Calculations of premixed turbulent flames by PDF methods

Idealized premixed turbulent flames are studied using probability density function (pdf) methods. A modeled transport equation for the joint pdf of velocity and the reaction progress variable is solved by a Monte Carlo method. Detailed calculations of flame properties and flow statistics, including the flame speed, the scalar flux, the turbulence intensities, the kinetic energy budget and conditional statistics are presented for different density ratios. Results are compared with the limited available experimental data and the calculations based on the Bray-Moss-Libby (BML) model. Compared to the BML model, the present pdf approach has several advantages: fewer processes have to be modeled, more information can be extracted from the solution, and the method is directly applicable to multidimensional flames.