NUMERICAL APPROXIMATION OF THE CAHN-HILLIARD EQUATION WITH MEMORY EFFECTS IN THE DYNAMICS OF PHASE SEPARATION

被引：0
|
作者：
Lecoq, Nicolas [1 ]
Zapolsky, Helena [1 ]
Galenko, Peter [2 ]
机构：
[1] Univ Rouen, Grp Phys Mat, UMR CNRS 6634, F-76801 St Etienne, France
[2] Deutsch Zentrum Luft & Raumfahrt DLR, German Aerosp, Inst Mat Phys Weltraum, D-51170 Cologne, Germany
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷
关键词：
Cahn-Hilliard equation; Spinodal decomposition; Memory effects; Numerical analysis; MODEL; RELAXATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the modified 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.
引用
收藏
页码：953 / 962
页数：10
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