Mathematical modeling of turbulent mixing in gas systems with a chevron contact boundary using NUT3D, BIC3D, EGAK, and MIMOSA numerical codes

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The paper presents computational and experimental studies of the evolution of turbulent mixing in three-layer gas systems with the development of hydrodynamic instabilities, in particular Richtmyer-Meshkov and Kelvin-Helmholtz, under the action of shock waves. One of the contact boundaries of the gases was flat, the other with a break in the form of a chevron. Numerical calculations are performed both without initial perturbations of the contact boundaries, and in the presence of perturbations. It is shown that the roughness of the contact boundary significantly affects the width of the mixing zone.

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作者简介

M. Bragin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: pkuchugov@gmail.com
俄罗斯联邦, Miusskaya pl. 4, Moscow, 125047

N. Zmitrenko

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: pkuchugov@gmail.com
俄罗斯联邦, Miusskaya pl. 4, Moscow, 125047

V. Zmushko

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

P. Kuchugov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: pkuchugov@gmail.com
俄罗斯联邦, Miusskaya pl. 4, Moscow, 125047

E. Levkina

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

K. Anisiforov

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

N. Nevmerzhitskiy

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

A. Razin

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

E. Sen’kovskiy

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

V. Statsenko

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

N. Tishkin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: pkuchugov@gmail.com
俄罗斯联邦, Miusskaya pl. 4, Moscow, 125047

Yu. Tret’yachenko

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

Yu. Yanilkin

Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics

Email: pkuchugov@gmail.com
俄罗斯联邦, pr. Mira 37, Sarov, Nizhni Novgorod oblast, 607188

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2. Fig. 1. The scheme of the experiments. a) a diagram of the shock tube; b) a photograph of the measuring section with a 5×5 mm 3D grid; D1, D2 - timers; KG1, KG2 – contact boundaries

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3. Fig. 2. The motion picture of the flow in experiment No. 1 with an air-helium-air layer (M = 1.25). 1 — helium; 2 — air; 3 – shock wave; 4 – KG2; 5 — ZTP1 on KG1; 6 — ZTP2 on KG2; time is counted from the arrival of the incident shock wave on KG1

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4. Fig. 3. The motion picture of the flow in experiments with the air-SF6-air layer. a) experience No. 6 with a 3D grid, M = 1.2; b) experience No. 25 without a grid, M = 1.4. 1 – SF6; 2 – air; 3 – shock wave; 4 – KG2; 5 – ZTP1 on KG1; 6 – ZTP2 on KG2; 7 – wave reflected from a rigid wall; time is counted from the arrival of the incident shock wave on KG1

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5. Fig. 4. Distribution of the solution from the horizontal layer (np=4, r =2).

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6. Fig. 5-1 (beginning).

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7. Fig. 5-2 (continued).

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8. Fig. 5-3 (continued).

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9. Fig. 5-4 (continued).

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10. Fig. 5-5 (end). Experimental photographs (a) and numerical schlier

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11. Fig. 6. Numerical Schlieren images at various points in time: (a) NUT3D, (b) BIC3D.

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12. Fig. 7. Flow patterns: calculations t = 491, experiment with a 3D grid t = 491.6, experiment with a 2D grid t = 481.

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13. Fig. 8. Flow patterns: calculations t = 571, experiment with a 3D grid t = 571.6, experiment with a 2D grid t = 565.1.

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14. Fig. 9. Flow patterns: calculations t = 732, experiment with a 3D grid t = 731.6, experiment with a 2D grid t = 732.1.

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15. Fig. 10. Flow patterns: calculations t = 812, experiment with a 3D grid t = 811.6, experiment with a 2D grid t = 815.6.

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16. Fig. 11. Flow patterns: calculations t = 1000, experiment with a 3D grid t = 1071.6 (there is no data for the experiment with a 2D grid).

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17. Fig. 12. Comparison of the calculated and experimental dynamics of the boundaries and mixing zones, air-helium-air layer, t ≈530 microseconds.

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