A practically unconditionally gradient stable scheme for the N-component Cahn–Hilliard system

Hyun Geun Lee, Jeong-Whan Choi and Junseok Kim

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 4, 1009-1019

Abstract: We present a practically unconditionally gradient stable conservative nonlinear numerical scheme for the N-component Cahn–Hilliard system modeling the phase separation of an N-component mixture. The scheme is based on a nonlinear splitting method and is solved by an efficient and accurate nonlinear multigrid method. The scheme allows us to convert the N-component Cahn–Hilliard system into a system of N−1 binary Cahn–Hilliard equations and significantly reduces the required computer memory and CPU time. We observe that our numerical solutions are consistent with the linear stability analysis results. We also demonstrate the efficiency of the proposed scheme with various numerical experiments.

Keywords: N-component Cahn–Hilliard system; Practically unconditionally gradient stable; Nonlinear multigrid; Phase separation; Finite difference (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:4:p:1009-1019

DOI: 10.1016/j.physa.2011.11.032

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