# Nonlinear cellular dynamics of the idealized detonation model: Regular cells

@article{Sharpe2008NonlinearCD, title={Nonlinear cellular dynamics of the idealized detonation model: Regular cells}, author={Gary J. Sharpe and James J. Quirk}, journal={Combustion Theory and Modelling}, year={2008}, volume={12}, pages={1 - 21} }

High-resolution numerical simulations of cellular detonations are performed using a parallelized adaptive grid solver, in the case where the channel width is very wide. In particular, the nonlinear response of a weakly unstable Zeldovich–Neumann–Doering (ZND) detonation to two-dimensional perturbations is studied in the context of the idealized one-step chemistry model. For random perturbations, cells appear with a characteristic size in good agreement with that corresponding to the maximum…

## 26 Citations

### Numerical Simulation of Cellular Structure of Weak Detonation and Evaluation of Linear Stability Analysis Predictions

- Physics
- 2013

Abstract This paper investigates the development of cellular structures created by the propagation of a detonation wave in a gaseous mixture. Two dimensional reactive Euler equations with an…

### Numerical Study of Gaseous Detonation Propagation Across a Density Interface

- Physics, Engineering
- 2017

The transient, multi-dimensional cellular structure of the detonation has been well observed both experimentally and numerically [1]. However, due to various instability features and interaction…

### Numerical simulations of cellular detonation diffraction in a stable gaseous mixture

- Physics, Engineering
- 2016

### Statistical analysis of cellular detonation dynamics from numerical simulations: one-step chemistry

- Physics
- 2011

In this paper, two methods are developed for statistically analysing the nonlinear cellular dynamics from numerical simulations of gaseous detonations, one use of which is the systematic…

### The influence of the cellular instability on lead shock evolution in weakly unstable detonation

- Biology, Physics
- 2013

### Numerical study on unstable surfaces of oblique detonations

- PhysicsJournal of Fluid Mechanics
- 2014

Abstract In this study, the onset of cellular structure on oblique detonation surfaces is investigated numerically using a one-step irreversible Arrhenius reaction kinetic model. Two types of oblique…

### Numerical Simulations of Detonation Re-initiation Behind an Obstacle

- Physics
- 2013

This numerical study explored the mechanisms responsible for the re-initiation of a detonation, which quenched while diffracting over a half-cylinder obstacle. The purpose of the study was to make…

### Mach reflection bifurcations as a mechanism of cell multiplication in gaseous detonations

- Engineering
- 2011

### Multiplicity for idealized rotational detonation waves

- EngineeringPhysics of Fluids
- 2021

Simulations of three-dimensional rotational detonation waves are conducted to understand the mechanisms of wave bifurcation. A compressible reacting Euler solver is developed within the framework of…

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