Modeling the thermal field of stationary symmetric bodies in rarefied low-temperature plasma

Cherepanov V.V.
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The work investigates the process of self-consistent relaxation of the region of disturbances created in a rarefied binary low-temperature plasma by a stationary charged ball or cylinder with an absorbing surface. A feature of such problems is their self-consistent kinetic nature, in which it is impossible to separate the processes of transfer in phase space and the formation of an electromagnetic field. A mathematical model is presented that makes it possible to describe and analyze the state of the gas, electric and thermal fields in the vicinity of the body. The multidimensionality of the kinetic formulation creates certain problems in the numerical solution, therefore a curvilinear system of nonholonomic coordinates was selected for the problem, which minimizes its phase space, which contributes to increasing the efficiency of numerical methods. For such coordinates, the form of the Vlasov kinetic equation has been justified and analyzed. To solve it, a variant of the large particle method with a constant form factor was used. The calculations used a moving grid that tracks the displacement of the distribution function carrier in the phase space, which further reduced the volume of the controlled region of the phase space. Key details of the model and numerical method are revealed. The model and the method are implemented as code in the Matlab language. Using the example of solving a problem for a ball, the presence of significant disequilibrium and anisotropy in the particle velocity distribution in the disturbed zone is shown. Based on the calculation results, pictures of the evolution of the structure of the particle distribution function, profiles of the main macroscopic characteristics of the gas — concentration, current, temperature and heat flow, and characteristics of the electric field in the disturbed region are presented. The mechanism of heating of attracted particles in the disturbed zone is established and some important features of the process of formation of heat flow are shown. The results obtained are well explainable from a physical point of view, which confirms the adequacy of the model and the correct operation of the software tool. The creation and testing of a basis for the development in the future of tools for solving more complex problems of modeling the behavior of ionized gases near charged bodies is noted.

The work will be useful to specialists in the field of mathematical modeling, heat and mass transfer processes, lowtemperature plasma physics, postgraduate students and senior students specializing in the indicated areas.

Keywords: mathematical modeling, rarefied plasma, absorbing charged ball, disturbed zone, phase space, nonholonomic coordinates, distribution function, self-consistent field, macroparameters, evolution and steady state
Citation in English: Cherepanov V.V. Modeling the thermal field of stationary symmetric bodies in rarefied low-temperature plasma // Computer Research and Modeling, 2025, vol. 17, no. 1, pp. 73-91
Citation in English: Cherepanov V.V. Modeling the thermal field of stationary symmetric bodies in rarefied low-temperature plasma // Computer Research and Modeling, 2025, vol. 17, no. 1, pp. 73-91
DOI: 10.20537/2076-7633-2025-17-1-73-91
URL: http://crm-en.ics.org.ru/journal/article/3577/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

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