Predictive simulation of engine combustion is key to understanding the underlying complicated physicochemical processes, improving engine performance, and reducing pollutant emissions. Critical issues as turbulence modeling, turbulence-chemistry interaction, and accommodation of detailed chemical kinetics in complex flows remain challenging and essential for highfidelity combustion simulation. This paper reviews the current status of the state-of-the-art large eddy simulation (LES)/probability density function (PDF)/detailed chemistry approach that can address the three challenging modelling issues. PDF as a subgrid model for LES is formulated and the hybrid mesh-particle method for LES/PDF simulations is described. Then the development need in micro-mixing models for the PDF simulations of turbulent premixed combustion is identified. Finally the different acceleration methods for detailed chemistry are reviewed and a combined strategy is proposed for further development.turbulence-chemistry interaction, detailed chemistry, probability density function, mixing models, large eddy simulations PACS number(s): 47.27.ep, 47.70.Fw, 47.70.Pq Citation: