Thin-film smoothed particle hydrodynamics fluid

We propose a particle-based method to simulate thin-film fluid that jointly facilitates aggressive surface deformation and vigorous tangential flows. build our dynamics model from the tension driven Navier-Stokes equation with dimensionality reduced using asymptotic lubrication theory customize set of differential operators based on weakly compressible Smoothed Particle Hydrodynamics (SPH) for evolving pointset surfaces. The key insight is nature SPH, which unfavorable in its typical usage, helpful application co-evolve thickness, calculate tension, enforce incompressibility thin film. In this way, we are able two-way couple in-plane flows physically manner. can complex vortical swirls, fingering effects due Rayleigh-Taylor instability, capillary waves, Newton's interference fringes, Marangoni effect liberally deforming surfaces by presenting both realistic visual results numerical validations. system also enables it conveniently handle topology changes codimension transitions, allowing us marry simulation wide gamut 3D phenomena, such as pinch-off unstable catenoids, dripping under gravity, merging droplets, well bubble rupture.