Modeling of large droplets impingement using a hybrid Taylor-Galerkin Variational Multi-Scale stabilized level set method

A Finite Element implementation of the Level Set method is coupled with an incompressible Navier-Stokes flow solver for the numerical modeling of water droplet dynamics for in-flight ice accretion. The proposed method adopts a hybrid second order Taylor-Galerkin Variational Multi-Scale stabilization approach for the Level Set equation, and a locally extended Finite Element approach for the Navier-Stokes equations. Various benchmark test cases are presented, including sloshing tank, Rayleigh-Taylor instability, and a rising bubble. The accuracy of the method is assessed and compared to other approaches available in literature.