Eliminating spurious velocities with a stable approximation of incompressible two-phase flow

摘要: We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Stokes equations in two phases, which are coupled via jump conditions across interface. Using novel variational formulation for interface evolution gives rise to natural discretization the mean curvature In addition, mesh quality parametric approximation does not deteriorate, general, over time; and an equidistribution property can be shown semidiscrete continuous-in-time variant of our scheme space dimensions. Moreover, on using simple XFEM pressure space enrichment, we obtain exact volume conservation phase regions. Furthermore, fully discrete be unconditionally stable. demonstrate applicability method with some numerical results which, particular, that spurious velocities be avoided classical test cases.