Testing of mixing models for Monte Carlo probability density function simulations

• Published in: Physics of fluids (1994) 2005-04, Vol.17 (4), p.047101-047101-15
• Main Authors: Mitarai, S., Riley, J. J., Kosály, G.
• Format: Article
• Language: English
• Subjects: Applied sciences; Combustion. Flame; Energy; Energy. Thermal use of fuels; Exact sciences and technology; Theoretical studies; Theoretical studies. Data and constants. Metering
• ISSN: 1070-6631; 1089-7666
• DOI: 10.1063/1.1863319

Testing of mixing models widely used for Monte Carlo probability density function simulations of turbulent diffusion flames is performed using the data obtained from direct numerical simulations (DNS) that are specifically designed for the study of local flame extinction and reignition. In particular, the interaction by exchange with the mean (IEM) [J. Villermaux and J. C. Devillon, “Représentation de la coalescence et de la redispersion des domaines de ségrégation dans un fluide per modéle d’interaction phénoménologique,” in Proceedings of the Second International Symposia on Chemical Reaction Engineering (ISCRE, Netherlands, 1972), p. B1 ], the modified Curl [J. Janicka, W. Kolbe, and W. Kollmann, J. Non-Equilib. Thermodyn. 4, 47 (1979)], and the Euclidean minimum spanning tree (EMST) [S. Subramaniam and S. B. Pope, Combust. Flame 115, 487 (1998)] mixing models are tested. The tests are designed to examine the mixing model performance when implemented in both Reynolds-averaged simulations and large-eddy simulations. The exact value of the mixing frequency is taken from the DNS, so that the model performance can be more accurately determined. It is found that, in general, the EMST mixing model yields much better results than the IEM and the modified Curl mixing models.