Interaction of a shock with a sinusoidally perturbed flame

Khokhlov, A. M.; Oran, Elaine S.; Chtchelkanova, Almadena; Wheeler, J. C.

doi:10.1016/s0010-2180(98)00090-x

Cited by 105 publications

(70 citation statements)

References 16 publications

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“…Radulescu et al [4,15] suggested this mechanism as a source of turbulence behind the front in gaseous detonations. Such a type of turbulence (shock-flame interaction) has also been observed in both numerical and experimental studies of DDT phenomena (e.g., [24,46,[65][66][67][68][69][70]). In their investigation of DDT, Oran and Gamezo [24] showed that the computations in two dimensions were in agreement with those in three dimensions and experiments.…”

Section: Three-dimensional Effectsmentioning

confidence: 74%

Hydrodynamic Instabilities in Gaseous Detonations: Comparison of Euler, Navier–Stokes, and Large-Eddy Simulation

Mahmoudi

Karimi

Deiterding

et al. 2014

Journal of Propulsion and Power

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A large-eddy simulation is conducted to investigate the transient structure of an unstable detonation wave in two dimensions and the evolution of intrinsic hydrodynamic instabilities. The dependency of the detonation structure on the grid resolution is investigated, and the structures obtained by large-eddy simulation are compared with the predictions from solving the Euler and Navier-Stokes equations directly. The results indicate that to predict irregular detonation structures in agreement with experimental observations the vorticity generation and dissipation in small scale structures should be taken into account. Thus, large-eddy simulation with high grid resolution is required. In a low grid resolution scenario, in which numerical diffusion dominates, the structures obtained by solving the Euler or Navier-Stokes equations and large-eddy simulation are qualitatively similar. When high grid resolution is employed, the detonation structures obtained by solving the Euler or Navier-Stokes equations directly are roughly similar yet equally in disagreement with the experimental results. For high grid resolution, only the large-eddy simulation predicts detonation substructures correctly, a fact that is attributed to the increased dissipation provided by the subgrid scale model. Specific to the investigated configuration, major differences are observed in the occurrence of unreacted gas pockets in the high-resolution Euler and Navier-Stokes computations, which appear to be fully combusted when large-eddy simulation is employed.

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Section: Three-dimensional Effectsmentioning

confidence: 74%

Hydrodynamic Instabilities in Gaseous Detonations: Comparison of Euler, Navier–Stokes, and Large-Eddy Simulation

Mahmoudi

Karimi

Deiterding

et al. 2014

Journal of Propulsion and Power

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“…(1)(2)(3)(4)(5)(6)(7)(8)(9)(10) are M i , a j , β j , E j , , ν ij , D ij , µ, k, and h o i . They represent the molecular mass of species i, the kinetic rate constant of reaction j, the temperature dependency exponent of reaction j, the activation energy of reaction j, the universal gas constant ( = 8.31441 J/mol/K), the stoichiometric coefficient of the ith species of reaction j, the mass diffusivity of the ith species due to the jth species, the dynamic viscosity, the thermal conductivity, and the standard enthalpy of formation of species i.…”

Section: Governing Equations Initial and Boundary Conditionsmentioning

confidence: 99%

“…This state is consistent with Rankine-Hugoniot jump conditions for the inviscid equivalent of Eqs. (1)(2)(3)(4)(5)(6)(7)(8)(9)(10). Knowledge of these parameters allows determination of all other dependent variables at t = 0 s through the use of the governing equations.…”

Section: Governing Equations Initial and Boundary Conditionsmentioning

confidence: 99%

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Novel modeling of hydrogen/oxygen detonation

Rastigejev

Singh

Bowman

et al. 2000

38th Aerospace Sciences Meeting and Exhibit

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A standard ignition delay problem for a mixture of hydrogen, oxygen, and argon in a shock tube is extended to the viscous regime and solved using the method of Intrinsic Low Dimensional Manifolds (ILDM) coupled with a Wavelet Adaptive Multilevel Representation (WAMR) spatial discretization technique. An operator splitting method is used to describe the reactions as a system of ordinary differential equations at each spatial point. The ILDM method is used to eliminate the stiffness associated with the chemistry by decoupling processes which evolve on fast and slow time scales. The fast time scale processes are systematically equilibrated, thereby reducing the dimension of the phase space required to describe the reactive system. The WAMR captures the detailed spatial structures automatically with a small number of basis functions thereby further reducing the number of variables required to describe the system. Using a maximum of only 300 collocation points and 15 scale levels allows results with striking resolution of fine scale viscous and induction zones to be obtained. Additionally, the resolution of physical diffusion processes minimizes the effects of potentially reaction-inducing artificial entropy layers associated with numerical diffusion.

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“…In the literature, there are extensive fundamental studies on the interaction between flame and acoustic wave or shock wave [14][15][16][17][18][19][20][21][22][23][24]. The study of the flame-acoustic wave (pressure wave) interaction has made substantially contribution to understand the flame propagation and flame configuration.…”

Section: Introductionmentioning

confidence: 99%