Growth rate predictions of single- and multi-mode Richtmyer–Meshkov instability with reshock

Ukai, S.; Balakrishnan, Kaushik; Menon, Suresh

doi:10.1007/s00193-011-0332-0

Cited by 41 publications

(32 citation statements)

References 55 publications

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“…Early time behavior is consistent with the nonlinear theory of Zhang and Song 15 and with calculations performed by Ukai et al 7 However, the latter study did not show that the 2D flow grew more rapidly than 3D in late time as our studies have. This difference may be due to differences in initial conditions or perhaps a dependency on the simulation box size, which tends to rapidly saturate with large 2D modes.…”

supporting

confidence: 93%

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Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions

Olson

Greenough

2014

Physics of Fluids

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A comparison between two- and three-dimensional large-eddy simulations of the planar Richtmyer-Meshkov instability with multimode initial conditions is made. The three-dimensional calculation achieves a turbulent state where an inertial range of length scales is present after the second shock wave impacts the interface. Grid independence of the mixing width up until the time of reshock is demonstrated through mesh refinement in both two and three dimensions. Quantitative measures of mixing are compared including the mixing width, mixedness, mixed mass, and spectra of velocity and density. A proposed approximate relation for the mixed mass is evaluated in one, two, and three dimensions and is proportional to the product of the mixing width and the mass fraction variance in the layer. The variance of the velocity field and the scalar mass fraction are compared in two and three dimensions and demonstrate large differences in behavior.

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supporting

confidence: 93%

“…Indeed, Ukai et al 7 found that three dimensional flow produced nearly two times the mixing width as its two-dimensional analogue for a single mode perturbation. For multimode perturbations, the same authors found this difference to be slightly less pronounced.…”

mentioning

confidence: 99%

Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions

Olson

Greenough

2014

Physics of Fluids

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“…47,[50][51][52][53] However, the comparisons to experiments were done for a single given configuration (i.e., shock wave Mach number, shock tube dimensions, etc.). Moreover, these studies did not present a comprehensive parametric study of possible initial conditions, which could successfully reproduce the experiments.…”

Section: Introductionmentioning

confidence: 99%

Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments

et al. 2014

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The evolution of the three-dimensional planar Richtmyer-Meshkov (RM) instability during a two shock wave interaction (i.e., reshock) is investigated by means of comparing numerical simulations and analytical modelling with experimental results of low Mach numbers (M < 1.5) and fairly high Atwood numbers (A ∼ 0.7). The study discusses and analyses the differences in the evolution of the mixing zone for two different types of initial perturbations, namely, multi-mode random initial perturbation with a narrow or wide bubble size distribution. More specifically, the study is focused on the agreement between numerical simulations and experiments performed with an unknown random initial perturbation. Using a large set of experimental results with different reshock arrival times and Mach numbers, the numerical simulations results are compared to the experimental results for a variety of different scenarios. This methodology allows a constrained comparison, while requiring good agreement for all cases. A comprehensive parametric study is conducted, examining the evolution of the mixing zone (MZ) for different initial amplitudes and wavelengths. It is found that in order to achieve a good agreement, the numerical simulation must be performed using a wide enough initial spectrum, which enables a dominant, efficient bubble merging process to take place within the MZ. The numerical simulation results are compared to a model, based on classic single bubble RM evolution formulation, combined with high amplitude effects consideration and phase reversal treatment in case of heavy to light reshock passage. The model is also extended for the case of multi-mode fronts, accounting for a bubble merging process, determining that the MZ evolution after the reshock can be classified with high confidence as governed by an inverse cascade bubble merger, approaching self-similarity.

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“…Here, we define a material shell as a spherical shell (of finite thickness) of particles or dense gases surrounding a spherical charge. Past studies in dilute mixtures [14,15] have shown that the interface between the particles and the gases forms "bubble" and "spike" structures after interaction with the shock wave, similar to the structures observed in a pure gas-phase Richtmyer-Meshkov instability (RMI) [16]. We further investigate the role of these structures to disperse the relatively dense loading of particles in the flow behind the blast wave.…”

Section: Introductionmentioning

confidence: 64%

Turbulent mixing and afterburn in post-detonation flow with dense particle clouds

Gottiparthi¹,

Menon²

2017

AIP Conference Proceedings

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Abstract. Augmentation of the impact of an explosive is routinely achieved by packing metal particles in the explosive charge. When detonated, the particles in the charge are ejected and dispersed. The ejecta influences the post-detonation combustion processes that bolster the blast wave and determines the total impact of the explosive. While the classical Eulerian-Lagrangian (EL) methods can accurately handle the post-detonation mixing zone in the dilute regime, the Eulerian-Eulerian (EE) method is preferred for the initial dense clustering. Here, we summarize the results obtained using both EL and EE methods as well as demonstrate a new hybrid EE-EL approach. The EL method, which is also developed to handle both dense and dilute flows using the discrete equation method, is used initially to study the dispersion of a relatively dense particle shell by blast waves. The results show distinct clustering of particles that later leads to the formation of jet-like structures as seen in experiments. Then, the hybrid EE-EL method is used to study the dispersion of dense clouds from explosives packed with aluminum (reactive) or steel (inert) particles. A transitioning criterion is used to smoothly transfer the initially dense Eulerian mass to Lagrangian particles when dilute. Results are presented to demonstrate that the approach is computationally efficient and accurate for certain ranges of particle sizes and loading. It is shown that mixing between the ambient and post-detonation products can be enhanced when particles are present in the flow. Furthermore, the afterburn of aluminum particles increases in the average gas-phase temperature by 100 K -200 K when compared to a case with non-reacting particles. More studies are still needed to establish a robust strategy for wider applications.

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Growth rate predictions of single- and multi-mode Richtmyer–Meshkov instability with reshock

Cited by 41 publications

References 55 publications

Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions

Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions

Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments

Turbulent mixing and afterburn in post-detonation flow with dense particle clouds

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