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Interface between fluids play a very important role in many physical process in a variety of domains. Most of these phenomena, like wave breaking and fluid structure interaction are threedimensional problems with large deformation of the interface. Developing a robust tool capable of simulating such an incompressible, time dependent two-phase flows is of interest in many computational fluid dynamics (CFD) researches. In this study, an interface capturing method is implemented to give the distribution of two phases by solving a volume fraction transport equation. Therefore, two phases can be treated as a single fluid with the variable physical properties. Also, a projection approach is selected to solve the Navier-Stokes equations for this especial fluid. Appropriate coupling of these two sub-problems is an important step to develop such a numerical finite volume solver which will be reviewed in this paper. Finally the methodology is validated using two and three dimensional test cases.

The objective of the present paper is to perform numerical simulations of a high-speed water jet impinging on rotating Pelton buckets using the finite volume particle method (FVPM), which combines attractive features of smoothed particle hydrodynamics (SPH) and conventional grid-based finite volume. The particles resolution is first validated by a convergence study. Then, the FVPM results are validated with available measurements and volume of fluid (VOF) simulations. It is shown that the pressure field in the buckets inner wall is in good agreement with the experimental and numerical data and the evolution of the flow pattern matches the high-speed visualization.

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