Eberhard Bänsch, Jordi Paul and Alfred Schmidt An ALE finite element method for a coupled Stefan problem and Navier–Stokes equations with free capillary surface International Journal for Numerical Methods in Fluids 71
A system of Navier-Stokes equations with free capillary surface and Stefan problem is used to model the partial melting of a workpiece of metal. The ALE finite element method used for discretization is augmented by a mesh-moving technique, which explicitly tracks the moving boundaries. With this method, it is possible to use a sharp interface model, which accurately resolves the influences of the moving boundaries on the flow field and thus on the overall energy transport.
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