Reynolds number dependence of turbulence induced by the Richtmyer–Meshkov instability using direct numerical simulations

Groom, Michael; Thornber, Ben

doi:10.1017/jfm.2020.913

Cited by 18 publications

(25 citation statements)

References 60 publications

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“…There are also other predictions, such as based on the constancy of the Loitsianskii invariant, based on assuming a constant Saffman invariant (Saffman 1967), and based on the two-point longitudinal velocity correlation (Huang & Leonard 1994). Although Reynolds number dependence exists, the decay rates in RMI are always faster than those in classic homogeneous and isotropic turbulence (Groom & Thornber 2019, 2021). We computed the turbulent kinetic energy within the mixing regions and showed them in figure 13.…”

Section: Resultsmentioning

confidence: 99%

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Yan

Wang

et al. 2022

J. Fluid Mech.

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Direct numerical simulations of a three-dimensional cylindrical Richtmyer–Meshkov instability with and without chemical reactions are carried out to explore the chemical reaction effects on the statistical characteristics of transition and turbulent mixing. We adopt 9-species and 19-reaction models of non-premixed hydrogen and oxygen separated by a multimode perturbed cylindrical interface. A new definition of mixing width suitable for a chemical reaction is introduced, and we investigate the spatio-temporal evolution of typical flow parameters within the mixing regions. After reshock with a fuller mixing of fuels and oxygen, the chemical reaction becomes sufficiently apparent at affecting the evolution of the flow fields. Because of the generation of a combustion wave within the combustion regions and propagation, the growth of the mixing width with a chemical reaction is accelerated, especially around the outer radius with large temperature gradient profiles. However, the viscous dissipation rate in the early stage of the chemical reaction is greater because of heat release, which results in weakened turbulent mixing within the mixing regions. We confirm that small-scale structures begin to develop after reshock and then decay over time. During the developing process, helicity also begins to develop, in addition to kinetic energy, viscous dissipation rate, enstrophy, etc. In the present numerical simulations with cylindrical geometry, the fluctuating flow fields evolve from quasi-two-dimensional perturbations, and the generations of helicity can capture this transition process. The weakened fluctuations during shock compression can be explained as the inverse energy cascade, and the chemical reaction can promote this inverse energy cascade process.

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Section: Resultsmentioning

confidence: 99%

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Yan

Wang

et al. 2022

J. Fluid Mech.

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“…compressible turbulence (Mohaghar et al. 2019; Groom & Thornber 2021) and vortex dynamics (Peng et al. 2021), as well as the important role in industrial fields such as inertial confinement fusion (ICF) (Betti & Hurricane 2016).…”

Section: Introductionmentioning

confidence: 99%

Divergent Richtmyer–Meshkov instability on a heavy gas layer

Zhang

Ding

et al. 2023

J. Fluid Mech.

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Experiments on divergent Richtmyer–Meshkov (RM) instability at a heavy gas layer are performed in a specially designed shock tube. A novel soap-film technique is extended to generate gas layers with controllable thicknesses and shapes. An unperturbed gas layer is first examined and its two interfaces are found to move uniformly at the early stage and be decelerated later. A general one-dimensional theory applicable to an arbitrary-thickness layer is established, which gives a good prediction of the layer motion in divergent geometry. Then, six kinds of perturbed SF $_6$ layers with various thicknesses and shapes surrounded by air are examined. At the early stage, the amplitude growths of the inner interface for various-thickness layers collapse quite well and also can be predicted by the Bell model for cylindrical RM instability at a single interface, which indicates a negligible interface coupling effect. Later, a rarefaction wave accelerates the inner interface, causing a dramatic rise in the growth rate. It is found that a thicker gas layer will result in a larger extent that the rarefaction wave can promote the instability growth. A modified Bell model accounting for both Rayleigh–Taylor (RT) instability and interface stretching caused by a rarefaction wave is established, which well reproduces the quick instability growth. At late stages, reverberating waves inside the layer are negligibly weak such that the inner interface growth is dominated by RM instability and RT stability. The major factors driving the outer interface development are a compression wave and interface coupling. A new interface coupling phenomenon existing uniquely in divergent geometry caused by the gradual thinning of the gas layer is observed and also modelled.

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“…t S = 0.11 ms t = 1 ms t * = 2 ms t = 5 ms t = 10 ms t = 20 ms k −5/3 k −3/2 10 0 10 1 10 2 10 0 10 1 10 2 Xiao 2016), is satisfied with N = 256, where k max = 3/Δx is the maximum wavenumber (see Yeung & Pope 1989) and η = ( ν 3 M / M ) 1/4 is the Kolmogorov length scale with the mixture kinematic viscosityν =μ/ρ and the local dissipation rate = (τ : S)/ρ. Moreover, the resolution N = 256 also satisfies the criterion proposed by Groom & Thornber (2019, 2021 based on the initial Reynolds number.…”

Section: Simulation Methodsmentioning

confidence: 75%

Effects of the secondary baroclinic vorticity on the energy cascade in the Richtmyer–Meshkov instability

2021

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Reynolds number dependence of turbulence induced by the Richtmyer–Meshkov instability using direct numerical simulations

Abstract: Abstract

Cited by 18 publications

References 60 publications

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Divergent Richtmyer–Meshkov instability on a heavy gas layer

Effects of the secondary baroclinic vorticity on the energy cascade in the Richtmyer–Meshkov instability

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