Geodesic
Mathematical modeling of the interaction of a single supersonic jet with obstacles
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 63 (2020), pp. 87-101

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The paper presents the results of mathematical modeling of the supersonic single jet interaction with obstacles. The calculations are performed using the developed solver based on Godunov's scheme and the method of linear reconstruction of solution in the OpenFOAM software package. The modified solver is tested on the problem of the supersonic jet interaction with a flat obstacle in the steady-state and self-oscillating modes. The calculated results on jets' structure and pressure distribution on the obstacle under a shock wave are in a good agreement with experimental and theoretical data of other authors. The interaction of the supersonic jet with obstacles is studied at a Mach number of 4 in the nozzle exit section. The angle of inclination of the flat surface and the shape of the curved surface are varied in the parametric studies. It is shown that with an increase in the angle of inclination of the flat obstacle, the maximum pressure increases, and the self-oscillating mode changes to a steady-state one. Pressure distributions along the curved obstacles with an angle of 5 and 1o degrees differ in pattern and level from those along the flat horizontal obstacles.
Keywords: OpenFOAM, mathematical modeling, gas dynamics, Godunov method, supersonic jet, OpenFOAM. 
@article{VTGU_2020_63_a7,
     author = {A. A. Glazunov and A. M. Kagenov and K. V. Kostushin and I. V. Eremin and V. A. Kotonogov and K. L. Aligasanova},
     title = {Mathematical modeling of the interaction of a single supersonic jet with obstacles},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {87--101},
     publisher = {mathdoc},
     number = {63},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2020_63_a7/}
}
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%A A. M. Kagenov
%A K. V. Kostushin
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%A K. L. Aligasanova
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A. A. Glazunov; A. M. Kagenov; K. V. Kostushin; I. V. Eremin; V. A. Kotonogov; K. L. Aligasanova. Mathematical modeling of the interaction of a single supersonic jet with obstacles. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 63 (2020), pp. 87-101. http://geodesic.mathdoc.fr/item/VTGU_2020_63_a7/