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Numerical Modeling of the Initiation of Reacting Shock Waves

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Computational Fluid Dynamics and Reacting Gas Flows

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 12))

Abstract

The transition to detonation in gases is a very complicated multifaceted process. Turbulent mixing, interaction of acoustic waves with underlying chemical reactions, formation of regularly spaced Mach stem structures—this is just a partial list of phenomena taking part in the transition from deflagration to a self-sustained detonation. (See the review article [7] for an experimentalist’s summary). In this paper through carefully documented numerical experiments we investigate one aspect of the transition process which is also related to the direct initiation of reacting shock waves.

Partially supported by research grants A.R.O. #DAAL03–86-K-003, and O.N.R. #N00014–85-K-0507

Partially supported by the National Science Foundation under grant DMS-8603506.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Program for Applied and Computational Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Andrew Majda

  2. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180-3590, USA

    Victor Roytburd

Authors
  1. Andrew Majda
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  2. Victor Roytburd
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, CA, 90024, USA

    Bjorn Engquist

  2. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Andrew Majda

  3. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Mitchell Luskin

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© 1988 Springer-Verlag New York Inc.

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Majda, A., Roytburd, V. (1988). Numerical Modeling of the Initiation of Reacting Shock Waves. In: Engquist, B., Majda, A., Luskin, M. (eds) Computational Fluid Dynamics and Reacting Gas Flows. The IMA Volumes in Mathematics and Its Applications, vol 12. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3882-9_11

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  • DOI: https://doi.org/10.1007/978-1-4612-3882-9_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8388-1

  • Online ISBN: 978-1-4612-3882-9

  • eBook Packages: Springer Book Archive

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