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Large-Scale Computation of Direct Initiation of Cylindrical Detonations

  • H. Shen
  • M. Parsani
Conference paper

Abstract

We investigate the direct initiation of cylindrical detonations in free space by performing large-scale computations on a supercomputer. The two-dimensional (2D) compressible reactive Euler equations with a one-step chemical reaction model are solved by a well-validated upwind CE/SE scheme using up to 1.6 billion mesh points. Numerical results imply that one-dimensional (1D) approaches can only interpret the direct initiation mechanism of stable detonations. Inherent multi-dimensional instabilities have a significant influence on the direct initiation of unstable detonations. On one hand, multi-dimensional instabilities make the detonation more unstable and increase the risk of failure of the detonation. On the other hand, the collision of transverse waves generated from multi-dimensional instabilities leads to the initiation of local overdriven detonations that can enhance the overall self-sustainability of the global process. The competition between these two effects is an important mechanism to interpret the direct initiation of multi-dimensional detonations.

Notes

Acknowledgment

The authors are thankful for the computing resources of the Supercomputing Laboratory and the Extreme Computing Research Center at King Abdullah University of Science and Technology.

References

  1. 1.
    J.H.S. Lee, Annu. Rev. Fluid Mech. 16, 311 (1984)CrossRefGoogle Scholar
  2. 2.
    Y.B. Zeldovich, S.M. Kogarko, N.N. Simonov, Sov. Phys. Tech. Phys. 1, 1689 (1956)Google Scholar
  3. 3.
    L.T. He, P. Clavin, J. Fluid Mech. 277, 227 (1994)MathSciNetCrossRefGoogle Scholar
  4. 4.
    C.A. Eckett, J.J. Quirk, J.E. Shepherd, J. Fluid Mech. 421, 147 (2000)MathSciNetCrossRefGoogle Scholar
  5. 5.
    H. Shen, C.-Y. Wen, D.L. Zhang, J. Comput. Phys. 288, 101 (2015)MathSciNetCrossRefGoogle Scholar
  6. 6.
    H. Shen, C.-Y. Wen, J. Comput. Phys. 305, 775 (2016)MathSciNetCrossRefGoogle Scholar
  7. 7.
    H. Shen, C.-Y. Wen, M. Parsani, C.-W. Shu, J. Comput. Phys. 330, 668 (2017)MathSciNetCrossRefGoogle Scholar
  8. 8.
    W. Fickett, W.C. Davis, Detonation (University of California Press, Berkeley, 1979)Google Scholar
  9. 9.
    H.I. Lee, D.S. Stewart, J. Fluid Mech. 216, 103 (1990)CrossRefGoogle Scholar
  10. 10.
    K. Mazaheri, PhD thesis, McGill University, Montreal, Canada, 1997Google Scholar
  11. 11.
    H. Shen, M. Parsani, J. Fluid Mech. 813, R4 (2017)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • H. Shen
    • 1
  • M. Parsani
    • 1
  1. 1.Extreme Computing Research Center (ECRC) Computer, Electrical and Mathematical Sciences & Engineering (CEMSE)King Abdullah University of Science and Technology (KAUST)ThuwalSaudi Arabia

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