Two-dimensional liquid column and liquid droplet impact on a solid wedge

The hydrodynamic impact due to a two-dimensional (2D) liquid column or a 2D liquid droplet hitting on a solid wedge is analysed. The problem is solved using the complex velocity potential together with the boundary element method. A stretched coordinate system is used, which is defined through the ratio of the normal Cartesian coordinate system to an appropriately chosen time-varying length scale. Numerical simulations are first made for impact by a liquid wedge. The results from the time-domain method are found to be in a good agreement with the similarity solution. Simulations are also made for impact by an elliptic droplet. A condition for bisection of the droplet is introduced, which is found to provide stable and converged results.