One-dimensional numerical simulations of idealized detonations

DOI10.1098/RSPA.1999.0355zbMath0929.76143OpenAlexW2099717733MaRDI QIDQ4259351

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

Publication date: 2 February 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0355

zbMATH Keywords

linear stability analysisChapman-Jouguet detonationsecond-order Godunov schemelongitudinal instabilityArrhenius form of reaction ratelarge pockets of partly burnt fuel

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items (12)

Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations ⋮ Numerical simulations of pulsating detonations: II. Piston initiated detonations ⋮ Unsteady features on one-dimensional hydrogen-air detonations ⋮ The instability of steady-state flows with a Chapman-Jouguet detonation wave in a channel of variable cross-section ⋮ Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations ⋮ On the dynamics of self-sustained one-dimensional detonations: A numerical study in the shock-attached frame ⋮ Detailed features of one-dimensional detonations ⋮ Numerical investigation of the instability for one-dimensional Chapman–Jouguet detonations with chain-branching kinetics ⋮ Applying nonlinear dynamic theory to one-dimensional pulsating detonations ⋮ On the dynamics of pulsating detonations ⋮ Detonation initiation on the microsecond time scale: DDTs ⋮ Statistical analysis of cellular detonation dynamics from numerical simulations: one-step chemistry

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