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

@article{Kabanov2017LinearSA, title={Linear stability analysis of detonations via numerical computation and dynamic mode decomposition}, author={Dmitry Kabanov and Aslan R. Kasimov}, journal={arXiv: Fluid Dynamics}, year={2017} }

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…

## 16 Citations

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