On the finite element method application for approximation of free-surface flows with surface tension and contact angles

摘要

This paper focuses on the mathematical modelling and the numerical approximation of the flow of two immiscible incompressible fluids, which is influenced by the surface tension and the contact angle effects. The weak formulation is introduced, discretized in time, and the finite element method is applied. The surface tension effects are taken into account using the variational reformulation. The stability of the discrete problem is increased using the implicit formulation of the surface tension. The free surface motion is treated with the aid of the level set method. The numerical results are shown.