Stability of idealized one-reaction detonations revisited

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

It is shown that the discrete spectrum stemming from the solution of the initial-value problem for an idealized one-reaction detonation is equivalent to the spectrum of the conventional normal-mode approach. Solution of the initial-value problem also leads to a method for expanding the perturbation field into modes of discrete and continuous spectra. In addition, it gives a convenient tool to predict initial amplitudes of the unstable modes depending on the initial perturbation. A multi-domain spectral collocation method is utilized for analysis of the discrete spectrum. The method provides an efficient tool for computation of the eigenvalue map in studies of the stability of detonations.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages11969-11996
Number of pages28
ISBN (Print)1563478900, 9781563478901
DOIs
StatePublished - 2007
Event45th AIAA Aerospace Sciences Meeting 2007 - Reno, NV, United States
Duration: Jan 8 2007Jan 11 2007

Publication series

NameCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Volume17

Other

Other45th AIAA Aerospace Sciences Meeting 2007
CountryUnited States
CityReno, NV
Period1/8/071/11/07

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

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  • Cite this

    Tumin, A. (2007). Stability of idealized one-reaction detonations revisited. In Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting (pp. 11969-11996). (Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting; Vol. 17). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2007-987