerical Simulation of a Turbulent Non-Premixed Flame. Proceedings of the 8th International ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements - ETMM8, vol.2, 681–686, 2010.

    Google Scholar 

  5. OpenCFD Ltd (2011): OpenFOAM User Guide, Version 2.0.1.

    Google Scholar 

  6. M. Zajadatz, M. Hettel and W. Leuckel. Burning Velocity of High-Turbulence Natural Gas Flames for Gas Turbine Application. Prodeedings of the International Gas Research Conference, 8.-11.11.98, San Diego, CA, 793–803, 1998.

    Google Scholar 

  7. R. Cabra, J. Chen, R. Dibble, A. Karpetis, and R. Barlow. Lifted methane air jet flames in a vitiated coflow. Combustion and Flame 143, 491–506, 2005.

    CrossRef  Google Scholar 

  8. R. Barlow, (ed.). Proceedings of the TNF Workshops, Sandia National Laboratories, Livermore, CA, available at, 1996–2004.

  9. J. Smagorinsky. General circulation experiments with the primitive equations, I, The basic experiment, Mon. Weather Rev. 91, 99–164, 1963.

    CrossRef  Google Scholar 

  10. D. Wilcox. Turbulence Modelling for CFD, DCW Industries, California, USA (1994).

    Google Scholar 

  11. M. Klein, A. Sadiki and J. Janicka. A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations. Journal of Computational Physics 286, 652–665, 2003.

    CrossRef  Google Scholar 

  12. T. Poinsot and S. Lele. Boundary conditions for direct simulation of compressible viscous flows, J. Comput. Phys. 101, 104–129, 1992.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany, Rechenzentrum. HP XC4000 User Guide, 2009.

    Google Scholar 

  14. J. Kee, F. Rupley and J. Miller. Chemkin-II: A Fortran chemical kinetics package for the analysis of gas-phase chemical kinetics, Report No. SAND89-8009B, Sandia National Laboratories, 1989.

    Google Scholar 

  15. G. P. Smith, D. M. Golden, M. Frenklach, N. W. Moriarty, B. Eiteneer, M. Goldenberg, C. T. Bowman, R. K. Hanson, S. Song, W. C. Gardiner, Jr., V. V. Lissianski, and Z. Qin.

  16. U. Maas, and S. Pope. Simplifying chemical kinetics: intrinsic low-dimensional manifolds in composition space. Combustion and Flame, 88, 239–264, 1992.

    CrossRef  Google Scholar 

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The authors gratefully acknowledge the financial support by the German Research Council (DFG) through the Research Unit DFG-BO693 “Combustion Noise”. Major part of the computation time was kindly provided by the Steinbuch Centre for Computing (SCC) of the Karlsruhe Institute of Technology.

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Correspondence to Feichi Zhang .

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Zhang, F., Habisreuther, P., Bockhorn, H. (2013). Application of the Unified Turbulent Flame-Speed Closure (UTFC) Combustion Model to Numerical Computation of Turbulent Gas Flames. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘12. Springer, Berlin, Heidelberg.

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