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The single-film bubble has a special geometry with a certain amount of gas shrouded by a thin layer of liquid film under the surface tension force both on the inside and outside surfaces of the bubble.Based on the mesh-less moving particle semi-implicit (MPS) method,a single-film double-gas-liquid-interface surface tension (SDST) model is established for the single-film bubble,which characteristically has totally two gas-liquid interfaces on both sides of the film.Within this framework,the conventional surface free energy surface tension model is improved by using a higher order potential energy equation between particles,and the modification results in higher accuracy and better symmetr,properties.The complex interface movement in the oscillation process of the single-film bubble is numerically captured,as well as typical flow phenomena and deformation characteristics of the liquid film.In addition,the basic behaviors of the coalescence and connection process between two and even three single-film bubbles are studied,and the cases with bubbles of different sizes are also included.Furthermore,the classic plateau structure in the foam system is reproduced and numerically proved to be in the steady state for multi-bubble connections.