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

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 7, Pages 1193–1205 (Mi zvmmf11590)

This article is cited in 4 papers

Mathematical physics

Quasi-gasdynamic model and numerical algorithm for describing mixtures of different fluids

T. G. Elizarova, E. V. Shilnikov

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

Abstract: An elegant and easy-to-implement numerical algorithm for simulating flows of homogeneous gas mixtures with component temperatures and velocities assumed to be equal is constructed and tested. The algorithm yields monotone density profiles for the components even if their specific heat ratios are widely different. The algorithm can be used to simulate some flows of gas–liquid mixtures.

Key words: homogeneous gas mixture, one-fluid approximation, finite-difference algorithm, regularized equations.

UDC: 519.634

Received: 14.11.2022
Revised: 14.11.2022
Accepted: 30.03.2023

DOI: 10.31857/S0044466923070050


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:7, 1319–1331

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© Steklov Math. Inst. of RAS, 2024