Dynamics of a turbulent mixing zone in a turbulized stratified medium
N.P. Moshkin1, A.V. Fomina2, G.G. Chernykh3
1Lavrentév Institute of Hydrodynamics SB RAS, Novosibirsk, Russia
2Kemerovo State University Kuzbass Humanitarian Pedagogical Institute, Novokuznetsk, Russia
3Federal Research Center for Information and Computational Technologies, Novosibirsk, Russia
Keywords: turbulent mixing zone, turbulized homogeneous and stratified fluids, semi-empirical turbulence models, internal wave, numerical modeling
Abstract
Using a numerical model that includes a system of averaged hydrodynamic equations in the Oberbeck-Boussinesq approximation, differential equations for the Reynolds stress transfer and dissipation rate, a numerical model of the evolution of a flat turbulent spot in a turbulent stratified medium (degenerate background turbulence) is constructed. The components of the mass flux vector and the variance of density fluctuations are found from algebraic presentations of the local equilibrium approximation. Numerical modeling of the evolution of the turbulent mixing zone and the internal waves generated by this zone in a turbulent linearly stratified medium is performed. The calculation results demonstrate a significant effect of background turbulence on the development of the turbulent spot and internal waves generated by the spot. A large-scale turbulent background leads to generation of internal waves of significantly lower amplitude.
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