Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability

Yan, Rui; Betti, R.; Sanz, J.; Aluie, Hussein; Liu, B.; Frank, Adam

doi:10.1063/1.4940917

Cited by 34 publications

(24 citation statements)

References 24 publications

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“…Due to the axial symmetry, the induced advection due to vortex stretching is in the vertical direction. This has also been observed in 3D ablative RTI in [39]. It is also consistent with our findings above where bubble re-acceleration is more pronounced in 3D than in 2D.…”

Section: Discussion On Vortical Structuressupporting

confidence: 93%

Revisiting the late-time growth of single-mode Rayleigh–Taylor instability and the role of vorticity

Bian

Aluie

Zhao

et al. 2020

Physica D: Nonlinear Phenomena

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Growth of the single-fluid single-mode Rayleigh-Taylor instability (RTI) is revisited in 2D and 3D using fully compressible high-resolution simulations. We conduct a systematic analysis of the effects of perturbation Reynolds number (Re p ) and Atwood number (A) on RTI's late-time growth. Contrary to the common belief that single-mode RTI reaches a terminal bubble velocity, we show that the bubble re-accelerates when Re p is sufficiently large, consistent with [Ramaparabhu et al. 2006, Wei andLivescu 2012]. However, unlike in [Ramaparabhu et al. 2006], we find that for a sufficiently high Re p , the bubble's late-time acceleration is persistent and does not vanish. Analysis of vorticity dynamics shows a clear correlation between vortices inside the bubble and re-acceleration. Due to symmetry around the bubble and spike (vertical) axes, the self-propagation velocity of vortices points in the vertical direction. If viscosity is sufficiently small, the vortices persist long enough to enter the bubble tip and accelerate the bubble [Wei and Livescu 2012]. A similar effect has also been observed in ablative RTI [Betti and Sanz 2006]. As the spike growth increases relative to that of the bubble at higher A, vorticity production shifts downward, away from the centerline and toward the spike tip. We modify the Betti-Sanz model for bubble velocity by introducing a vorticity efficiency factor η = 0.45 to accurately account for re-acceleration caused by vorticity in the bubble tip. It had been previously suggested that vorticity generation and the associated bubble re-acceleration are suppressed at high A. However, we present evidence that if the large Re p limit is taken first, bubble re-acceleration is still possible. Our results also show that re-acceleration is much easier to occur in 3D than 2D, requiring smaller Re p thresholds.

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Section: Discussion On Vortical Structuressupporting

confidence: 93%

Revisiting the late-time growth of single-mode Rayleigh–Taylor instability and the role of vorticity

Bian

Aluie

Zhao

et al. 2020

Physica D: Nonlinear Phenomena

View full text Add to dashboard Cite

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“…In high energy density physics (HEDP) applications performed at national laboratory facilities, such as in inertial confinement fusion (ICF) experiments, density ratios upward of 10 4 − 10 5 are frequently encountered (e.g. [15][16][17]). In laboratory flow experiments, density ratios of up to 600 have been achieved using different fluids [18,19].…”

Section: Introductionmentioning

confidence: 99%

Inviscid criterion for decomposing scales

Zhao

Aluie

2018

Phys. Rev. Fluids

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The proper scale decomposition in flows with significant density variations is not as straightforward as in incompressible flows, with many possible ways to define a 'length-scale.' A choice can be made according to the so-called inviscid criterion [1]. It is a kinematic requirement that a scale decomposition yield negligible viscous effects at large enough 'length-scales.' It has been proved [1] recently that a Favre decomposition satisfies the inviscid criterion, which is necessary to unravel inertial-range dynamics and the cascade. Here, we present numerical demonstrations of those results. We also show that two other commonly used decompositions can violate the inviscid criterion and, therefore, are not suitable to study inertial-range dynamics in variable-density and compressible turbulence. Our results have practical modeling implication in showing that viscous terms in Large Eddy Simulations do not need to be modeled and can be neglected. *

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“…The multimode ARTI simulations are carried out on a planar target using the hydrodynamic code ART [29,[33][34]. ART solves the single fluid compressible inviscid equations of motion with Spitzer heat conduction and an ideal gas equation of state [35].…”

Section: Crti Artimentioning

confidence: 99%

“…This occurs because at large V rms , the ablation-generated vorticity enhances the bubble penetration by accelerating the nonlinear bubble velocity [33][34]. Due to the vorticity effect, the nonlinear ARTI does not transit to the bubble merger regime and α b keeps increasing with V rms .…”

Section: Crti Artimentioning

confidence: 99%

Self-Similar Multimode Bubble-Front Evolution of the Ablative Rayleigh-Taylor Instability in Two and Three Dimensions

et al. 2018

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scaling law with α b dependent on the initial conditions and ablation velocity. The value of α b is determined by the bubble competition theory, indicating that mass ablation reduces α b with respect to the classical value for the same initial perturbation amplitude. It is also shown that ablation-driven vorticity accelerates the bubble velocity and prevents the transition from the bubble competition to the bubble merger regime at large initial amplitudes leading to higher α b than in the classical case. Due to the dependence of α b on initial perturbation and vorticity generation, ablative stabilization of the nonlinear ARTI is not as effective as previously anticipated for large initial perturbations.

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Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability

Cited by 34 publications

References 24 publications

Revisiting the late-time growth of single-mode Rayleigh–Taylor instability and the role of vorticity

Revisiting the late-time growth of single-mode Rayleigh–Taylor instability and the role of vorticity

Inviscid criterion for decomposing scales

Self-Similar Multimode Bubble-Front Evolution of the Ablative Rayleigh-Taylor Instability in Two and Three Dimensions

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