Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadatas

https://hal-normandie-univ.archives-ouvertes.fr/hal-01777456
Contributor : Pierre Weill <>
Submitted on : Tuesday, April 24, 2018 - 5:15:14 PM
Last modification on : Thursday, June 20, 2019 - 11:46:13 AM

Links full text

Identifiers

Citation

N. Lecoq, Helena Zapolsky, Peter Galenko. Numerical approximation of the Cahn−Hilliard equation with memory effects in the dynamics of phase separation. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SUPPLEMENT, American Institude of Mathematical Sciences, 2011, 31, pp.953-962. ⟨10.3934/proc.2011.2011.953⟩. ⟨hal-01777456⟩

Share

Metrics

Record views

78