Abstract
In this paper, a comparison study of conservative Allen-Cahn and Cahn-Hilliard equations is presented. We consider two mass-conservative Allen-Cahn equations and two Cahn-Hilliard equations with constant and variable mobilities. The equations are discretized using finite difference schemes, and discrete systems of the equations are solved using a nonlinear multigrid method. The generation and motion of interface are investigated for the conservative equations. We then present numerical experiments which highlight different dynamics of the four equations.
Original language | English |
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Pages (from-to) | 35-56 |
Number of pages | 22 |
Journal | Mathematics and Computers in Simulation |
Volume | 119 |
DOIs | |
Publication status | Published - 2016 Jan 1 |
Keywords
- Cahn-Hilliard equation
- Conservation of mass
- Conservative Allen-Cahn equation
ASJC Scopus subject areas
- Modelling and Simulation
- Numerical Analysis
- Applied Mathematics
- Theoretical Computer Science
- Computer Science(all)