Direct numerical simulation is employed to investigate the premixed jet flame of methane in lean, combined with a detailed chemical kinetics including 17 species and 58 elemental steps and distinct Lewis numbers. Cold methane-air mixture at 0.55 equivalence ratio is injected into the coflow area with 9500 Reynolds number. The coflow ambient gas is set to be the burnt gas of the methane-air mixture in main jet and temperature is assigned to be the corresponding adiabatic flame temperature 1515 K. The whole simulation process is run based on paralleled calculation method, and chemical sources are acquired by dynamically calling CHEMKIN library function. The flame structure at 6.98 ms is shown to demonstrate the obvious dependence of flame structure and reaction rate on vortices motion. Then by tracing the interaction between different flame elements and vortices, the mechanism behind this dependence is found. The concepts including surface density function, mean curvature and stretch rate are used to describe the geometrical structure of vortex-affected flame. Those are all calculated according to simulation result and statistically associated with heat release rate that indicates reaction intensity. The statistical results show that surface density function and reaction rate own direct positive correlation; largely wrinkled flames with greater curvatures magnitude tend to become thick and weaken surface density function and reaction rate, appearing local extinction phenomena; large tangential stretch rates exerted on flame usually produce a local thinning effect in normal making reaction rate intensified. The DNS presented will supply beneficial references to better understanding of flame-vortex interaction and development of more accurate general model for turbulent premixed combustion. direct numerical simulation, premixed flame, turbulence, geometrical structure Citation: Lv Y, Wang Z H, Pei H, et al. Topological analysis of methane lean premixed flame in turbulent jet flow by direct numerical simulation.Gas turbine and engine fuelled by natural gas and air mixture in lean equivalence ratio have been considered to be the most promising way to utilize natural gas efficiently and cleanly [1,2]. However, in industrial and practical operation conditions, this type of premixed combustion is universally companied with strong turbulence flow. Combustion in turbulent jet flow is more practical, since direct injecting way of inputting reactive mixture has been extensively employed.In the combustion region, the reaction front of the premixed flame is wrinkled, stretched and compressed by vortices motion, forming a very complicated flame topology. Geometrical modeling [3,4] of premixed combustion is an attempt to capture this topology. In this modeling strategy, flame front is described as a geometrical entity transported by vortices motion and interaction. Although it has been widely used in LES (Large Eddy Simulation) [5] of turbulence combustion, the challenge of how to associate local flame structure affected by vorti...