Smoothed Particle Hydrodynamics Method for Multi-physics Fluid Flows

Smoothed Particle Hydrodynamics (SPH) is a relatively new meshless numerical approach which has attracted significant attention in the last two decades. Compared with the conventional mesh-based computational fluid dynamics (CFD) methods, SPH exhibits some unique advantages in modelling multiphysics fluid flows and associated transport phenomena due to its capabilities of handling complex boundary evolution as well as modelling complicated physics in a relatively simple manner. On the other hand, as SPH is still a developing CFD method, it is crucial to identify its advantages and limitations in modelling realistic multiphysics flow problems of real life. Toward this end, this works aims at developing an Incompressible SPH (ISPH) model for multiphase multiphysics fluid flow problems.

The presented model is based on the continuum surface force (CSF) approach including Marangoni force as well as leaky dielectric assumption including the Lorentz force for treating thermo-capillary and electrohydrodynamics (EHD) flows, respectively. We carefully validate the proposed model using several test cases that confirms its applicability and accuracy for such Multiphysics problems.