Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations

DOI10.1088/1364-7830/4/4/310zbMath1010.76096OpenAlexW2019890589MaRDI QIDQ4525883

Gary J. Sharpe, Sam A. E. G. Falle

Publication date: 13 May 2003

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1364-7830/4/4/310

zbMATH Keywords

nonlinear oscillationsnonlinear stabilitytruncation errorirreversible reactionhierarchical adaptive second-order Godunov-type schemeidealized pulsating detonation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Finite difference methods applied to problems in fluid mechanics (76M20) Chemically reacting flows (80A32) Reaction effects in flows (76V05)

Related Items (20)

Numerical simulations of pulsating detonations: II. Piston initiated detonations ⋮ The effect of diffusion on the dynamics of unsteady detonations ⋮ Dynamics of planar gaseous detonations near Chapman-Jouguet conditions for small heat release ⋮ Unsteady features on one-dimensional hydrogen-air detonations ⋮ Computational study of non-ideal and mildly-unstable detonation waves ⋮ Linear stability of planar premixed flames: Reactive Navier–Stokes equations with finite activation energy and arbitrary Lewis number ⋮ A hybrid lattice Boltzmann method for gaseous detonations ⋮ The re-initiation mechanism of detonation diffraction in a weakly unstable gaseous mixture ⋮ The role of global curvature on the structure and propagation of weakly unstable cylindrical detonations ⋮ Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations ⋮ Theory of gaseous detonations ⋮ On the dynamics of self-sustained one-dimensional detonations: A numerical study in the shock-attached frame ⋮ Detailed features of one-dimensional detonations ⋮ Applying nonlinear dynamic theory to one-dimensional pulsating detonations ⋮ Simulations of pulsating one-dimensional detonations with true fifth order accuracy ⋮ Nonlinear cellular dynamics of the idealized detonation model: Regular cells ⋮ Detonation initiation on the microsecond time scale: DDTs ⋮ Statistical analysis of cellular detonation dynamics from numerical simulations: one-step chemistry ⋮ Nonlinear cellular instabilities of planar premixed flames: numerical simulations of the Reactive Navier–Stokes equations ⋮ Detonation waves in PBX 9501

Cites Work

• Two-dimensional numerical simulations of idealized detonations
• Theoretical and Numerical Structure for Unstable One-Dimensional Detonations
• Calculation of linear detonation instability: one-dimensional instability of plane detonation
• The structure of planar and curved detonation waves with reversible reactions
• One-dimensional detonation stability: The spectrum for infinite activation energy
• One-dimensional numerical simulations of idealized detonations
• The Relation Between Curvature, Rate State-Dependence, and Detonation Velocity
• On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction
• Linear stability of idealized detonations
• The dynamical limit of one-dimensional detonations
• Linear stability of pathological detonations
• One-dimensional nonlinear stability of pathological detonations
• The chemical-gas dynamic mechanisms of pulsating detonation wave instability
• Stability of Idealized One-Reaction Detonations

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