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

Source: [Linear stability analysis of detonations via numerical computation and dynamic mode decomposition](<https://www.sota2.com/research/paper/68fa37891e209131ce8b3237>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:28:01.992Z

Authors: Dmitry I. Kabanov, Aslan R. Kasimov

Published: 2017-12-08T20:40:59.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1712.03276>)

[PDF](<https://arxiv.org/pdf/1712.03276.pdf>)