Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales

Zhou, Ye; Williams, R. J. R.; Ramaprabhu, Praveen; Groom, Michael; Thornber, Ben; Hillier, Andrew; Mostert, Wouter; Rollin, Bertrand; Balachandar, S.; Powell, Philip D.; Mahalov, Alex; Attal, Nitesh

doi:10.1016/j.physd.2020.132838

Cited by 174 publications

(64 citation statements)

References 670 publications

(356 reference statements)

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“…The three-stage growth law of the SDGI distinctly differs from that of the RMI and SDMI characterized by the linear regime and the following nonlinear regime (Luo et al 2019; Li et al 2020; Zhou et al 2021). More importantly, the SDGI is dictated by granular dynamics rather than vortices deposited along the interface.…”

Section: Discussionmentioning

confidence: 99%

“…These instabilities have a fundamental bearing on a range of natural phenomena and engineering processes, particularly supernova explosions (Inoue, Yamazaki & Inutsuka 2009), volcanic eruptions (Formenti, Druitt & Kelfoun 2003) and laser-driven inertial confinement fusion experiments (Aglitskiy et al 2010). The resulting particle fingers protruding into gases, reminiscent of the heavy-fluid ‘spikes’ thrusting into a light fluid generated by the conventional Richtmyer–Meshkov instability (RMI) (Luo et al 2019; Li et al 2020; Zhang et al 2020; Zhou et al 2021), inspire investigators to draw a parallel between the shock-driven particle jetting behaviour and the RMI (Vorobieff et al 2011; McFarland et al 2016; Osnes, Vartdal & Pettersson Reif 2017; Fernández-Godino et al 2019; Koneru et al 2020; Duke-Walker et al 2021). Indeed, the shock-driven multiphase instability (SDMI), a variant of the RMI arising from the shock-accelerated perturbed interface between multiphase fluid mixtures of different effective densities, is responsible for the jetting instability of particles that have been explosively dispersed and mixed with gases (Osnes et al 2017; Fernández-Godino et al 2019; Koneru et al 2020).…”

Section: Introductionmentioning

confidence: 99%

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Shock-induced interfacial instabilities of granular media

Xue

Zeng

et al. 2021

J. Fluid Mech.

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This paper investigates the shock-induced instability of the interfaces between gases and dense granular media with finite length via the coarse-grained compressible computational fluid dynamics–discrete parcel method. Despite generating a typical spike-bubble structure reminiscent of the Richtmyer–Meshkov instability (RMI), the shock-driven granular instability (SDGI) is governed by fundamentally different mechanisms. Unlike the RMI arising from baroclinic vorticity deposition on the interface, the SDGI is closely associated with the interfacial and bulk granular dynamics, which evolve with the transient coupling between particles and gases. Consequently, the SDGI follows a growth law distinctly different from that of the RMI, namely a semilinear slow regime followed by an exponentially expedited regime and a quadratic asymptotic regime. We further establish the instability criteria of the SDGI for granular media with infinite and finite lengths, which do not exist in the RMI. A scaling growth law of the SDGI for dense granular media with finite length is derived by normalizing the time with the rarefaction propagation time, which successfully collapses the data from cases with varying shock strength, particle column length and particle volume fraction and ought to hold for granular media with varying particle parameters. The effect of the initial perturbation magnitude can be properly considered in the scaling growth law by incorporating it into the length normalization.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Shock-induced interfacial instabilities of granular media

Xue

Zeng

et al. 2021

J. Fluid Mech.

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“…A canonical example of this type of mixing is the Rayleigh-Taylor instability, which has recently been reviewed comprehensively from the physics and modelling standpoints in [73][74][75][76]. In this case, the flow is induced by the relaxation of a statically unstable density stratification, resulting from a heavy fluid (density ρ 1 ) resting above a light fluid (density ρ 2 ), with gravity g pointing downwards along coordinate y.…”

Section: (I ) Inhomogeneous Variable-density Turbulencementioning

confidence: 99%

The local wavenumber model for computation of turbulent mixing

Kurien

Pal

2022

Phil. Trans. R. Soc. A.

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We present an overview of the current status in the development of a two-point spectral closure model for turbulent flows, known as the local wavenumber (LWN) model. The model is envisioned as a practical option for applications requiring multi-physics simulations in which statistical hydrodynamics quantities such as Reynolds stresses, turbulent kinetic energy, and measures of mixing such as density-correlations and mix-width evolution, need to be captured with relatively high fidelity. In this review, we present the capabilities of the LWN model since it was first formulated in the early 1990s, for computations of increasing levels of complexity ranging from homogeneous isotropic turbulence, inhomogeneous and anisotropic single-fluid turbulence, to two-species mixing driven by buoyancy forces. The review concludes with a discussion of some of the more theoretical considerations that remain in the development of this model. This article is part of the theme issue ‘Scaling the turbulence edifice (part 2)’.

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“…An extensive review of occurrences for RMI and RTI in nature and technology, alongside common modeling approaches has been compiled by Zhou 6,7 and Zhou et al 8 . Notable use-cases in the non-combustive context are inertial confinement fusion 9 and the modeling of supernovae explosions 10 .…”

Section: Introductionmentioning

confidence: 99%

Vortex dynamics and fractal structures in reactive and nonreactive Richtmyer–Meshkov instability

et al. 2021

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Hydrodynamic instabilities caused by shock-flame interactions are a fundamental challenge in the accurate prediction of explosion loads in the context of nuclear and process plant safety. To investigate the Richtmyer-Meshkov instability (RMI), a series of three dimensional numerical simulations of shock-flame interactions is performed, including lean, stoichiometric and nonreactive homogeneous H 2 /Air mixtures. The equivalence ratio has a strong influence on the achievable flame wrinkling and mixing, by impacting key physical parameters such as the heat release parameter, flame thickness and reactivity. The reactiv-

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Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales

Cited by 174 publications

References 670 publications

Shock-induced interfacial instabilities of granular media

Shock-induced interfacial instabilities of granular media

The local wavenumber model for computation of turbulent mixing

Vortex dynamics and fractal structures in reactive and nonreactive Richtmyer–Meshkov instability

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