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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Kočí, Jan | Prague |
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| Azevedo, Nuno Monteiro |
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Lecoq, Nicolas
Normandie Université
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (5/5 displayed)
- 2011Phase-field modelling of spinodal decomposition during ageing and heatingcitations
- 2011Study by Differential Thermal Analysis of Reverse Spinodal Transformation in 15-5 PH Alloycitations
- 2011Numerical approximation of the Cahn−Hilliard equation with memory effects in the dynamics of phase separation
- 2009Evolution of the structure factor in a hyperbolic model of spinodal decompositioncitations
- 2008Coarsening Kinetic of Aluminium-Scandium and Aluminium-Zirconium-Scandium Precipitates
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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.