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Published 2012 | public
Book Section - Chapter

Simulations of Reflected Shock Bifurcation in a Square Channel


Reflected shock interaction with an incoming boundary layer produces a complex, unsteady, three-dimensional flow field. Shock bifurcation, formation of recirculation bubbles, and turbulent jets are all observed and have been extensively studied experimentally ([1, 2, 3, 4, 5, 6]). The details of the reflection are known to depend on the inflow conditions, including the boundary layer behind the incident shock, and the wall boundary conditions. Reflected shock tube experiments have been conducted in shock tubes with both circular and rectangular cross-sections. There is experimental and numerical evidence that the bifurcated structure is substantially more complex near the corners of a rectangular tube as compared to the bifurcated structure on the centerline of a rectangular tube or in a round tube ([7, 8]). In this study, we present and analyze results of three-dimensional Navier-Stokes direct numerical simulations (DNS) of shock reflection in a square channel for three different incident shock Mach numbers. Key features of the present simulations are very high resolution inside the boundary layer and temperature-dependent material and transport properties. We compare and contrast our results as a function of the incident shock Mach number with the existing theoretical model of Mark [1]. The simulations reveal additional flow features in the recirculation and corner regions that are not captured by the model.

Additional Information

© 2012 Springer. The authors gratefully acknowledge the joint funding provided by the ASCR and the BES divisions of the DOE Office of Science DE-SC0002594 with managers Dr Mark Pederson, Dr Randall Laviolette (current), Dr Lali Chatterjee (former), and the resources of the Argonne Leadership Computing Facility under DE-AC02- 06CH11357. AK acknowledges partial NSF support under AST-0709181 and TGAST090074 grants.

Additional details

August 19, 2023
October 17, 2023