Verification of the Domains Tracking Algorithm for Solving the System of Allen-Cahn and Cahn-Hilliard Equations | Sciact - Система учета научной деятельности ИМ СО РАН

Verification of the Domains Tracking Algorithm for Solving the System of Allen-Cahn and Cahn-Hilliard Equations Научная публикация

Конференция

The International Conference on Computational Sciences and its Applications
03-06 июл. 2023 , Athens

Сборник

Computational Science and Its Applications – ICCSA 2023 Workshops Athens, Greece, July 3–6, 2023, Proceedings
Сборник, Springer. 2023. ISBN 978-3-031-37104-2.

Журнал

Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349

Вых. Данные

Год: 2023, Том: 14104, Страницы: 693-707 Страниц : 15 DOI: 10.1007/978-3-031-37105-9_46

Ключевые слова

Sintering · Phase-field · Cahn-Hilliard equation · Allen-Cahn equation

Авторы

Prokhorov Dmitriy ¹ , Bazaikin Ya.V. ² , Lisitsa Vadim ³

Организации

1	Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk, Russia
2	Faculty of Science, Jan Evangelista Purkyně University in Ústí nad Labem, Ústí nad Labem, Czech Republic
3	Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia

Информация о финансировании (2)

1	Российский научный фонд	21-71-20003
2	Институт нефтегазовой геологии и геофизики им. А. А. Трофимука СО РАН	FWZZ-2022-0022

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.

Prokhorov D. , Bazaikin Y.V. , Lisitsa V.
Verification of the Domains Tracking Algorithm for Solving the System of Allen-Cahn and Cahn-Hilliard Equations
В сборнике 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

Опубликована в печати:	29 июн. 2023 г.
Опубликована online:	29 июн. 2023 г.

Web of science:	WOS:001295263500046
Scopus:	2-s2.0-85164940484
OpenAlex:	W4382366463

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