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 |
|---|---|
| Pages (from-to) | 35-56 |
| Number of pages | 22 |
| Journal | Mathematics and Computers in Simulation |
| Volume | 119 |
| DOIs | |
| Publication status | Published - 2016 Jan 1 |
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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)
Cite this
Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations. / Lee, Dongsun; Kim, Junseok.
In: Mathematics and Computers in Simulation, Vol. 119, 01.01.2016, p. 35-56.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations
AU - Lee, Dongsun
AU - Kim, Junseok
PY - 2016/1/1
Y1 - 2016/1/1
N2 - 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.
AB - 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.
KW - Cahn-Hilliard equation
KW - Conservation of mass
KW - Conservative Allen-Cahn equation
UR - http://www.scopus.com/inward/record.url?scp=84945470967&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84945470967&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2015.08.018
DO - 10.1016/j.matcom.2015.08.018
M3 - Article
AN - SCOPUS:84945470967
VL - 119
SP - 35
EP - 56
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
SN - 0378-4754
ER -