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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2024 Volume 64, Number 7, Pages 1323–1334 (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.

UDC: 519.642

Received: 23.11.2023

DOI: 10.31857/S0044466924070157


 English version:
Computational Mathematics and Mathematical Physics, 2024, 64:7, 1603–1613

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© Steklov Math. Inst. of RAS, 2025