Verification of the Domains Tracking Algorithm for Solving the System of Allen-Cahn and Cahn-Hilliard Equations Full article
| Conference |
The International Conference on Computational Sciences and its Applications 03-06 Jul 2023 , Athens |
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| Source | Computational Science and Its Applications – ICCSA 2023 Workshops
Athens, Greece, July 3–6, 2023, Proceedings Compilation, Springer. 2023. ISBN 978-3-031-37104-2. |
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| Journal |
Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349 |
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| Output data | Year: 2023, Volume: 14104, Pages: 693-707 Pages count : 15 DOI: 10.1007/978-3-031-37105-9_46 | ||||||
| Tags | Sintering · Phase-field · Cahn-Hilliard equation · Allen-Cahn equation | ||||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Russian Science Foundation | 21-71-20003 |
| 2 | Institute of Petroleum Geology and Geophysics | FWZZ-2022-0022 |
Abstract:
The sintering process is widely used in modern industry because it allows for obtaining materials with predefined properties. Chemical or physical techniques can measure these properties. Besides the cost of such methods, it is worth noting that some techniques destroy samples, which causes difficulties in measuring the parameters’ evolution. Computer simulation of the sintering process allows for overcoming these difficulties. The sintering models based on the system of Cahn-Hilliard and Allen-Cahn equations require optimization if the number of grains is large. However, optimizations affect the solution; thus, a detailed quality assessment is required. The article presents such a study for our optimization: the Allen-Cahn equations are solved in small subdomains of the whole computational domain, which change over time. We provide comparative tests between solutions obtained by our algorithm and solutions obtained by solving the system in the whole domain. Besides common approaches, we use powerful tools of topology: Hausdorff distance and Betti numbers. The choice of the algorithm parameters is justified by obtained accuracy and efficiency.
Cite:
Prokhorov D.
, Bazaikin Y.V.
, Lisitsa V.
Verification of the Domains Tracking Algorithm for Solving the System of Allen-Cahn and Cahn-Hilliard Equations
In compilation Computational Science and Its Applications – ICCSA 2023 Workshops Athens, Greece, July 3–6, 2023, Proceedings. – Springer., 2023. – Т.Part I. – C.693-707. – ISBN 978-3-031-37104-2. DOI: 10.1007/978-3-031-37105-9_46 WOS Scopus OpenAlex
Verification of the Domains Tracking Algorithm for Solving the System of Allen-Cahn and Cahn-Hilliard Equations
In compilation Computational Science and Its Applications – ICCSA 2023 Workshops Athens, Greece, July 3–6, 2023, Proceedings. – Springer., 2023. – Т.Part I. – C.693-707. – ISBN 978-3-031-37104-2. DOI: 10.1007/978-3-031-37105-9_46 WOS Scopus OpenAlex
Dates:
| Published print: | Jun 29, 2023 |
| Published online: | Jun 29, 2023 |
Identifiers:
| Web of science: | WOS:001295263500046 |
| Scopus: | 2-s2.0-85164940484 |
| OpenAlex: | W4382366463 |
Citing:
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