An improved moving particle semi-implicit method for interfacial flows

In this paper, the improved moving particle semi-implicit (IMPS) method is further developed into a multiphase method by introducing various multiphase models. Then, the developed multiphase MPS method is applied to a variety of 2-D/3-D simulations of interfacial flows, including Rayleigh-Taylor instability, bubble rising, dambreak flow, and internal solitary waves. The fair agreements between the results of MPS and other reference results demonstrate that the present multiphase MPS method is stable and accurate enough to capture the interface with a large deformation in different flow problems. The phenomenon of air entrapment induced by the dam-break flow is well reproduced in the multiphase simulation and its influence on impact pressure is discussed in detail. The internal solitary waves with different amplitudes are numerically generated and the wave heights show a good agreement with experimental data even after a long-distance propagation, indicating that the numerical diffusion of the present multiphase MPS method is relatively low and the energy conservation can be ensured.

Automated summary

The improved moving particle semi-implicit (IMPS) method is developed into a multiphase method with various models to simulate interfacial flows. The method shows stable and accurate results in capturing large interface deformations and reproducing phenomena like air entrapment and internal solitary waves. Results demonstrate low numerical diffusion and good energy conservation even after long-distance wave propagation.