Abstract
This study aims to investigate a Lagrangian vortex particle method for tracking a viscous fluid interface. Unlike usual Eulerian schemes such as Level-Set method, Volume-of-Fluid method and CIP method, this paper proposes a Lagrangian scheme in which the continuity equation is established by the density difference across the interface. Then, the density difference across the interface is calculated by the distribution of the source singularities on the interface, and the surface tension relates to the time evolution of the strength of the vortex particles.
