Abstract
The results of numerical simulations are presented for planar air flows in a bounded volume of square cross section diminishing due to a uniform motion of the walls, for a flow of a propane-air mixture under sinusoidal variation of the size of the square domain, and for three-dimensional supersonic air and propane-air flows in channels of variable square cross section. Specific features of shock-wave processes that are associated with the piston effect and cumulation are established. The hypersonic analogy between planar and spatial flows is confirmed, which allows one to use two-dimensional solutions in estimating three-dimensional flows. The equations of a multicomponent ideal perfect gas and one-stage kinetics of chemical reactions are used to describe the flows. The method of numerical simulations is based on S.K. Godunov’s scheme and implemented within an original software package.
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Original Russian Text © V.A. Levin, I.S. Manuylovich, V.V. Markov, 2013, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Vol. 281, pp. 42–54.
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Levin, V.A., Manuylovich, I.S. & Markov, V.V. Mathematical modeling of shock-wave processes under gas solid boundary interaction. Proc. Steklov Inst. Math. 281, 37–48 (2013). https://doi.org/10.1134/S0081543813040056
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DOI: https://doi.org/10.1134/S0081543813040056