Multidomain spectral collocation method for three-dimensional perturbations in idealized CJ detonations

Carlos Chiquete, Anatoli Tumin

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

1 Scopus citations

Abstract

The spectral collocation method for stability analysis of detonations allows computing the eigenvalue map for unstable modes. A multidomain version of the method provides more control over the distribution of the collocation points throughout the reaction zone. In the case of three-dimensional perturbations, the radiation condition that is usually used in the stability analysis is a nonlinear function of the eigenvalue, and it could not be incorporated explicitly into the spectral method. Recent rigorous asymptotic analysis of stability of detonations for an idealized condensed-phase model by M. Short et al. (JFM, 2008, Vol. 595, pp. 45-82) provides the radiation condition for three-dimensional perturbations that is a linear function of the eigenvalue for CJ detonations. The latter allows a direct inclusion of the radiation condition into the spectral method. In the present work, details of the multi-domain spectral collocation method for CJ detonations are discussed. The results are illustrated by computations of eigenvalue maps for three-dimensional perturbations in gaseous and condensed-phase idealized one-dimensional detonations.

Original languageEnglish (US)
Title of host publicationFall Technical Meeting of the Western States Section of the Combustion Institute 2009, WSS/CI 2009 Fall Meeting
PublisherWestern States Section/Combustion Institute
Pages457-465
Number of pages9
Volume1
ISBN (Print)9781615676507
StatePublished - 2009
EventFall Technical Meeting of the Western States Section of the Combustion Institute 2009, WSS/CI 2009 - Irvine, United States
Duration: Oct 26 2009Oct 27 2009

Other

OtherFall Technical Meeting of the Western States Section of the Combustion Institute 2009, WSS/CI 2009
Country/TerritoryUnited States
CityIrvine
Period10/26/0910/27/09

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Physical and Theoretical Chemistry
  • Mechanical Engineering

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