Church, JM orcid.org/0000-0002-7464-9430, Guo, Z, Jimack, PK et al. (5 more authors) (2019) High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics. Communications in Computational Physics, 26. pp. 947-972. ISSN 1815-2406
Abstract
There is a large literature of numerical methods for phase field models from materials science. The prototype models are the Allen-Cahn and Cahn-Hilliard equations. We present four benchmark problems for these equations, with numerical results validated using several computational methods with different spatial and temporal discretizations. Our goal is to provide the scientific community with a reliable reference point for assessing the accuracy and reliability of future software for this important class of problem.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Allen-Cahn; Cahn-Hilliard; phase field; benchmark computation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/N007638/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Jun 2019 13:53 |
Last Modified: | 05 Jul 2019 11:18 |
Status: | Published |
Publisher: | Global Science Press |
Identification Number: | 10.4208/cicp.OA-2019-0006 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:146682 |