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

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

Journal

Heliyon
ISSN: 2405-8440
Titre abrégé: Heliyon
Pays: England
ID NLM: 101672560

Informations de publication

Date de publication:
Jun 2023
Historique:
received: 05 01 2023
revised: 18 05 2023
accepted: 22 05 2023
medline: 9 6 2023
pubmed: 9 6 2023
entrez: 9 6 2023
Statut: epublish

Résumé

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.

Identifiants

pubmed: 37292351
doi: 10.1016/j.heliyon.2023.e16597
pii: S2405-8440(23)03804-5
pmc: PMC10245012
doi:

Types de publication

Journal Article

Langues

eng

Pagination

e16597

Informations de copyright

© 2023 The Author(s).

Déclaration de conflit d'intérêts

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Références

IEEE Trans Image Process. 2007 Jan;16(1):285-91
pubmed: 17283787
Heliyon. 2018 Dec 08;4(12):e01024
pubmed: 30582045

Auteurs

Abdullah Shah (A)

Department of Mathematics, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia.

Sana Ayub (S)

Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad-45550, Pakistan.

Muhammad Sohaib (M)

Department of Mathematics, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia.
Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad-45550, Pakistan.
Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24461, Pakistan.

Sadia Saeed (S)

Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan.

Saher Akmal Khan (SA)

Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad-45550, Pakistan.

Suhail Abbas (S)

Department of Mathematics, Karakoram International University, Ghizer Campus, Ghizer 15200, Pakistan.

Said Karim Shah (SK)

Department of Physics, Abdul Wali Khan University Mardan, 23200, Khyber Pakhtunkhwa, Pakistan.

Classifications MeSH