描述非均质介质中电击穿的相场模型的数值研究

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI:10.1134/S1990478924030207

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

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引用次数: 0

摘要

本文介绍了电击穿路径发展的相场模型的数值研究结果。该模型由准稳态近似麦克斯韦方程组、电荷平衡方程和描述相场演化的艾伦-卡恩方程组成。几个问题设置有关发展的击穿路径均质以及宏观和微观非均质介质被考虑。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical Studies of the Phase Field Model Describing Electric Breakdown in a Heterogeneous Medium

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.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.