Incompressible-compressible moving particle and moving Voronoi mesh method for multiphase flow

A novel incompressible and compressible moving particle and moving Voronoi mesh (IC-MP-MVM) method for the multiphase flow is proposed by coupling the improved Moving-Particle Semi-implicit method (MPS) and compressible moving Voronoi mesh hydrodynamic method (MVMHM). In this method, the separated algorithm is used to solve the bi-directional coupling problem. The combination of these two methods keeps the advantages of solving unsteady flow with a large deformative interface and breakup while complementing the sharp-interface incompressible-compressible multiphase method without special treatment of density jump. Meanwhile, the MVMHM allows Voronoi mesh moving with the flow, which behaves as a quasi-Lagrangian method and can be cooperated with the Lagrangian MPS method to resolve violent deformation of sharp interfaces and compressible properties in good performance. By the coupling algorithm, the pressure and velocity are guaranteed to be continuous, and the density and viscosity are kept at sharp discontinuities among the interfaces. A comparative study with theoretical and experimental data proved the characteristics of this new method and the applicability and accuracy of the proposed method for incompressible-compressible multiphase flows with a large density ratio.