An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys

Abdullah Shah*, Sana Ayub, Muhammad Sohaib, Sadia Saeed, Saher Akmal Khan, Suhail Abbas, Said Karim Shah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This article compares the operator splitting scheme to linearly stabilized splitting and semi-implicit Euler's schemes for the numerical solution of the Cahn-Hilliard equation. For the purpose of validation, the spinodal decomposition phenomena have been simulated. The efficacy of the three schemes has been demonstrated through numerical experiments. The computed results show that the schemes are conditionally stable. It has been observed that the operator splitting scheme is computationally more efficient.

Original languageEnglish
Article numbere16597
JournalHeliyon
Volume9
Issue number6
DOIs
StatePublished - Jun 2023

Bibliographical note

Publisher Copyright:
© 2023 The Author(s)

Keywords

  • Cahn-Hilliard equation
  • Linearly stabilized splitting scheme
  • Operator splitting scheme
  • Semi-implicit Euler's scheme
  • The spinodal decomposition

ASJC Scopus subject areas

  • General

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