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Geometry of the transition criterion of shock wave reflection over a wedge

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Abstract

The hysteresis phenomena of shock wave reflection observed during recent numerical and experimental investigations are analyzed in this paper using dynamical system theory. It is found through the analysis that the geometry of the transition criterion of shock wave reflection over a wedge has the shape of a butterfly. Knowledge of the geometry can provide important information on the hysteresis behavior of shock wave reflection. The geometry of the transition criterion can be used not only for the explanation of already known hysteresis behavior of shock wave reflection, but also for the prediction of novel hysteresis phenomena.

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Acknowledgments

This research work is funded by the National Natural Science Foundation of China (Grant No. 11072071), Special Fund of Harbin Technological Innovation (No. RC2011QN003017) and National Natural Science Funds for Distinguished Young Scholars (Grant No. 50925625).

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Authors and Affiliations

  1. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China

    T. Cui, X. Jiao & D. Yu

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  1. T. Cui
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  2. X. Jiao
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  3. D. Yu
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Correspondence to T. Cui.

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Communicated by O. Igra and H. Kleine.

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Cui, T., Jiao, X. & Yu, D. Geometry of the transition criterion of shock wave reflection over a wedge. Shock Waves 25, 23–34 (2015). https://doi.org/10.1007/s00193-014-0535-2

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