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Sibirskii Zhurnal Industrial'noi Matematiki, 2024, Volume 27, Number 3, Pages 74–94
DOI: https://doi.org/10.33048/SIBJIM.2024.27.306 (Mi sjim1291) 		 
Numerical studies of the phase field model describing electric breakdown in a heterogeneous medium

E. V. Zipunova, A. A. Kuleshov, E. B. Savenkov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
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DOI: https://doi.org/10.33048/SIBJIM.2024.27.306
Abstract: This paper presents the results of numerical studies of the phase field model for the development of an electrical breakdown path. The model consists of Maxwell's equations in the quasi(electro)stationary approximation, the electric charge balance equation, and the Allen—Cahn equation describing the phase field evolution. Several problem settings concerning the development of a breakdown path in homogeneous as well as macro- and microheterogeneous media are considered.
Keywords: diffuse interface model, phase field, order parameter, electric breakdown.
Funding agency Grant number
Russian Science Foundation 22-11-00203
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-283
The work by E.V. Zipunova and E.B. Savenkov (Secs. 1, 2, 4) was supported by the Russian Science Foundation, project no. 22-11-00203. The work by A.A. Kuleshov (Secs. 3, 5) was carried out with the financial support of the Moscow Center for Fundamental and Applied Mathematics, agreement with the Ministry of Science and Higher Education of the Russian Federation no. 075-15-2022-283.
Received: 28.11.2023
Revised: 03.02.2024
Accepted: 03.07.2024
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 3, Pages 612–630
DOI: https://doi.org/10.1134/S1990478924030207
Document Type: Article
UDC: 51-72:517.9:538.91
Language: Russian
Citation: E. V. Zipunova, A. A. Kuleshov, E. B. Savenkov, “Numerical studies of the phase field model describing electric breakdown in a heterogeneous medium”, Sib. Zh. Ind. Mat., 27:3 (2024), 74–94; J. Appl. Industr. Math., 18:3 (2024), 612–630
Citation in format AMSBIB
\Bibitem{ZipKulSav24}
\by E.~V.~Zipunova, A.~A.~Kuleshov, E.~B.~Savenkov
\paper Numerical studies of the phase field model describing electric breakdown in a heterogeneous medium
\jour Sib. Zh. Ind. Mat.
\yr 2024
\vol 27
\issue 3
\pages 74--94
\mathnet{http://mi.mathnet.ru/sjim1291}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 3
\pages 612--630
\crossref{https://doi.org/10.1134/S1990478924030207}
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