Geodesic
Application of the CABARET algorithm for modeling turbulent mixing on the example of the Richtmyer--Meshkov instability
Matematičeskoe modelirovanie, Tome 30 (2018) no. 8, pp. 3-16

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Using previously constructed by authors CABARET algorithm for multicomponent gas mixtures movement calculation, a numerical simulation of a physical instability, emerging during the passage of a shock wave through initially resting boundary between gaseous media with different physical properties, followed by turbulization of the flow in flat geometry. Simulation of two problems is carried out: the passage of a shock wave through a rectangular subdomain filled with heavy gas and the development of Richtmyer–Meshkov instability during the passage of a shock wave through the sinusoidal interface between the media. A comparison of the evolution of the mixing zone width with the experimental, theoretical and numerical results of other authors is conducted.
Mots-clés : CABARET scheme
Keywords: turbulent mixing, Richtmyer–Meshkov instability. 
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     author = {A. V. Danilin and A. V. Solovjev},
     title = {Application of the {CABARET} algorithm for modeling turbulent mixing on the example of the {Richtmyer--Meshkov} instability},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {30},
     number = {8},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_8_a0/}
}
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A. V. Danilin; A. V. Solovjev. Application of the CABARET algorithm for modeling turbulent mixing on the example of the Richtmyer--Meshkov instability. Matematičeskoe modelirovanie, Tome 30 (2018) no. 8, pp. 3-16. http://geodesic.mathdoc.fr/item/MM_2018_30_8_a0/