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