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amplitude analysis analytical approach approximation averaged axis Belotserkovskii Boltzmann equation boundary conditions boundary layer bubbles calculations chaos characteristics coefficient coherent structures component compression computational considered contact boundary corresponding density dimensional direct numerical simulation direction distribution domain dynamics energy Euler equations evolution finite fluid formulation function grid harmonics hydrodynamic incompressible inertial initial integral interaction interface internal waves investigation isobar Kelvin-Helmholtz instability kinetic laminar flow large Reynolds numbers large-scale turbulence linear mean velocity method Moscow motion Navier-Stokes equations non-stationary nonlinear numerical simulation numerical solution obtained ocean parameters particles perturbation physical plane present pressure problem radius random Rayleigh-Taylor instability refraction regime Richtmyer-Meshkov instability Russian scale schemes shock wave shown small-scale spatial spectrum stability stage stationary statistical stochastic symmetry three-dimensional tion transition turbulent flows turbulent mixing two-dimensional values vector viscosity vortex vortices wake wave number wavelength xenon