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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2020 Volume 32, Number 12, Pages 95–102 (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

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.

Received: 25.08.2020
Revised: 25.08.2020
Accepted: 21.09.2020

DOI: 10.20948/mm-2020-12-08


 English version:
Mathematical Models and Computer Simulations, 2021, 13:4, 692–697


© Steklov Math. Inst. of RAS, 2024