| In this research, numerical simulations employ large eddy simulation (LES) with a dynamic model for sub-grid scale stress. With the assumption of fast chemistry, a progress variable c-equation is applied to describe the flame front propagation. An extended progress variable model and additional mixture fraction Z are combined to consider premixed combustion with non-uniform equivalence ratio. With low-Mach number approximation, the governing equations are solved by a projection-based fractional step method in two dimensions.;The numerical method is applied to simulate a slot Bunsen flame. Computed mean flame front is comparable to that of experiment and 3D computation using detailed chemical kinetics. The simulated results also well predict the flame height, the global turbulent flame speed, and flame surface density profiles.;Study on ignition and propagation of a turbulent premixed V-flame are carried out. The early shape of the flame after ignition is significantly affected by the velocity field formed close the flame holder. During the flame propagation, the vortices fade and move to the locations along flame front. The LES computed time-averaged velocity agrees well with experimental data.;Finally, buoyancy effects on methane/air turbulent premixed V-flames are investigated under various conditions. Computed LES results of buoyancy effects on flame angle and flame brush thickness are consistent with those obtained from experiments. In both +g and - g conditions, the effects of buoyancy become important with increasing Richardson number (Ri). Buoyancy force tends to close up the flame under +g, but has the opposite effect under - g. Buoyancy force also suppresses flame wrinkling in +g and enhances wrinkling in -g. The discrepancy induced by considering only the gravity force term in the governing equations is larger than by ignoring both the gravity force term and the buoyancy force term. The differences caused by buoyancy between ϕ = 0.7 and ϕ = 0.8 is not significant on flame angle, flame brush thickness and mean axial velocity. The computed axial velocity is shown to be significantly affected by buoyancy downstream from the flame holder. The buoyancy effects cannot be ignored when Ri ≥ 0.06. |