The reflection of asymmetric shock waves in steady flows: a numerical investigation

Abstract

The theoretical study and experimental investigation of the reflection of asymmetric shock waves in steady flows reported by Li et al. (1999) are complemented by a numerical simulation. All the findings reported in both the theoretical study and the experimental investigation were also evident in the numerical simulation. In addition to weak regular reflection and Mach reflection wave configurations, strong regular reflection and inverse-Mach reflection wave configurations were recorded numerically. The hysteresis phenomenon, which was hypothesized in the course of the theoretical study and then verified in the experimental investigation, was also observed in the numerical simulation.

Hysteresis processes in the regular reflection↔Mach reflection transition in steady flows

“…The reflection process of asymmetric shock waves was investigated experimentally by Chpoun and Lengrand [33], both analytically and experimentally by Li et al [34] and numerically by Ivanov et al [35].…”

“…Ivanov et al [35] numerically investigated the justmentioned wedge-angle-variation-induced hysteresis. Numerical simulations of the above-mentioned two different sequences of events, which were obtained by Ivanov et al [35] horizontal pair of the frames are the same.…”

“…Numerical simulations of the above-mentioned two different sequences of events, which were obtained by Ivanov et al [35] horizontal pair of the frames are the same. Hence, the wedge-angle-variation-induced hysteresis is clearly seen in these figures.…”

Trends in the development of detonation engines for high-speed aerospace aircrafts and the problem of triple configurations of shock waves. Part II - Research of counterpropagating shock waves and triple shock wave configurations

“…Стоит отметить их со-вместную работу [125], в которой изучались асимметричные случаи взаимодействия встречных скачков и были изложены все основные факты, известные на тот момент. В этих работах было показано, что гис-терезис существует как при изменении угла клина, так и при изменении числа Маха.…”

Asymmetrical interference of counter oblique shock waves

“…Усковым [14]. Стоит отметить совместную работу сотрудников Института теоретической и прикладной механики СО РАН и Бен-Дора [15], в которой изучались асимметричные случаи взаимодействия встречных скачков.…”