Abstract: Based on Smoothed Particle Hydrodynamics （SPH） method， the research of SPH new algorithm in the field of evaporation and combustion is carried out. The evaporation numerical model suitable for SPH method is established， and the SPH discrete equation based on Fourier heat conduction formula and Fick’s diffusion law is deduced. Inspired by VOF （Volume of Fluid） method， the liquid phase mass fraction of SPH particles is introduced to effectively characterize the phase transition problem in evaporation process. The results of the simulation of the evaporation process of a single droplet in a high temperature environment by using the SPH method are in accordance with the D2 law and the theoretical model. In the forced convection environment， the evaporation process of the droplet is affected by convection and surface tension， and the evaporation rate is accelerated. By the further numerical study on the evaporation process of double droplets in static and convective environments， the results show that the droplet spacing and droplet diameter are important for the evaporation process of multiple droplets. Only when the droplet spacing is at least twice the droplet diameter， the mutual influence can be neglected. Through the research in this paper， the application range of SPH method in the field of evaporation phase transformation is broadened， and the research results can also lay a foundation for further combustion research.