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CONSIDERATION OF THE MIXING PROCESS HYSTORY IN THE DIRECT NUMERICAL SIMULATION OF TURBULENCE FOR 2D PROBLEMS

Yu. V. Yanilkin, A. R. Guzhova, L. I. Degtyarenko, V. Yu. Kolobyanin, V. A. Shmelyev
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. Вып.1. С. 3-15.

The paper offers a new approach to the direct numerical simulation of the turbulent mixing process for miscible and immiscible materials of different densities. The idea of this approach is that in mixed cells containing intermixing materials the states of homogeneous and heterogeneous mixtures consisting of fragments with interfaces are distinguished. The method of solving 2D problems developed to implement this approach in the EGAK code is described. The method is verified on the classic problem of turbulent mixing due to the Rayleigh-Taylor instability under the steady acceleration of the interface between two gases of different densities.

Keywords: Rayleigh-Taylor instability, turbulent mixing area, direct numerical simulation, homogeneous mixing degree, the EGAK code.








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