Geodesic
Numerical simulation and analysis of a turbulent mixing with 3D NUT code
Matematičeskoe modelirovanie, Tome 15 (2003) no. 5, pp. 3-11 
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/
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     title = {Numerical simulation and analysis of a turbulent mixing with {3D} {NUT} code},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--11},
     year = {2003},
     volume = {15},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_5_a0/}
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%A N. V. Zmitrenko
%A M. E. Ladonkina
%A I. G. Lebo
%A V. V. Nikishin
%A N. G. Proncheva
%A V. B. Rozanov
%A V. F. Tishkin
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%J Matematičeskoe modelirovanie
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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