# Review of Multiscale Modeling of Detonation

@article{Powers2006ReviewOM, title={Review of Multiscale Modeling of Detonation}, author={Joseph M. Powers}, journal={Journal of Propulsion and Power}, year={2006}, volume={22}, pages={1217-1229} }

Issues associated with modeling the multiscale nature of detonation are reviewed, and potential applications to detonation-driven propulsion systems are discussed. It is suggested that a failure of most existing computations to simultaneously capture the intrinsic microscales of the underlying continuum model along with engineering macroscales could in part explain existing discrepancies between numerical predictions and experimental observation. Mathematical and computational strategies for…

## 55 Citations

Verified calculation of nonlinear dynamics of viscous detonation

- Physics
- 2011

It is a common notion in detonation theory that the effects of diffusion can be neglected in comparison to those of reaction and advection [1][8]. However, there are indic ations that such an…

Preliminary Investigation into the Influence of Transverse Waves in PDEs Simulations

- Physics
- 2006

Pulse detonation engines (PDEs) are inherently difficult to model due to the large disparity in length scales presented in the problem. Calculations using the Zeldovich-von Neumann-Doring (ZND)…

The effect of diffusion on the dynamics of unsteady detonations

- PhysicsJournal of Fluid Mechanics
- 2012

Abstract The dynamics of a one-dimensional detonation predicted by a one-step irreversible Arrhenius kinetic model are investigated in the presence of mass, momentum and energy diffusion. A study is…

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…

The Effect of Chemical Reactivity on the Formation of Gaseous Oblique Detonation Waves

- PhysicsAerospace
- 2019

High-fidelity numerical simulations using a Graphics Processing Unit (GPU)-based solver are performed to investigate oblique detonations induced by a two-dimensional, semi-infinite wedge using an…

Verified and validated calculation of unsteady dynamics of viscous hydrogen–air detonations

- Physics, EngineeringJournal of Fluid Mechanics
- 2015

The dynamics of one-dimensional, piston-driven hydrogen–air detonations are predicted in the presence of physical mass, momentum and energy diffusion. The calculations are automatically verified by…

Reynolds Number Effects on the Structure and Stability of Highly Unstable Detonation Wave

- Physics
- 2011

There have been many numerical simulations conducted to comprehend the unstable detonations. Shephered emphasized recently the role of turbulence on gaseous detonation [1] and summarized the…

Evolution of detonation formation initiated by a spatially distributed, transient energy source

- PhysicsJournal of Fluid Mechanics
- 2016

Detonations usually form through either direct initiation or deflagration-to-detonation transition (DDT). In this work, a detonation initiation process is introduced that shows attributes from each…

## References

SHOWING 1-10 OF 159 REFERENCES

Pulsed detonation engine. Numerical study

- Physics
- 2000

A renewal of interest to study the possibilities of using the gas detonation as a thrust - producing mechanism has been observed during the last ten years. This interest can be motivated by the wide…

Numerical Simulation of a Pulse Detonation Engine with Hydrogen Fuels

- Engineering
- 2002

The present computational study explores some issues concerning the operational performance of pulse detonation engines (PDE) with hydrogen/oxygen propellants. One- and two-dimensional, transient…

Numerical Investigation of Deflagration to Detonation Transitions

- Engineering
- 2002

Transitions from deflagration to detonations are studied. A model consisting of the Navier-Stokes equation and a one-step reaction equation is used. Arrhenius kinetics are utilized, and the diffusive…

Cellular detonation stability. Part 1. A normal-mode linear analysis

- PhysicsJournal of Fluid Mechanics
- 1998

A detailed investigation of the hydrodynamic stability to transverse linear disturbances of a steady, one-dimensional detonation in an ideal gas undergoing an irreversible, unimolecular reaction with…

Calculation of linear detonation instability: one-dimensional instability of plane detonation

- PhysicsJournal of Fluid Mechanics
- 1990

The detonation stability problem is studied by a normal mode approach which greatly simplifies the calculation of linear instability of detonation in contrast to the Laplace transform procedure used…

Pulsating one-dimensional detonations in hydrogen–air mixtures

- Engineering, Physics
- 2004

The propagation of one-dimensional detonations in hydrogen–air mixtures is investigated numerically by solving the one-dimensional Euler equations with detailed finite-rate chemistry. The numerical…

A numerical study of detonation diffraction

- PhysicsJournal of Fluid Mechanics
- 2005

An investigation of detonation diffraction through an abrupt area change has been carried out via a set of two-dimensional numerical simulations parameterized by the activation energy of the…

The role of unsteadiness in direct initiation of gaseous detonations

- Physics, EngineeringJournal of Fluid Mechanics
- 2000

An analytical model is presented for the direct initiation of gaseous detonations by a blast wave. For stable or weakly unstable mixtures, numerical simulations of the spherical direct initiation…