Comparison study of the conservative Allen–Cahn and the Cahn–Hilliard equations

Dongsun Lee and Junseok Kim

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 119, issue C, 35-56

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.

Keywords: Conservative Allen–Cahn equation; Cahn–Hilliard equation; Conservation of mass (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:119:y:2016:i:c:p:35-56

DOI: 10.1016/j.matcom.2015.08.018

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