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

Abstract

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 (Rep) 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 Rep is sufficiently large, consistent with [Ramaparabhu et al. 2006, Wei and Livescu 2012]. However, unlike in [Ramaparabhu et al. 2006], we find that for a sufficiently high Rep, 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 modifymore » 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 Rep 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 Rep thresholds.« less

Authors:

Bian, Xin ^[1]; Aluie, Hussein ^[1]; Zhao, Dongxiao ^[1]; Zhang, Huasen ^[1]; Livescu, Daniel  ^[2]

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+ Show Author Affiliations

1. Univ. of Rochester, NY (United States)
2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:

Mon Nov 11 00:00:00 EST 2019

Research Org.:

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Rochester, NY (United States). Lab. for Laser Energetics

Sponsoring Org.:

USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:

1574757

Alternate Identifier(s):

OSTI ID: 1599478; OSTI ID: 1604426; OSTI ID: 1633508

Report Number(s):

LA-UR-19-26670; 2019-250, 2508, 1552
Journal ID: ISSN 0167-2789; TRN: US2100012

Grant/Contract Number:  

89233218CNA000001; NA0003856; SC0014318; SC002022; SC001932; NA0003914; AC02-05CH11231

Resource Type:

Accepted Manuscript

Journal Name:

Physica. D, Nonlinear Phenomena

Additional Journal Information:

Journal Volume: 403; Journal Issue: C; Journal ID: ISSN 0167-2789

Publisher:

Elsevier

Country of Publication:

United States

Language:

English

Subject:

42 ENGINEERING; Rayleigh-Taylor instability; nonlinear instability; vorticity; turbulence; Rayleigh-Taylor instability, nonlinear instability, vorticity, turbulence; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY