An overview of smoothed particle hydrodynamics for simulating multiphase flow

Smoothed particle hydrodynamics (SPH), is a meshfree, Lagrangian, particle method, which is advantageous over conventional grid-based numerical methods in the aspect of interface treatment. Therefore, it has shown promising potential for simulating the multiphase flow problems. Over the past decades, numerous efforts have been devoted to the simulation of the multiphase flow by using the SPH method. In this review, recent advances in SPH for simulating the multiphase flow are reviewed. Firstly, the basic concept of SPH is briefly introduced. Attention is then paid to how to treat the pressure of incompressible flow, boundary condition and the surface tension in SPH. In addition, modeling free surface flow is briefly introduced. The modified interfacial models and their applications in handling high density ratio are addressed. Finally, a summary of SPH in the application of the multiphase flow is given.