Stability of Idealized One-Reaction Detonations
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Publication:5736869
DOI10.1063/1.1711269zbMath0123.42901OpenAlexW2091086094MaRDI QIDQ5736869
Publication date: 1964
Published in: The Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1711269
Related Items (55)
Recent Results on Stability of Planar Detonations ⋮ Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations ⋮ A stability index for detonation waves in Majda's model for reacting flow ⋮ The effect of diffusion on the dynamics of unsteady detonations ⋮ Initial-value problem for small disturbances in an idealized one-dimensional detonation ⋮ Unsteady features on one-dimensional hydrogen-air detonations ⋮ Multidimensional stability analysis of gaseous detonations near Chapman–Jouguet conditions for small heat release ⋮ Mode selection in weakly unstable two-dimensional detonations ⋮ Triple-point shear layers in gaseous detonation waves ⋮ Unsplit schemes for hyperbolic conservation laws with source terms in one space dimension ⋮ Linear stability of a detonation wave with a model three-step chain-branching reaction ⋮ Calculation of linear detonation instability: one-dimensional instability of plane detonation ⋮ The structure of a steady high-speed deflagration with a finite origin ⋮ Low-Frequency Multidimensional Instabilities for Reacting Shock Waves ⋮ High order weighted essentially non-oscillation schemes for two-dimensional detonation wave simulations ⋮ Stability of ZND detonations for Majda’s model ⋮ Detonation waves and the front tracking method ⋮ Global entropy solutions to exothermically reacting, compressible Euler equations ⋮ Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions ⋮ Effect of spatial discretization of energy on detonation wave propagation ⋮ Stability of cellular wave structures in oscillatory pattern-forming systems near onset ⋮ Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall ⋮ Hydrodynamic bidimensional stability of detonation wave solutions for reactive mixtures ⋮ Cell structure and stability of detonations with a pressure-dependent chain-branching reaction rate model ⋮ Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations ⋮ Effect of reaction order on stability of planar detonation waves ⋮ Stability and nonlinear dynamics of one-dimensional overdriven detonations in gases ⋮ On the viscous boundary layer of weakly unstable detonations in narrow channels ⋮ Detailed features of one-dimensional detonations ⋮ Efficient numerical stability analysis of detonation waves in ZND ⋮ Numerical investigation of the instability for one-dimensional Chapman–Jouguet detonations with chain-branching kinetics ⋮ A numerical study of 2D detonation waves with adaptive finite volume methods on unstructured grids ⋮ The role of the induction zone on the detonation–turbulence linear interaction ⋮ Applying nonlinear dynamic theory to one-dimensional pulsating detonations ⋮ Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls ⋮ On the two-dimensional instability of square-wave detonations ⋮ Stability of detonation profiles in the ZND limit ⋮ Second-order Godunov-type scheme for reactive flow calculations on moving meshes ⋮ High-frequency asymptotics and one-dimensional stability of Zel'dovich-von Neumann-Döring detonations in the small-heat release and high-overdrive limits ⋮ The Erpenbeck high frequency instability theorem for Zeldovitch-von Neumann-Döring detonations ⋮ Stability of detonations for an idealized condensed-phase model ⋮ Theory of weakly nonlinear self-sustained detonations ⋮ Nonlinear cellular dynamics of the idealized detonation model: Regular cells ⋮ Detonation initiation on the microsecond time scale: DDTs ⋮ On the dynamics of multi-dimensional detonation ⋮ D’Yakov–Kontorovich instability in planar reactive shocks ⋮ SELF-SUSTAINED MEAN STREAMING MOTION IN DIAMOND PATTERNS OF A GASEOUS DETONATION ⋮ A gas-kinetic scheme for reactive flows ⋮ High-Frequency Stability of Detonations and Turning Points at Infinity ⋮ A gas-kinetic scheme for multimaterial flows and its application in chemical reactions ⋮ Stability of strong detonation waves for Majda’s model with general ignition functions ⋮ Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability ⋮ Viscous Hyperstabilization of Detonation Waves in One Space Dimension ⋮ Numerical resolution of pulsating detonation waves ⋮ Unsplit algorithms for multidimensional systems of hyperbolic conservation laws with source terms
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