A new SPH density formulation for 3D free-surface flows

In this paper, a new density formulation for free surface simulations using SPH is presented. This approach applicable to surface-tension driven flows with strong topological changes. The corrected each particle by analytically calculating the missing volume of support domain. calculation depends on two parameters: local curvature and distance surface. method was validated compared evolution test cases: square droplet Rayleigh–Plateau instability. It shows more stable results better representation • A novel developed in SPH. geometric based coefficient proposed correcting near present found increase stability tension simulations.