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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2002 Volume 14, Number 2, Pages 27–38 (Mi mm655)

Numerical simulation of unstable processes in phase decomposition problem

D. A. Kulagin, G. A. Omel'yanov, N. O. Ordinartseva

Moscow State Institute of Electronics and Mathematics (Technical University)

Abstract: We carry out numerical simulation of phase decomposition processes in binary alloys for a conservative phase field system. For the case $x\in\mathbb R^1$ explicit and implicit difference schemes are proposed. Numerical results illustrate the main stages of the process dynamics: the interface motion, the evolution and bifurcation of a “soliton”, and the motion and bifurcation of an oscillating singularity.

Received: 07.12.2000



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