# On a stabilization mechanism for low velocity detonations

## TL;DR

This paper investigates the nonlinear stability of gaseous detonations with heat and momentum losses using numerical simulations, proposing a stabilization mechanism linked to a family of steady solutions.

## Contribution

It introduces a new stabilization mechanism for low velocity detonations based on the existence of a solution family in reactive Euler equations.

## Key findings

- Identification of a stabilization mechanism for low velocity detonations.
- Numerical evidence supporting the role of solution families in stability.
- Analysis of the effects of heat and momentum losses on detonation stability.

## Abstract

We use numerical simulations of the reactive Euler equations to analyze the nonlinear stability of steady-state one-dimensional solutions for gaseous detonations in the presence of both momentum and heat losses. Our results point to a possible stabilization mechanism for the low velocity detonations in such systems. The mechanism stems from the existence of a one-parameter family of solutions found in Semenko et al. (Shock Waves 26 (2), 141-160, 2016).