Mathematical modeling of shock-wave processes under gas-solid boundary interaction

作者：Levin V A^*; Manuylovich I S; Markov V V

来源：Proceedings of the Steklov Institute of Mathematics, 2013, 281(1): 37-48.

DOI：10.1134/S0081543813040056

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.

• 出版日期2013-6