Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow: Surface tension and contact line dynamics
We present a novel formulation of the Pairwise Force Smoothed Particle Hydrodynamics (PF-SPH) model and use it to simulate two- and three-phase flows in bounded domains. In the PF-SPH model, the NavierStokes equations are discretized with the Smoothed Particle Hydrodynamics (SPH) method, and the YoungLaplace boundary condition at the fluidfluid interface and the Young boundary condition at the fluidfluidsolid interface are replaced with pairwise forces added into the NavierStokes equations. We derive a relationship between the parameters in the pairwise forces and the surface tension and static contact angle. Next, we demonstrate the model's accuracy under static and dynamic conditions. Finally, we use the Pf-SPH model to simulate three phase flow in a porous medium.
smoothed particle hydrodynamics multiphase flow surface tension contact line dynamics three-phase flow pore-scale flow