A fully implicit method for diffusion-controlled solidification of binary alloys (Q1197242)

In this paper the authors present the numerical solution for a class of diffusion-controlled solidifications of binary alloys. Some specific models for alloy solidification (classified into four groups) are considered. These models are based on the assumptions of macroscopically planar interfaces, local thermodynamic equilibrium and the transport of heat and/or solute mass by diffusion alone. The numerical solution for models I--III is formulated by using a multi- domain approach. This approach invokes a special difficulty associated with the unknown interface location and phase-transition temperature. Such a difficulty is resolved here by defining corrections similar to those used in single-phase convection problems.