Numerical Analysis of Two-Dimensional Nonsteady Detonations

Taki, Shiro; Fujiwara, Toshi

doi:10.2514/3.60859

Cited by 135 publications

(31 citation statements)

References 3 publications

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“…Successive generations of computational simulation of this phenomenon since the late 1970s have revealed greater and greater intricacy of the details, many of which have also been observed in experiments, making a notoriously challenging problem for theoretical description. [4,[6][7][8][9] While detonation waves in pre-mixed, homogenous media exhibit localized spatiotemporal reaction zone structures (e.g., unburned pockets, etc. ), greater complications might arise from spatially inhomogeneous reactive media.…”

Section: Introductionmentioning

confidence: 99%

Propagation of gaseous detonation waves in a spatially inhomogeneous reactive medium

Higgins

et al. 2017

Phys. Rev. Fluids

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Detonation propagation in a compressible medium wherein the energy release has been made spatially inhomogeneous is examined via numerical simulation. The inhomogeneity is introduced via step functions in the reaction progress variable, with the local value of energy release correspondingly increased so as to maintain the same average energy density in the medium, and thus a constant Chapman Jouguet (CJ) detonation velocity. A one-step Arrhenius rate governs the rate of energy release in the reactive zones. The resulting dynamics of a detonation propagating in such systems with one-dimensional layers and two-dimensional squares are simulated using a Godunov-type finite-volume scheme. The resulting wave dynamics are analyzed by computing the average wave velocity and one-dimensional averaged wave structure. In the case of sufficiently inhomogeneous media wherein the spacing between reactive zones is greater than the inherent reaction zone length, average wave speeds significantly greater than the corresponding CJ speed of the homogenized medium are obtained. If the shock transit time between reactive zones is less than the reaction time scale, then the classical CJ detonation velocity is recovered. The spatio-temporal averaged structure of the waves in these systems is analyzed via a Favre averaging technique, with terms associated with the thermal and mechanical fluctuations being explicitly computed. The analysis of the averaged wave structure identifies the super-CJ detonations as weak detonations owing to the existence of mechanical non-equilibrium at the effective sonic point embedded within the wave structure. The correspondence of the super-CJ behavior identified in this study with real detonation phenomena that may be observed in experiments is discussed. * Corresponding author: andrew.higgins@mcgill.ca 2

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Section: Introductionmentioning

confidence: 99%

Propagation of gaseous detonation waves in a spatially inhomogeneous reactive medium

Higgins

et al. 2017

Phys. Rev. Fluids

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“…Instead of using many real elementary reactions, a two-step model reaction is used [10]. The chemical reaction is split into two stages, the induction period and the subsequent exothermic stage.…”

Section: Governing Equations and Numerical Methodsmentioning

confidence: 99%

Numerical simulation of three-dimensional gas detonation

Wang

Lü

2008

J. Phys.: Conf. Ser.

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“…In the case that the interface is the shock front, vi should be computed by the Rankine-Hogoniot conditions (17).…”

Section: Interfacial Conditions Between Subdomains and Boundary Condimentioning

confidence: 99%

“…Aitiong the attemts of simulating two 2 dimensional detonation waves numerically, Oran et al has done a series of simulations with FCT schemes and a phenomenological chemistry model was used to solve the stiffness in the system, see for instance [161. Another early result was obtained by Taki and Fujiwara [17] where a quasi first order numerical scheme was used with a two front model suggested in [18] to model the chemistry. Most recently, an improved version of P.P.M., which uses the location of the detonation in evaluating the numerical fluxes, gave improved results in oneand two-dimensional detonation simulations [19].…”

Section: Introductionmentioning

confidence: 99%