It is of particular interest to researchers and developers of meshfree, particle, and other versatile methods, as well as practitioners and experimentalists with challenging application spaces including: The main focus is on application areas that are challenging or impossible for traditional finite element methods. The exchange of ideas will enrich method development by cross-pollinating ideas between various computational methods and by keeping researchers informed on the current application needs. This conference seeks to build a stronger connection between the computational mechanics communities working on novel methods and the communities working on applications and experimentation. The results indicate that the ULPH method has good accuracy, stability, and convergence properties in simulations of multiphase flows.Welcome to the USACM Thematic Conference on Meshfree and Particle Methods: Applications and Theory. Several numerical examples are presented to compare with either analytical or computational results obtained by using different numerical methods such as Smoothed Particle Hydrodynamics (SPH) method, Moving Particle Semi-implicit (MPS) method and Level Set (LS) method within the framework of Finite Element Method (FEM). The intermediate configuration is considered in the computational algorithm, and a modified predictor-corrector scheme is adopted to solve governing equations, which significantly improve the accuracy and efficiency of the ULPH model.

To enhance computation stability and prevent penetrations near the multiphase flow interface, a new surface tension resultant formulation based on the Continuum Surface Force (CSF) formulation, combined with the interface sharpness force, is also developed within the framework of ULPH method. In this paper, a weakly compressible updated Lagrangian particle hydrodynamics (ULPH) model has been developed for multiphase flows with high density ratios and viscosity ratios.

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