An investigation of the dynamics of first-order phase transition during the irectional solidification of a pure metal into an undercooled melt on the base of phase-field model

The paper presents the continual exothermical model of the first-order phase transition based on the time-dependent Landau-Ginzburg equation and the equation of energy conservation (phase-field model). Thermodynamical consistence of the model and it applicability to describe a solidification process are discussed. The comparison of exact solutions of Stefan problem of planar-front solidification process with numerical solutions of phase-field model obtained using adaptive grid technique is performed. The numerical results of solidification process of the metal into supercooled melt are analyzed.