Late-time growth of the Richtmyer–Meshkov instability for different Atwood numbers and different dimensionalities

Yosef-Hai, Arnon; Sadot, O.; Kartoon, D.; Oron, Dan; Levin, Liron; Sarid, E.; Elbaz, D.; Ben‐Dor, G.; Shvarts, D.

doi:10.1017/s0263034603213112

Cited by 17 publications

(8 citation statements)

References 6 publications

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“…The interface formed is free of supporting mesh or pins and, therefore, the initial condition can be well controlled. Owing to the minimum-surface feature, this interface has a zero mean curvature, which is different from the interface used in the previous literature (Yosef-Hai et al 2003;Chapman & Jacobs 2006;Long et al 2009). Krechetnikov (2009) directions are not understood yet.…”

mentioning

confidence: 76%

“…Recently, the three-dimensional (3D) RMI has received much attention due to its more practical nature. A few 3D configurations such as the 3D single-mode and the random-perturbed cases have been considered experimentally and theoretically (Zhang & Sohn 1999;Yosef-Hai et al 2003;Chapman & Jacobs 2006;Leinov et al 2009;Long et al 2009). However, there is a scarcity of 3D RMI experimental studies.…”

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confidence: 99%

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The Richtmyer–Meshkov instability of a three-dimensional interface with a minimum-surface feature

Luo

Wang

2013

J. Fluid Mech.

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A novel method to create a discontinuous gaseous interface with a minimumsurface feature by the soap film technique is developed for three-dimensional (3D) Richtmyer-Meshkov instability (RMI) studies. The interface formed is free of supporting mesh and the initial condition can be well controlled. Five air/SF 6 interfaces with different amplitude are realized in shock-tube experiments. Timeresolved schlieren and planar Mie-scattering photography are employed to capture the motion of the shocked interface. It is found that the instability at the linear stage in the symmetry plane grows much slower than the predictions of previous two-dimensional (2D) impulsive models, which is ascribed to the opposite principal curvatures of the minimum surface. The 2D impulsive model is extended to describe the general 3D RMI. A quantitative analysis reveals a good agreement between experiments and the extended linear model for all the configurations including both the 2D and 3D RMIs at their early stages. An empirical model that combines the early linear growth with the late-time nonlinear growth is also proposed for the whole evolution process of the present configuration.

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confidence: 76%

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confidence: 99%

The Richtmyer–Meshkov instability of a three-dimensional interface with a minimum-surface feature

Luo

Wang

2013

J. Fluid Mech.

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“…The boundary conditions at the shock front suggest that the pressure perturbation is proportional to ka(k) (Wouchuk & Nishihara, 1997;Wouchuk & Nishihara, 1996, Eqs. (Yosef-Hai et al, 2003;Vandenboomgaerde et al, 2003) is quite different. The lowering of the value of the Fourier component as in Example 1 (Eq.…”

Section: Resultsmentioning

confidence: 96%

Effect on Richtmyer-Meshkov instability of deviation from sinusoidality of the corrugated interface between two fluids

et al. 2007

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The effect of arbitrary shapes of the two fluid interface on Richtmyer-Meshkov (RM) instability is investigated. It is seen that deviation from sinusoidality in the geometrical shapes has interesting influence on the overall growth rate. In the linear theoretic domain the RM instability may be actually reduced for suitable geometrical shape of the interface. The figures given demonstrate this aspect. This result is important in designing ICF target and also gives an idea to tailor laser pulse for optimum stability of RM modes.

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“…However, due to the difficulties in experimental realization and theoretical analysis, only a few 3D configurations such as the 3D random-perturbed and the single-mode cases have been treated experimentally and theoretically. [27][28][29][30][31] Previous studies indicated that the evolution of perturbation with 3D features differs from that of perturbation with 2D features. When the directions of the principal curvatures are the same, the perturbation growth rate in 3D flows is larger than that in 2D flows.…”

Section: Two-dimensional Single-mode Interfacementioning

confidence: 99%

Review of experimental Richtmyer–Meshkov instability in shock tube: From simple to complex

Zhai

Zou

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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Richtmyer–Meshkov (RM) instability is regarded as a central role for understanding the hydrodynamic processes involved in inertial confinement fusion, supersonic combustion and supernova explosion. Because of its academic implication and engineering applications, the RM instability has received much attention since it was proposed. As an important tool for studying RM instability, shock tube experiment on shock–fluid interface interaction has been widely adopted and great progress has been achieved in past decades. The generation of a shock wave, the formation of an initial interface and the diagnostic of flow field are the three elements for studying the RM instability experimentally. This review surveys the advances in experimental investigations of RM instability in shock tube environment. Originating from a simple configuration as a planar shock interacting with a simple perturbed interface, the experimental study of RM instability approaches more complex situations like a convergent shock with a simple interface, or a planar shock with a complex interface. It is then expected that the experimental study on the real circumstance may be realized by using a complex shock with a complex interface. Finally, we propose the following issues for future study: (1) evolution of the RM instability induced by cylindrically converging shock waves; (2) effect of the three dimensions on the RM instability; (3) interaction of perturbed shock wave with an initially uniform or perturbed interface; and (4) formation and mixing mechanism of the compressible turbulence in the final stage of the RM instability.

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Late-time growth of the Richtmyer–Meshkov instability for different Atwood numbers and different dimensionalities

Cited by 17 publications

References 6 publications

The Richtmyer–Meshkov instability of a three-dimensional interface with a minimum-surface feature

The Richtmyer–Meshkov instability of a three-dimensional interface with a minimum-surface feature

Effect on Richtmyer-Meshkov instability of deviation from sinusoidality of the corrugated interface between two fluids

Review of experimental Richtmyer–Meshkov instability in shock tube: From simple to complex

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