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Simulations of Reflected Shock Bifurcation in a Square Channel

Khokhlov, A. and Austin, J. M. and Bacon, C. and Clifford, B. and Knisely, A. and Aithal, S. (2012) Simulations of Reflected Shock Bifurcation in a Square Channel. In: 28th International Symposium on Shock Waves. Vol.2. Springer , Berlin, pp. 625-630. ISBN 978-3-642-25687-5.

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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.

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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.
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0002594
Department of Energy (DOE)DE-AC02-06CH11357
Record Number:CaltechAUTHORS:20140930-093621384
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50115
Deposited By: Tony Diaz
Deposited On:03 Oct 2014 22:37
Last Modified:03 Oct 2019 07:20

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