COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION

Numerical Studies of the Cahn-Hilliard Equation for Phase Separation

The Cahn-hilliard Equation

1. Steady states. There are many two component systems in which phase separation can be induced by rapidly cooling the system. Thus, if a two component system, which is spatially uniform at temperature T1, is rapidly cooled to a second sufficiently lower temperature T2, then the cooled system will separate into regions of higher and lower concentration. A phenomenological description of the beh...

The Cahn–Hilliard Equation

Numerical schemes for a three component Cahn-Hilliard model

In this article, we investigate numerical schemes for solving a three component CahnHilliard model. The space discretization is performed by using a Galerkin formulation and the finite element method. Concerning the time discretization, the main difficulty is to write a scheme ensuring, at the discrete level, the decrease of the free energy and thus the stability of the method. We study three d...

Physical, mathematical, and numerical derivations of the Cahn–Hilliard equation

Article history: Received 19 June 2013 Received in revised form 9 August 2013 Accepted 12 August 2013 Available online 14 September 2013