A study of planar Richtmyer-Meshkov instability in fluids with Mie-Grüneisen equations of state

Ward, G. M.; Pullin, D. I.

doi:10.1063/1.3607444

Cited by 9 publications

(4 citation statements)

References 52 publications

(63 reference statements)

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“…If one of the fluids is a liquid and the shock reflects off the interface, cavitation can occur when the pressure falls below the tensile strength of the liquid, further increasing the complexity of the problem. A recent numerical study of Ward and Pullin [18] looks into the role that the equation of state has on RM instability growth in a planar geometry. An experimental study by Buttler et al [19] investigates the RM instability at metal-vacuum interfaces in planar geometry.…”

Section: Introductionmentioning

confidence: 99%

Richtmyer–Meshkov instability of a liquid–gas interface driven by a cylindrical imploding pressure wave

2014

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The compression of a cylindrical gas bubble by an imploding molten lead (Pb) shell may be accompanied by the development of the RichtmyerMeshkov (RM) instability at the liquid-gas interface due to the initial imperfection of the interface. A converging pressure wave impinging upon the interface causes a shell of liquid to detach and continue to travel inwards, compressing the gas bubble. The efficiency of compression and collapse evo- existing theoretical models and good agreement has been found. While our main focus is on the effects of initial perturbation amplitude and azimuthal mode number, we also address differences between this problem and those usually considered, such as RM instability at an interface between two gases with a moderate density ratio. One important difference is the formation of narrow molten lead jets rapidly propagating inwards during the final stages of the collapse. Jet behaviour has been observed for a range of azimuthal mode numbers and perturbation amplitudes.

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Section: Introductionmentioning

confidence: 99%

Richtmyer–Meshkov instability of a liquid–gas interface driven by a cylindrical imploding pressure wave

2014

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“…46, have been obtained [13], [47]. Numerical study of the RM instability in planar geometry had been reported for a Mie-Grüneisen equation of state [48].…”

Section: Introductionmentioning

confidence: 96%

Solution of the Noh problem with an arbitrary equation of state

Velikovich

Giuliani

2018

Phys. Rev. E

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The classic self-similar solutions of the nonstationary compressible Euler equations obtained for a blast-wave propagation (Sedov, Taylor, and von Neumann), a shock-wave implosion (Guderley, Landau, and Stanyukovich), or an impulsive loading of a planar target (von Hoerner, Häfele, and Zel'dovich) have all been derived for a polytropic ideal gas. None of them can be generalized for a fluid with an arbitrary equation of state (EOS), such as the van der Waals EOS of a non-ideal-gas or a three-term EOS of a condensed material. We demonstrate here that the Noh accretion-shock problem is an exception. Its self-similar solutions exist in cylindrical and spherical geometry for fluids and materials with an arbitrary EOS. Such solutions for finite accretion-shock strength and nonuniform inflow velocity are constructed semianalytically with a model three-term equation of state that includes cold, thermal ion (lattice), and thermal electron contributions to the pressure and internal energy. Examples are presented for aluminum and copper. Other material- and EOS-specific semianalytic solutions of the Noh problem can be easily constructed using the same method for any material that in the pressure range of interest can be approximated as a dissipation-free fluid with an arbitrary equation of state.

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“…This is currently an active area of research. 13 In general the theories are divided into two classes depending on the Atwood number. For positive Atwood numbers the incident shock travels from a low-density material to a higher density material.…”

Section: Linear Richtmyer-meshkov Growth Ratesmentioning

confidence: 99%

An experimental platform for generating Richtmyer-Meshkov instabilities on Z.

Harding¹,

Martin²

2013

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The Richtmyer-Meshkov (RM) instability results when a shock wave crosses a rippled interface between two different materials. The shock deposited vorticity causes the ripples to grow into long spikes. Ultimately this process encourages mixing in many warm dense matter and plasma flows of interest. However, generating pure RM instabilities from initially solid targets is difficult because longlived, steady shocks are required. As a result only a few relevant experiments exist, and current theoretical understanding is limited. Here we propose using a flyer-plate driven target to generate RM instabilities with the Z machine. The target consists of a Be impact layer with sinusoidal perturbations and is followed by a low-density carbon foam. Simulation results show that the RM instability grows for 60 ns before release waves reach the perturbation. This long drive time makes Z uniquely suited for generating the high-quality data that is needed by the community.4

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A study of planar Richtmyer-Meshkov instability in fluids with Mie-Grüneisen equations of state

Cited by 9 publications

References 52 publications

Richtmyer–Meshkov instability of a liquid–gas interface driven by a cylindrical imploding pressure wave

Richtmyer–Meshkov instability of a liquid–gas interface driven by a cylindrical imploding pressure wave

Solution of the Noh problem with an arbitrary equation of state

An experimental platform for generating Richtmyer-Meshkov instabilities on Z.

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