Simulation of flame surface density and burning rate of a premixed turbulent flame using contour advection

In this paper, a 2-dimensional rod-stabilized V-shaped flame is simulated using contour advection with surgery as well as the random vortex method. Effects of turbulence on various quantities, such as flame brush thickness and flame surface density, are investigated. The flame surface density Σ   is estimated using the Bray–Moss–Libby formulation, which involves the use of a mean orientation factor σcσc. As a comparison, values of Σ are also obtained using Shepherd's model, which employs the values of mean flame surface area and mean flame length. Local flame structure is characterized in terms of turbulent flame brush, orientation factor, and flame surface density. Profiles of Σ obtained using the two different models are compared and show that discrepancy is more evident with increasing turbulence intensity.