Linear stability analysis of detonations via numerical computation and dynamic mode decomposition

Dmitry Kabanov, Aslan R. Kasimov

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We introduce a new method to investigate linear stability of gaseous detonations that is based on an accurate shock-fitting numerical integration of the linearized reactive Euler equations with a subsequent analysis of the computed solution via the dynamic mode decomposition. The method is applied to the detonation models based on both the standard one-step Arrhenius kinetics and two-step exothermic-endothermic reaction kinetics. Stability spectra for all cases are computed and analyzed. The new approach is shown to be a viable alternative to the traditional normal-mode analysis used in detonation theory.
Original languageEnglish (US)
Pages (from-to)036103
JournalPhysics of Fluids
Volume30
Issue number3
DOIs
StatePublished - Mar 20 2018

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