Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskoe modelirovanie, 2020, Volume 32, Number 12, Pages 95–102
DOI: https://doi.org/10.20948/mm-2020-12-08 (Mi mm4246) 		 
Superfast calculation method of multicomponent plasma composition and thermodynamics

A. A. Belovab, V. S. Dimakovc, I. A. Kozlitind

a Lomonosov Moscow State University
b RUDN University
c JSC «STC ELINS»
d Keldysh Institute for Applied Mathematics of Russian Academy of Sciences
Full-text PDF (305 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20948/mm-2020-12-08
Abstract: Algorithm of plasma composition calculation is described in details. It is based on the improved Raizer method. We compare calculation results obtained by this method with solution of the Saha equations accounting for electron degeneration. We propose new method of solution of equation in one variable. For calculations of multicomponent plasma composition, this method has the same robustness as the dichotomy method and is much faster than the Brent method. The calculation formulas for thermodynamic functions of plasma are provided.
Keywords: multicomponent plasma, the Saha equations, the improved Raizer method, plasma composition, thermodynamic functions, equation solution, the Brent method.
Funding agency Grant number
Russian Science Foundation 16-11-10001-П
Received: 25.08.2020
Revised: 25.08.2020
Accepted: 21.09.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 4, Pages 692–697
DOI: https://doi.org/10.1134/S2070048221040062
Document Type: Article
Language: Russian
Citation: A. A. Belov, V. S. Dimakov, I. A. Kozlitin, “Superfast calculation method of multicomponent plasma composition and thermodynamics”, Matem. Mod., 32:12 (2020), 95–102; Math. Models Comput. Simul., 13:4 (2021), 692–697
Citation in format AMSBIB
\Bibitem{BelDimKoz20}
\by A.~A.~Belov, V.~S.~Dimakov, I.~A.~Kozlitin
\paper Superfast calculation method of multicomponent plasma composition and thermodynamics
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 12
\pages 95--102
\mathnet{http://mi.mathnet.ru/mm4246}
\crossref{https://doi.org/10.20948/mm-2020-12-08}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 4
\pages 692--697
\crossref{https://doi.org/10.1134/S2070048221040062}
Linking options:
  • https://www.mathnet.ru/eng/mm4246
  • https://www.mathnet.ru/eng/mm/v32/i12/p95
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025