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

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 sch...

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Bibliographic Details
Published in:Heliyon 2023-06, Vol.9 (6), p.e16597-e16597, Article e16597
Main Authors: Shah, Abdullah, Ayub, Sana, Sohaib, Muhammad, Saeed, Sadia, Khan, Saher Akmal, Abbas, Suhail, Shah, Said Karim
Format: Article
Language:English
Subjects:
Cahn-Hilliard equation
Linearly stabilized splitting scheme
Operator splitting scheme
Semi-implicit Euler's scheme
The spinodal decomposition
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Summary: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.
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2023.e16597