Modelling of unclosed nonlinear terms in a PDF closure for turbulent flames

Mathematical and Computer Modelling

Volumn 24, Issue 8, 1996, Pages 137-147

  Hulek T ^a   Lindstedt, R P ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Flamelets; Probability density function; Turbulent combustion

Indexed keywords

EID: 0030267424     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00146-X     Document Type: Article

References (19)

1. 1. W.P. Jones and B.E. Launder, The prediction of laminarization with a two-equation model of turbulence, International Journal of Heat and Mass Transfer 15, 301-314 (1972).
2. 2. K.N.C. Bray, P.A. Libby, G. Masuya and J.B. Moss, Turbulence production in premixed turbulent flames, Combustion Science and Technology 25 (3/4), 127-140 (1981).
3. 3. G.R. Grimmett and D.R. Stirzaker, Probability and Random Processes, Second edition, Clarendon Press, Oxford, (1992).
4. 4. S.B. Pope, PDF methods for turbulent reactive flows, Progress in Energy and Combustion Science 11, 119-192 (1985).
5. 5. W. Kollmann, The pdf approach to turbulent flow, Theoretical and Computational Fluid Dynamics 1, 249-285 (1990).
6. 6. C. Dopazo, Recent developments in pdf methods, Turbulent Reacting Flows, (Edited by P.A. Libby and F.A. Williams), pp. 375-474, Springer-Verlag, (1994).
7. 7. L. Valiño and C. Dopazo, A binomial Langevin model for turbulent mixing, Physics of Fluids A 3 (12), 3034-3037 (1991).
8. 8. T. Hůlek and R.P. Lindstedt, Stochastic mixing models for inert scalars in homogeneous isotropic turbulence, Technical Report TF/94/01, Mechanical Engineering Department, Imperial College of Science, Technology and Medicine, London, (1994).
9. 9. D.C. Haworth and S.B. Pope, A generalized Langevin model for turbulent flows, Physics of Fluids A 29 (2), 387-405 (1986).
10. 10. D.C. Haworth and S.B. Pope, A pdf modeling study of self-similar turbulent free shear flows, Physics of Fluids A 30 (4), 1026-1044 (1987).
11. 11. S.B. Pope, On the relationship between stochastic Lagrangian models of turbulence and second-moment closures, Physics of Fluids 6 (2), 973-985 (1994).
12. 12. N. Peters, Length scales in laminar and turbulent flames, In Numerical Approaches to Combustion Modeling, Volume 135 of "Progress in Astronautics and Aeronautics," (Edited by E.S. Oran and J.P. Boris), pp. 155-182, Academic Press, New York, (1991).
13. 13. R.S. Cant, S.B. Pope and K.N.C. Bray, Modelling of flamelet surface-to-volume ratio in turbulent premixed combustion, In Twenty-Third Symposium (International) on Combustion, pp. 809-815, The Combustion Institute, (1990).
14. 14. S.B. Pope and W.K. Cheng, The stochastic flamelet model of turbulent premixed combustion, In Twenty-Second Symposium (International) on Combustion, pp. 781-789, The Combustion Institute, (1988).
15. 15. C.J. Rutland and R.S. Cant, Turbulent transport in premixed flames, In Proceedings of the Summer Program, Stanford, 1994, Center for Turbulence Research.
16. 16. T. Hůlek and R.P. Lindstedt, Computations of steady-state and transient premixed turbulent flames using pdf methods, Combustion and Flame 104, 481-504 (1996).
17. 17. M.S. Anand and S.B. Pope, Calculation of premixed turbulent flames by PDF methods, Combustion and Flame 67 (2), 128-142 (1987).
18. 18. R. Borghi, On the structure of turbulent premixed flames, In Recent Advances in Aeronautical Science, (Edited by C. Bruno and C. Caseci), Pergamon, (1984).
19. 19. L. Vervisch, W. Kollmann and K.N.C. Bray, Pdf modeling for premixed turbulent combustion based on the properties of iso-concentration surfaces, In Proceedings of the Summer Program, Stanford, 1994, Center for Turbulence Research.