Abstract
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 and Lee, although we find that we can reproduce their results when too coarse a numerical grid is used.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
