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

Zh. Vychisl. Mat. Mat. Fiz., 2021 Volume 61, Number 1, Pages 124–135 (Mi zvmmf11188)

This article is cited in 12 papers

Mathematical physics

Numerical simulation of gas mixtures based on the quasi-gasdynamic approach as applied to the interaction of a shock wave with a gas bubble

T. G. Elizarova, E. V. Shilnikov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow

Abstract: A new numerical algorithm for simulating transonic flows of nonreacting gas mixtures is proposed. The algorithm is based on the finite volume method as applied to regularized, or quasi-gasdynamic, equations. The equations describing multicomponent gas flows are derived phenomenologically using an existing regularized system for one-component gas and classical equations for gas mixtures. The numerical examples include the computation of the nonstationary interaction of gas flow with heavy and light gas bubbles.

Key words: gas mixture, quasi-gasdynamic equations, finite volume method, transonic flows, gas bubbles.

UDC: 519.634

Received: 21.04.2020
Revised: 02.07.2020
Accepted: 18.09.2020

DOI: 10.31857/S004446692101004X


 English version:
Computational Mathematics and Mathematical Physics, 2021, 61:1, 118–128

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© Steklov Math. Inst. of RAS, 2024