Hysteresis effect in stationary reflection of shock waves

Abstract

The problem of transition between regular and Mach reflection of planar shock waves over straight wedges in steady flows was numerically studied by the DSMC method. It is shown that the transition from regular to Mach reflection takes place, in accordance with the detachment criterion, while the opposite transition occurs at smaller angles. The hysteresis effect was observed at increasing and decreasing shock wave angles.

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

“…Unfortunately, since their study was published in a French journal it has not caught the attention of the relevant scientific community. Ivanov et al [16] conducted independently a direct simulation Monte Carlo (DSMC) based study of the phenomena and confirmed the existence of the hysteresis process. Following their numerical study, which was published in an English journal, many investigators using a variety of numerical codes numerically simulated the hysteresis process.…”

Numerical investigation on three-dimensional shock wave reflection over two perpendicularly intersecting wedges

“…the hysteresis phenomena in steady shock wave reflections [7][8][9][10], and the application of new experimental facilities [11]. However, the previous results are mainly on two-dimensional (2D) cases, and 3D shock wave reflection has not yet been investigated widely.…”

Numerical study of thermochemical effects on the flowfield structure near the triple point at irregular reflection of shock waves

“…Traditionally the parameters around the point of shock intersection were predicted with the gas being considered as an inviscid fluid, for example, by using t three-shock theory [5]. This approach allowed one to describe many features of shock wave reflection such as the hysteresis phenomenon at the transition between regular and Mach reflection of strong shock waves in steady flows [6,7,8]. On the other hand, significant simplification of the flow can induce great discrepancies between theoretical predictions and experimental observations.…”