Author(s)

Y. Du Terrail Couvat, A. Gagnoud, M. Anderhuber

Abstract

2D solidification and melting model using FEM and adaptive meshing Y. Du Terrail Couvat, A. Gagnoud & M. Anderhuber Abstract In the case of pure materials, a precise modeling of solidification and melting phenomena may be achieved by controlling accurately the position and shape of the solidification front. We analyze two approaches. The first one considers a cylindrical ingot in which solid and liquid materials are present. The second one considers a piece of material melting in an infinite bath composed of the same melted material. In the first case, the static energy equation is written in term of enthalpy, and laminar liquid movements are expressed with velocity and pressure unknowns. The finite element mesh is adapted by moving internal nodes on a fixed mesh topology. A particular interface element has been introduced on the solidification front line. A Petrov Galerkin upwind scheme has been programmed. In the second case, transient energy equation is written in temperatur

Keywords