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

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.

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Cited by in corpus (6)

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• Data-Driven Surrogates of Rotating Detonation Engine Physics with Neural ODEs and High-Speed Camera Footage
• Detonation modeling with the Particles on Demand method
• A minimal hyperbolic system for unstable shock waves
• Multiplicity of detonation regimes in systems with a multi-peaked thermicity
• On the two separate decay time scales of a detonation wave modelled by the Burgers equation and their relation to its chaotic dynamics