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Numerical investigation of shock wave attenuation in channels using water obstacles

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Abstract

Here, short duration direct numerical simulations of shock water cylinder interaction in a two-dimensional channel are conducted to study shock wave attenuation at time scales smaller than the cylinder convection time. Four different cylinder configurations, i.e., 1 \(\times \) 1, 2 \(\times \) 2, 3 \(\times \) 3, and 4 \(\times \) 4, are considered, where the total volume of water is kept constant throughout all the cases. Meanwhile, the incident shock Mach number was varied from 1.1 to 1.4. The physical motion of the water cylinders is quantitatively studied. Results show that the center-of-mass velocity increases faster for the cases with more cylinders. In the early stage of breakup, the transfer rate of kinetic energy from the shock-induced flow to the water cylinders increases as the number of cylinders increases. Further, comparing the cases of different incident shock Mach numbers, higher center-of-mass velocity is induced for the cases of lower incident shock Mach numbers. Moreover, the pressure and impulse changes upstream and downstream of the cylinder matrices are tracked as a quantitative evaluation of the shock attenuation.

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Acknowledgements

The authors would like to thank the High Performance Computing Center at University of Southern California for providing free access to computing resources.

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Author notes

  1. Qian Wan

    Present address: Institute of Manned Space System Engineering, China Academy of Space Technology, Beijing, 100094, China

Authors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA, 90089-1189, USA

    Qian Wan

  2. Aerodynamics and Flight Mechanics Research Group, University of Southampton, Southampton, SO17 1BJ, UK

    Ralf Deiterding

  3. Department of Structural Engineering, University of California, San Diego, La Jolla, CA, 92093-0085, USA

    Veronica Eliasson

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  1. Qian Wan
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  2. Ralf Deiterding
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  3. Veronica Eliasson
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Correspondence to Veronica Eliasson.

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This study was supported by the National Science Foundation (NSF) under Grant no. CBET-1437412.

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Wan, Q., Deiterding, R. & Eliasson, V. Numerical investigation of shock wave attenuation in channels using water obstacles. Multiscale and Multidiscip. Model. Exp. and Des. 2, 159–173 (2019). https://doi.org/10.1007/s41939-018-00041-y

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