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Galenko, Peter
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Publications (5/5 displayed)
- 2024Crystalline Microstructure, Microsegregations, and Mechanical Properties of Inconel 718 Alloy Samples Processed in Electromagnetic Levitation Facilitycitations
- 2017Solidification of Undercooled Melts of Al-Based Alloys on Earth and in Spacecitations
- 2011Numerical approximation of the Cahn−Hilliard equation with memory effects in the dynamics of phase separation
- 2011Non-equilibrium solidification, modelling for microstructure engineering of industrial alloys (NEQUISOL)
- 2008Non-equilibrium and near-equilibrium solidification of undercooled melts of Ni- and Al-based alloyscitations
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article
Numerical approximation of the Cahn−Hilliard equation with memory effects in the dynamics of phase separation
Abstract
We consider the modifified Cahn-Hilliard equation for phase separation suggested to account for spinodal decomposition in deeply supercooled binary alloy systems or glasses. This equation contains, as additional term, the second-order time derivative of the concentration multiplied by a positive coefficient Tau_d (time for relaxation). We consider a numerical approximation scheme based on Fourier spectral method and perform numerical analysis of the scheme. We present results of numerical simulations for three spatial dimensions, and examine the stability and convergence of the scheme.