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Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations
- Authors
- Lee, Dongsun; Kim, Junseok
- Issue Date
- 1월-2016
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Conservative Allen-Cahn equation; Cahn-Hilliard equation; Conservation of mass
- Citation
- MATHEMATICS AND COMPUTERS IN SIMULATION, v.119, pp.35 - 56
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICS AND COMPUTERS IN SIMULATION
- Volume
- 119
- Start Page
- 35
- End Page
- 56
- ISSN
- 0378-4754
- 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. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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