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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Detalles Bibliográficos
Autores principales: Shah, Abdullah, Ayub, Sana, Sohaib, Muhammad, Saeed, Sadia, Khan, Saher Akmal, Abbas, Suhail, Shah, Said Karim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10245012/
https://www.ncbi.nlm.nih.gov/pubmed/37292351
http://dx.doi.org/10.1016/j.heliyon.2023.e16597
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author Shah, Abdullah
Ayub, Sana
Sohaib, Muhammad
Saeed, Sadia
Khan, Saher Akmal
Abbas, Suhail
Shah, Said Karim
author_facet Shah, Abdullah
Ayub, Sana
Sohaib, Muhammad
Saeed, Sadia
Khan, Saher Akmal
Abbas, Suhail
Shah, Said Karim
author_sort Shah, Abdullah
collection PubMed
description 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.
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spelling pubmed-102450122023-06-08 An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys Shah, Abdullah Ayub, Sana Sohaib, Muhammad Saeed, Sadia Khan, Saher Akmal Abbas, Suhail Shah, Said Karim Heliyon Research Article 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. Elsevier 2023-05-26 /pmc/articles/PMC10245012/ /pubmed/37292351 http://dx.doi.org/10.1016/j.heliyon.2023.e16597 Text en © 2023 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Shah, Abdullah
Ayub, Sana
Sohaib, Muhammad
Saeed, Sadia
Khan, Saher Akmal
Abbas, Suhail
Shah, Said Karim
An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys
title An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys
title_full An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys
title_fullStr An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys
title_full_unstemmed An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys
title_short An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys
title_sort operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10245012/
https://www.ncbi.nlm.nih.gov/pubmed/37292351
http://dx.doi.org/10.1016/j.heliyon.2023.e16597
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