Linear stability analysis of detonations via numerical computation and dynamic mode decomposition
Fluid Dynamics
2018-04-18 v1 Computational Physics
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.
Cite
@article{arxiv.1712.03276,
title = {Linear stability analysis of detonations via numerical computation and dynamic mode decomposition},
author = {Dmitry I. Kabanov and Aslan R. Kasimov},
journal= {arXiv preprint arXiv:1712.03276},
year = {2018}
}