Flow-Mach-number-induced hysteresis phenomena in the interaction of conical shock waves – a numerical investigation

Abstract

A flow-Mach-number-induced hysteresis phenomenon, in the shock-on-shock interaction of conical shock waves, is investigated numerically, by solving the Euler equations, using a W-modification of the non-stationary Godunov method with second-order accuracy both in space and time. The investigation reveals a multi-path hysteresis loop. It is shown that there are flow Mach number ranges in which three different wave configurations can be obtained for identical flow conditions. This study complements an earlier study by Ben-Dor et al. (2001) in which an angle-ofincidence-induced hysteresis was investigated both numerically and experimentally over a similar geometry. Based on the experimental findings of Ben-Dor et al.'s (2001) study, it is hypothesized that, in fact, four different wave configurations, three inviscid and one viscous, can be obtained for identical flow conditions. Since the geometry under investigation resembles supersonic intakes, this finding is relevant to their performance in supersonic/hypersonic flight.

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

“…Ben-Dor et al [40] numerically investigated the flowMach-number-variation-induced hysteresis process in the interactions of conical shock wave over the axisymmetric geometry shown in Fig. 14.…”

“…While loop A involved both oRR and oMR wave configurations loop B involved only oMR wave configurations that were associated with different flow patterns. More details regarding the wave configurations associated with hysteresis loops A and B can be found in Ben-Dor et al [40].…”

“…This in turn results in a situation in which there is a flowMach-number range for which three stationary wave configurations, one oRR and two oMRs, are possible. More details regarding the wave configurations associated with the hysteresis loops A and B can be found in Ben-Dor et al [40]. [40].…”

“…More details regarding the wave configurations associated with the hysteresis loops A and B can be found in Ben-Dor et al [40]. [40].…”

Interference of counterpropagating shock waves

“…Бен-Дор, Т. Ельперин и Е.И. Васильев изучили с помо-щью численных методов гистерезис при взаимодействии конических скачков [14].…”