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Comparison study of the conservative Allen–Cahn and the Cahn–Hilliard equations.
- Source :
-
Mathematics & Computers in Simulation . Jan2016, Vol. 119, p35-56. 22p. - Publication Year :
- 2016
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMERICAL analysis
*MATHEMATICAL equivalence
*MATHEMATICAL analysis
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 03784754
- Volume :
- 119
- Database :
- Academic Search Index
- Journal :
- Mathematics & Computers in Simulation
- Publication Type :
- Periodical
- Accession number :
- 110428999
- Full Text :
- https://doi.org/10.1016/j.matcom.2015.08.018