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KIAM Preprint № 5, Moscow, 2001
Authors: Lashin A.M.
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.
Abstract:
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.
Publication language: russian,  pages: 21
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Lashin A.M.