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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2017, Volume 159, Book 4, Pages 444–457 (Mi uzku1419)  

This article is cited in 2 scientific papers (total in 2 papers)

Modification of the Scharfetter–Gummel method for calculating the flux of charged particles for simulation of a radio-frequency capacitive coupled discharge

V. S. Zheltukhina, M. S. Fadeevab, V. Ju. Chebakovab

a Kazan National Research Technological University, Kazan, 420015 Russia
b Kazan Federal University, Kazan, 420008 Russia
Full-text PDF (590 kB) Citations (2)
References:
Abstract: A numerical method of solving of nonstationary convection-diffusion equation for charged particle densities in capacitive coupled RF discharge is presented. The method allows us to calculate the particle concentration together with the flux density simultaneously at very rapid changes of particle density and electrical field in the electrode sheath. The method is a modification of the Scharfetter–Gummel algorithm. Firstly, implicit difference approximation of the equation constructed by the integro-interpolation method is used for calculating the charged particles density. Then the flux density of charged particles is calculated. Our modification allows to carry out the calculation at milder restriction on the time step than the Courant condition. In addition, diffusion coefficient may be variable unlike with the original Scharfetter–Gummel algorithm.
Keywords: mathematical modeling, radio-frequency capacitive coupled discharge, modified Scharfetter–Gummel method, convection-diffusion equation, flux density of charged particles.
Funding agency Grant number
Russian Science Foundation 16-11-10299
The study was supported by the Russian Science Foundation (project no. 16-11-10299).
Received: 15.01.2017
Bibliographic databases:
Document Type: Article
UDC: 533.9.01
Language: Russian
Citation: V. S. Zheltukhin, M. S. Fadeeva, V. Ju. Chebakova, “Modification of the Scharfetter–Gummel method for calculating the flux of charged particles for simulation of a radio-frequency capacitive coupled discharge”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159, no. 4, Kazan University, Kazan, 2017, 444–457
Citation in format AMSBIB
\Bibitem{ZheFadChe17}
\by V.~S.~Zheltukhin, M.~S.~Fadeeva, V.~Ju.~Chebakova
\paper Modification of the Scharfetter--Gummel method for calculating the flux of charged particles for simulation of a~radio-frequency capacitive coupled discharge
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2017
\vol 159
\issue 4
\pages 444--457
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1419}
\elib{https://elibrary.ru/item.asp?id=32819178}
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  • https://www.mathnet.ru/eng/uzku1419
  • https://www.mathnet.ru/eng/uzku/v159/i4/p444
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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    Full-text PDF :149
    References:28
     
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