TY - GEN
T1 - Multidomain spectral collocation method for three-dimensional perturbations in idealized CJ detonations
AU - Chiquete, Carlos
AU - Tumin, Anatoli
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:84946030233
T3 - Fall Technical Meeting of the Western States Section of the Combustion Institute 2009, WSS/CI 2009 Fall Meeting
SP - 457
EP - 465
BT - Fall Technical Meeting of the Western States Section of the Combustion Institute 2009, WSS/CI 2009 Fall Meeting
PB - Western States Section/Combustion Institute
T2 - Fall Technical Meeting of the Western States Section of the Combustion Institute 2009, WSS/CI 2009
Y2 - 26 October 2009 through 27 October 2009
ER -