Unstructured Moving-Grid Finite-Volume Method is suitable for moving boundary problems. In this paper, simulation of flows around bodies with large deformation using this method is presented. The simulation is flow around bodies which are united into a single body or separated into another multiple bodies. It is necessary appearing cells and cells during solving the flow. A control volume for discretization is considered in the space-time unified space, which assures both physical and geometrical conservation laws even if the grid system is moved as well as deformed with eliminating or merging cells. The unstructured moving-grid finite-volume method is described for two dimensional space in detail and validated using simple test problems. Applications to a two-bodies docking and separation in a supersonic flow show a promising feature of the method.
