An unconditionally energy-stable second-order time-accurate numerical scheme for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures

Yibao Li, Lujing Zhang, Qing Xia, Qian Yu, Junseok Kim

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this article, we present an unconditional energy stable numerical method for the coupled Cahn–Hilliard system for homopolymer and copolymer mixtures in two- and three-dimensional spaces. By combining a Crank–Nicolson-type method with a nonlinearly stabilized splitting method, a second-order accurate numerical scheme is constructed. To efficiently solve the discrete system, we use a fast iterative Fourier transform method. We prove the unconditional energy stability of the proposed method. Therefore, a large time step can be adopted. Various numerical experiments are performed to prove the performance of the proposed scheme.

Original languageEnglish
Article number110809
JournalComputational Materials Science
Volume200
DOIs
Publication statusPublished - 2021 Dec

Keywords

  • Cahn–Hilliard system
  • Copolymer/homopolymer mixtures
  • Second order
  • Unconditionally energy-stable

ASJC Scopus subject areas

  • Computer Science(all)
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Computational Mathematics

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