Computation of mould filling processes with a moving Lagrangian interface technique

Computation of non‐isothermal flow problems involving moving interfaces is presented. A Lagrangian interface technique, defined in the context of a fixed‐mesh finite element formulation for incompressible flows, is employed to update the interface position. A global mass‐corrector algorithm is used to accurately enforce the global mass conservation. The Navier–Stokes equations are solved with an improved sub‐element integration technique to more accurately account for sudden changes in the fluid properties across the interface. The method described is applied to two mould filling problems.