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

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 3, Pages 436–448 (Mi zvmmf11526)

This article is cited in 1 paper

Mathematical physics

Influence of the shock wave intensity on instability development at rough interfaces of a three-layer gas system

V. V. Zmushko, A. N. Razin, A. A. Sinel'nikova, A. N. Shcherbakov

Russian Federal Nuclear Center – All-Russia Research Institute of Experimental Physics, 607188, Sarov, Nizhny Novgorod oblast, Russia

Abstract: The influence exerted by the intensity of a shock wave transmitted through rough interfaces on instability development in a three-layer gas system at Mach numbers $\mathrm{M}$ = 1.3 and $\mathrm{M}$ = 3 is studied. The three-layer system is obtained by placing two thin films (interfaces) across a shock tube. A heavy gas (sulfur hexafluoride) occupies the space between the interfaces (the central layer of the system), while the spaces to the left and right of the central layer are filled with air. The initial roughness of the interfaces is specified as a two-mode sinusoidal perturbation. The computations are carried out using the MIMOZA code based on implicit large eddy simulation (ILES) with the Euler equations integrated on a mesh with square cells. The numerical results are compared with each other and, at $\mathrm{M}$ = 1.3, with experimental data.

Key words: layered gas systems, interfaces, shock waves, instability, turbulent mixing, mathematical modeling.

UDC: 533.1

Received: 23.04.2022
Revised: 09.10.2022
Accepted: 14.11.2022

DOI: 10.31857/S0044466923030134


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:3, 413–424

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© Steklov Math. Inst. of RAS, 2025