Convergent Richtmyer–Meshkov instability of light gas layer with perturbed outer surface

Li, Jianming; Ding, Juchun; Si, Ting; Luo, Xisheng

doi:10.1017/jfm.2019.989

Cited by 25 publications

(14 citation statements)

References 22 publications

(27 reference statements)

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“…Recently, shock-induced inclined SF 6 curtain evolution was explored (Olmstead et al 2017;Romero et al 2021), and it was found that the pressure waves inside the heavy gas are responsible for the scale selection in fully three-dimensional initial conditions, resulting in the Kelvin-Helmholtz instability (KHI) becoming dominant. The soap-film technique was recently utilised to study the interaction of a converging shock wave and a heavy or light fluid layer (Ding et al 2019;Li et al 2020;Sun et al 2020). Compared with the planar RMI, the additional geometric convergent effect (Bell 1951;Plesset 1954) and Rayleigh-Taylor stabilisation (RTS) effect induced by high pressures near the focusing point (Luo et al 2018), introduced by the cylindrical or spherical RMI, complicate the analysis on the fluid-layer evolution.…”

Section: Introductionmentioning

confidence: 99%

On shock-induced heavy-fluid-layer evolution

Luo

2021

J. Fluid Mech.

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Section: Introductionmentioning

confidence: 99%

On shock-induced heavy-fluid-layer evolution

Luo

2021

J. Fluid Mech.

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“…Experimental investigations of cylindrical converging RMI in shock tubes had been conducted by several researchers, such as Hosseini & Takayama (2005), Biamino et al (2015), Luo et al (2015Luo et al ( , 2018Luo et al ( , 2019a, Zhai et al (2017), Rodriguez et al (2017), Ding et al (2017Ding et al ( , 2019, Lei et al (2017), Li et al (2020), Vandenboomgaerde et al (2018, Courtiaud et al (2019), Sun et al (2020b) and Zou et al (2019). These experimental results are particularly helpful for the development of theory and numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

Statistical characteristics of turbulent mixing in spherical and cylindrical converging Richtmyer–Meshkov instabilities

et al. 2021

J. Fluid Mech.

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In this paper, the Richtmyer–Meshkov instabilities in spherical and cylindrical converging geometries with a Mach number of approximately 1.5 are investigated by using the high resolution implicit large eddy simulation method, and the influence of the geometric effect on the turbulent mixing is investigated. The heavy fluid is sulphur hexafluoride (SF6), and the light fluid is nitrogen (N2). The shock wave converges from the heavy fluid into the light fluid. The Atwood number is 0.678. The total structured and uniform Cartesian grid node number in the main computational domain is 20483. In addition, to avoid the influence of boundary reflection, a sufficiently long sponge layer with 50 non-uniform coarse grids is added for each non-periodic boundary. Present numerical simulations have high and nonlinear initial perturbation levels, which rapidly lead to turbulent mixing in the mixing layers. Firstly, some physical-variable mean profiles, including mass fraction, Taylor Reynolds number, turbulent kinetic energy, enstrophy and helicity, are provided. Second, the mixing characteristics in the spherical and cylindrical turbulent mixing layers are investigated, such as molecular mixing fraction, efficiency Atwood number, turbulent mass-flux velocity and density self-correlation. Then, Reynolds stress and anisotropy are also investigated. Finally, the radial velocity, velocity divergence and enstrophy in the spherical and cylindrical turbulent mixing layers are studied using the method of conditional statistical analysis. Present numerical results show that the geometric effect has a great influence on the converging Richtmyer–Meshkov instability mixing layers.

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“…Recently, we examined the evolution of an outer perturbation layer (in which the outer interface is perturbed and the inner interface is uniform), filled with either or helium and surrounded by air, subjected to a cylindrical shock (Ding et al 2019; Li et al 2020), and rich new phenomena not present in the evolution of a single interface were observed. In particular, the initial perturbation on the outer interface was found to have either a significant or a negligible influence on the development of the inner interface, depending on the properties of the gas inside the layer.…”

Section: Introductionmentioning

confidence: 99%