naa a22 4500 51081235X CHVBK 20180411083448.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1134/S0081543813040056 doi (NATIONALLICENCE)springer-10.1134/S0081543813040056 Mathematical modeling of shock-wave processes under gas solid boundary interaction [Elektronische Daten] [V. Levin, I. Manuylovich, V. Markov] 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. Pleiades Publishing, Ltd., 2013 Levin V. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut Manuylovich I. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut Markov V. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991, Moscow, Russia aut Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 37-48 0081-5438 281:1<37 2013 281 11501 https://doi.org/10.1134/S0081543813040056 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813040056 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Levin V. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut NATIONALLICENCE 700 1- Manuylovich I. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut NATIONALLICENCE 700 1- Markov V. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991, Moscow, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 37-48 0081-5438 281:1<37 2013 281 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer