Simulation of Wave Impact With Compressible Air Entrainment Based on Consistent Particle Method

A numerical strategy for incompressible-compressible two-phase flows with large density difference is presented. The incompressible phase is modeled by the recently developed 2-phase Consistent Particle Method (2P-CPM) for incompressible flows. For the compressible phase, a thermodynamically-consistent compressible solver is developed by using the ideal gas equation of state (EOS). Since sound speed is not explicitly involved, this compressible solver can overcome the issues in the determination of numerical sound speed. In addition, the compressible solver can be integrated with the incompressible 2P-CPM seamlessly because they both use a predictor-corrector scheme to solve the governing equation of primitive form. The benchmark example of dam break with entrapped air pocket is studied to demonstrate the accuracy of the proposed method.