An incompressible smoothed particle hydrodynamics-finite volume method coupling algorithm for interface tracking of two-phase fluid flows

Two-phase flow involves complex interface evolution process such as the formation, development, pulsation, and rupture of phase interfaces. Numerical simulation is one of the important means to study two-phase flow. The tracking and reconstruction of phase interface is the focus of two-phase flow simulation. A two-phase flow simulation algorithm based on coupled incompressible smoothed particle hydrodynamics (ISPH) method and finite volume method (FVM) is developed in this article. In present ISPH-FVM coupling algorithm, one phase which has smaller volume is represented by SPH particles, while the other phase is defined on the FVM grids. The coupling of ISPH and FVM is achieved through the transfer and interaction of physical parameters at the overlapping area of the SPH particles and FVM grids. The continuous medium surface force model is also introduced into the ISPH-FVM coupling algorithm to study the effect of surface tension on the two-phase flow. Several numerical examples of two-phase flow are adopted to verify the effectiveness of the ISPH-FVM coupling method.