Weakly Compressible SPH for Interfacial Flow

Interface is a key issue in the study of multiphase flows existing in our daily life and industrial applications. Many mesh methods have been developed to treat the interface, including Level set method (LSM), volume of fluid (VOF), front tracking method (FT), and phase field method, et al. As a meshfree method, Smoothed Particle Hydrodynamics (SPH) can easily handle complex flows with interface.

Weakly compressible SPH (WCSPH) for interfacial flow are developed in this research. The developed method has higher accuracy, efficiency and stability. In the WCSPH for free surface flow, surface particle is located and interface is reconstructed. In the WCSPH for multiphase flow, level set method is used to describe the interface and ghost fluid method is used to handle the jump condition at the interface.

Numerical tests are implemented for drop-film interaction in 2D and 3D, parasitic currents in static drop, oscillation of elliptic drop and square drop. The developed WCSPH for interfacial flow are proved to be an useful tool for complex flows with interface.

In the future, the developed WCSPH for interfacial flow will be applied to investigate the complex flows. And the compressible version will be developed.