Abstract
The problem of transition of planar shock waves over straight wedges in steady flows from regular to Mach reflection and back was numerically studied by the DSMC method for solving the Boltzmann equation and finite difference method with FCT algorithm for solving the Euler equations. It is shown that the transition from regular to Mach reflection takes place in accordance with detachment criterion while the opposite transition occurs at smaller angles. The hysteresis effect was observed at increasing and decreasing shock wave angle.
Similar content being viewed by others
References
Azevedo DJ, Liu SL (1993) Engineering approach to the prediction of shock patterns in bounded high-speed flows. AIAA J. 3(1): 83–90
Ben-Dor G (1992) Shock Wave Reflection Phenomena. Springer, New York
Boris JP, Landsberg AM, Oran ES, Gardner JH (1993) LCPFCT-a fluxcorrected transport algorithm for solving generalized continuity equations. NRL Memorandum, Report 6410-93-7192
Courant R, Friedrichs KO (1948) Supersonic flow and shock waves. Wiley Interscience, New York
Hornung HG, Oertel H, Sandeman RJ (1979) Transition to Mach reflection of shock waves in steady and pseudosteady flow with and without relaxation. J. Fluid Mechanics 90: 541–560
Hornung HG, Robinson ML (1982) Transition from regular to Mach reflection of shock waves. Part 2. The steady-flow criterion. J. Fluid Mechanics 123: 155–164
Ivanov MS, Gimelshein SF, Beylich AE (1995) Hysteresis effect in stationary reflection of shock waves. Phys Fluids 7(4): 685–687
Ivanov MS, Rogasinsky SV (1991) Theoretical analysis of traditional and modern schemes of the DSMC method. Proc. 17th Int. Symposium on Rarefied Gas Dynamics, Aachen, Germany, pp. 629–642
Vuillon J, Zeitoun D, Ben-Dor G (1995) Recondiseration of oblique shock wave reflections in steady flows. Part 2: Numerical investigation. J. Fluid Mechanics 301: 37–50
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ivanov, M., Zeitoun, D., Vuillon, J. et al. Investigation of the hysteresis phenomena in steady shock reflection using kinetic and continuum methods. Shock Waves 5, 341–346 (1996). https://doi.org/10.1007/BF02434009
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02434009