Geodesic
Numerical simulation and analysis of a turbulent mixing with 3D NUT code
Matematičeskoe modelirovanie, Tome 15 (2003) no. 5, pp. 3-11.

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Numerical results are presented for two cases of hydrodynamic instability development. The first problem is connected with a direct simulation of a turbulent mixing occurred due to Richtmyer–Meshkov instability development. Modeling results well describe the main configuration characteristics of a developing mixing zone, that is turbulent layer view and size. The second problem relates a classical Rayleigh–Taylor instability. In this case a mixing zone range increases in proportion to time squared with the different coefficients: fast growth in beginning changes to more slow at the end. For both problems a dependence of the kinetic energy on wave number is obtained by means of the Fourier expansion of the velocity components. It discovered a small inertial interval $(E\sim q^{-5/3})$ and more extensive interval in dissipation region $(E\sim q^{-11/3})$. 
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     title = {Numerical simulation and analysis of a turbulent mixing with {3D} {NUT} code},
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S. M. Garina; N. V. Zmitrenko; M. E. Ladonkina; I. G. Lebo; V. V. Nikishin; N. G. Proncheva; V. B. Rozanov; V. F. Tishkin. Numerical simulation and analysis of a turbulent mixing with 3D NUT code. Matematičeskoe modelirovanie, Tome 15 (2003) no. 5, pp. 3-11. http://geodesic.mathdoc.fr/item/MM_2003_15_5_a0/

[1] D. L. Youngs, “Three-Dimensional Numerical Simulation of Turbulent Mixing by Rayleigh–Taylor Instability”, Phys. Fluids A, 3:5 (1991), 1312–1320 | DOI

[2] O. G. Sin'kova, A. L. Stadnik, V. P. Statsenk, et al., “Three-Dimensional Numerical Simulation of Gravitational Turbulent Mixing”, Proceedings of Sixth International Workshop on the Physics of Compressible Turbulent Mixing, IUSTI, Marseille, 1997, 470–479

[3] V. F. Tishkin, V. V. Nikishin, I. V. Popov, A. P. Favorskii, “Raznostnye skhemy trekhmernoi gazovoi dinamiki dlya zadachi o razvitii neustoichivosti Rikhtmaiera–Meshkova”, Matem. modelirovanie, 7:5 (1995), 15–25 | Zbl

[4] D. L. Youngs, “Numerical Simulation of Mixing by Turbulent by Rayleigh–Taylor and Richtmyer–Meshkov Instabilities”, Layer and Particle Beams, 12:4 (1994), 725–750 | DOI

[5] N. N. Anuchina, V. I. Volkov, V. A. Gordeychuk et al., “3D Numerical Simulation of Rayleigh–Taylor Instability Using MAH-3 Code”, Layer and Particle Beams, 18 (2000), 175–181 | DOI

[6] V. V. Bashurov, Yu. A. Bondarenko, E. V. Gubkov et al., “Experimental and Numerical Evolution Studies for 2D Perturbations of the Interface Accelerated by Shock Waves”, Layer and Particle Beams, 15:1 (1997), 101–114 | DOI

[7] Yu. A. Kucherenko, G. E. Tomashev, L. I. Shibarshov, “Eksperimentalnoe issledovanie avtomodelnogo rezhima gravitatsionnogo turbulentnogo peremeshivaniya”, Voprosy atomnoi nauki i tekhniki, 1 (1988) | Zbl

[8] A. S. Monin, A. M. Yaglom, Statisticheskaya gidromekhanika, t. 2, Nauka, M., 1967

[9] L. D. Landau, E. M. Lifshits, Gidrodinamika, Nauka, M., 1986 | MR

[10] Yu. L. Levitan, I. M. Sobol, “O datchike psevdosluchainykh chisel dlya personalnykh kompyuterov”, Matem. modelirovanie, 2:8 (1990), 119–126 | MR | Zbl