One-dimensional numerical simulations of idealized detonations

被引:44
|
作者
Sharpe, GJ [1 ]
Falle, SAEG [1 ]
机构
[1] Univ Leeds, Dept Appl Math Studies, Leeds LS2 9JT, W Yorkshire, England
关键词
Chapman-Jouguet; stability of detonations; Godunov;
D O I
10.1098/rspa.1999.0355
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper we use a second-order Godunov scheme to perform one-dimensional time-dependent numerical simulations of an idealized Chapman-Jouguet detonation having an Arrhenius form of reaction rate. The evolution of the longitudinal instability is explored for varying activation temperatures and compared to predictions of a linear stability analysis of the steady detonation. We show that, for large enough activation temperature, the detonation propagates in a series of failures followed by reignition, which can lead to the formation of many large pockets of partly burnt fuel. These results are in disagreement with the previous results of He & Lee, although we find that we can reproduce their results when too coarse a numerical grid is used.
引用
收藏
页码:1203 / 1214
页数:12
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