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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 7, Pages 1323–1334
DOI: https://doi.org/10.31857/S0044466924070157
(Mi zvmmf11795)
 

Mathematical physics

Application of weighting direct simulation Monte Carlo schemes to weakly ionized rarefied gas flows

A. A. Shevyrin, E. A. Bondar'

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
Abstract: Procedures of the Direct Simulation Monte Carlo method for weakly ionized flows around reentry vehicles are presented. For ionization and recombination reactions, expressions for the model dependence of the reaction probability on velocities and energies of reagents are derived. An algorithm of dissociative recombination is presented, whose computational efficiency is reached by bypassing the modeling of the interaction of electrons and heavy particles. An approach to the construction of a weighting scheme for elastic collisions and chemical reactions is described, which significantly increases the computational efficiency of the algorithm. An example of using these numerical models and procedures for studying a weakly ionized flow around a reentry capsule under typical reentry conditions is given. The computation results are compared to plasma parameters measured in flight experiments.
Key words: weighting schemes, high-altitude aerothermodynamics, ionization, Direct Simulation Monte Carlo method, nonequilibrium gas flow, low-temperature plasma, ions recombination.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This study was performed within the framework of the State Contract of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences.
Received: 23.11.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 7, Pages 1603–1613
DOI: https://doi.org/10.1134/S0965542524700726
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: A. A. Shevyrin, E. A. Bondar', “Application of weighting direct simulation Monte Carlo schemes to weakly ionized rarefied gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1323–1334; Comput. Math. Math. Phys., 64:7 (2024), 1603–1613
Citation in format AMSBIB
\Bibitem{SheBon24}
\by A.~A.~Shevyrin, E.~A.~Bondar'
\paper Application of weighting direct simulation Monte Carlo schemes to weakly ionized rarefied gas flows
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 7
\pages 1323--1334
\mathnet{http://mi.mathnet.ru/zvmmf11795}
\crossref{https://doi.org/10.31857/S0044466924070157}
\elib{https://elibrary.ru/item.asp?id=75206879}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 7
\pages 1603--1613
\crossref{https://doi.org/10.1134/S0965542524700726}
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