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KIAM Preprint № 93, Moscow, 2007
Authors: Lashin A.M>
Numerical simulation of the solidification of a binary ideal alloy based on the phase-field model
Abstract:
The paper presents the model of the solidification process of a binary ideal alloy based on the time-dependent Landau-Ginzburg equation and the equations conservation of mass and energy (the phase-field model). The thermodynamical consistence of the model and its applicability to describe the solidification process are discussed. The comparison of exact solutions of Stefan problem of the planar-front solidification process with numerical solutions of the phase-field model obtained using the adaptive grid technique is performed. Numerical results of the steady-state solidification process of the undercooled melt are analyzed.
Publication language: russian, pages: 24
Research direction:
Mathematical modelling in actual problems of science and technics
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