A numerical model to track two‐fluid interfaces based on a stabilized finite element method and the level set technique

The objective of this work is to present a stabilized finite element formulation for transient incompressible flows and to apply it to the tracking of two‐fluid interfaces. The stabilization technique employed allows us to use equal velocity–pressure interpolations and to deal with convection–dominated flows. The tracking of the fluid interface is based on the level set technique. A novel smoothing technique of this surface based on ideas of signal processing is presented.