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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2003 Volume 15, Number 5, Pages 3–11 (Mi mm453)

This article is cited in 4 papers

Numerical simulation and analysis of a turbulent mixing with 3D NUT code

S. M. Garinaa, N. V. Zmitrenkoa, M. E. Ladonkinaa, I. G. Lebob, V. V. Nikishina, N. G. Pronchevaa, V. B. Rozanovb, V. F. Tishkina

a Institute for Mathematical Modelling, Russian Academy of Sciences
b P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: 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 $(E\sim q^{-11/3})$.

Received: 14.03.2002



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