Geodesic
Method of direct numerical simulation of turbulence with the account for the process history
Matematičeskoe modelirovanie, Tome 35 (2023) no. 7, pp. 41-62

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The paper offers a new approach to the direct numerical simulation of turbulent mixing of miscible and immiscible materials different in density. The idea of the approach is in separation of homogeneous mixtures the mixed cells with miscible materials from heterogeneous ones containing the fragments with contact boundaries. The article describes a 2D technique developed in EGDC (Euler Gas Dynamics with Concentrations) code to realize the approach described above. The method is verified using a classical problem of turbulent mixing as a result of Rayleigh-Taylor instability at constant acceleration of the contact boundary between two gases of different density.
Keywords: Rayleigh-Taylor instability, a turbulence mixing zone, direct numerical simulation, degree of homogeneous mixing, EGDC method. 
@article{MM_2023_35_7_a3,
     author = {Yu. V. Yanilkin and A. R. Guzhova and L. I. Degtyarenko and V. Yu. Kolobyanin and V. A. Shmelev},
     title = {Method of direct numerical simulation of turbulence with the account for the process history},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {41--62},
     publisher = {mathdoc},
     volume = {35},
     number = {7},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2023_35_7_a3/}
}
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Yu. V. Yanilkin; A. R. Guzhova; L. I. Degtyarenko; V. Yu. Kolobyanin; V. A. Shmelev. Method of direct numerical simulation of turbulence with the account for the process history. Matematičeskoe modelirovanie, Tome 35 (2023) no. 7, pp. 41-62. http://geodesic.mathdoc.fr/item/MM_2023_35_7_a3/