In the fields of engineering and science, numerical analysis plays an important rule. It is very difficult to numerically analyze fluid behavior in the engineering apparatus because it contains various kinds of phenomena such as complicated geometries, multiphase flow, free surface, phase change and turbulence. For the future CFD simulation, We adopt the advanced CFD techniques such as CIVA and C-CUP methods. In this paper, we have applied these methods to three-dimensional multiphase flow and we verified to simulate cubic cavity flow, sloshing problem and dam breaking problem.