DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

The nonlinear evolution of the single-mode ablative Rayleigh-Taylor instability is studied in three dimensions. As the mode wavelength approaches the cutoff of the linear spectrum (short-wavelength modes), it is found that the three-dimensional (3D) terminal bubble velocity greatly exceeds both the two-dimensional (2D) value and the classical 3D bubble velocity. Unlike in 2D, the 3D short-wavelength bubble velocity does not saturate. The growing 3D bubble acceleration is driven by the unbounded accumulation of vorticity inside the bubble. As a result, the vorticity is transferred by mass ablation from the Rayleigh-Taylor spikes to the ablated plasma filling the bubble volume.

Authors:
 [1];  [1];  [2];  [1];  [1];  [1]
  1. Univ. of Rochester, Rochester, NY (United States)
  2. Univ. Politecnica de Madrid, Madrid (Spain)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1239798
Alternate Identifier(s):
OSTI ID: 1236654
Grant/Contract Number:  
NA0001944; FG02-04ER54789; SC0014318; DEFG02- 04ER54789
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 2; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; bubble dynamics; Rayleigh Taylor instabilities; rotating flows; laser ablation; kinematics

Citation Formats

Yan, R., Betti, R., Sanz, J., Aluie, H., Liu, B., and Frank, A. Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability. United States: N. p., 2016. Web. doi:10.1063/1.4940917.
Yan, R., Betti, R., Sanz, J., Aluie, H., Liu, B., & Frank, A. Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability. United States. https://doi.org/10.1063/1.4940917
Yan, R., Betti, R., Sanz, J., Aluie, H., Liu, B., and Frank, A. Tue . "Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability". United States. https://doi.org/10.1063/1.4940917. https://www.osti.gov/servlets/purl/1239798.
@article{osti_1239798,
title = {Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability},
author = {Yan, R. and Betti, R. and Sanz, J. and Aluie, H. and Liu, B. and Frank, A.},
abstractNote = {The nonlinear evolution of the single-mode ablative Rayleigh-Taylor instability is studied in three dimensions. As the mode wavelength approaches the cutoff of the linear spectrum (short-wavelength modes), it is found that the three-dimensional (3D) terminal bubble velocity greatly exceeds both the two-dimensional (2D) value and the classical 3D bubble velocity. Unlike in 2D, the 3D short-wavelength bubble velocity does not saturate. The growing 3D bubble acceleration is driven by the unbounded accumulation of vorticity inside the bubble. As a result, the vorticity is transferred by mass ablation from the Rayleigh-Taylor spikes to the ablated plasma filling the bubble volume.},
doi = {10.1063/1.4940917},
journal = {Physics of Plasmas},
number = 2,
volume = 23,
place = {United States},
year = {Tue Feb 02 00:00:00 EST 2016},
month = {Tue Feb 02 00:00:00 EST 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Bubble Acceleration in the Ablative Rayleigh-Taylor Instability
journal, November 2006


Three-dimensional Rayleigh-Taylor instability of spherical systems
journal, July 1990


The effect of shape in the three‐dimensional ablative Rayleigh–Taylor instability. I: Single‐mode perturbations
journal, February 1993

  • Dahlburg, J. P.; Gardner, J. H.; Doolen, G. D.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 2
  • DOI: 10.1063/1.860543

Self‐consistent stability analysis of ablation fronts in inertial confinement fusion
journal, May 1996

  • Betti, R.; Goncharov, V. N.; McCrory, R. L.
  • Physics of Plasmas, Vol. 3, Issue 5
  • DOI: 10.1063/1.871664

Self‐consistent stability analysis of ablation fronts with large Froude numbers
journal, April 1996

  • Goncharov, V. N.; Betti, R.; McCrory, R. L.
  • Physics of Plasmas, Vol. 3, Issue 4
  • DOI: 10.1063/1.871730

Nonlinear theory of the ablative Rayleigh–Taylor instability
journal, November 2004


Three-dimensional simulations and analysis of the nonlinear stage of the Rayleigh-Taylor instability
journal, September 1995


Two- and three-dimensional behavior of Rayleigh-Taylor and Kelvin-Helmholtz instabilities
journal, August 1991


Ablative Rayleigh-Taylor instability in three dimensions
journal, May 1990


SIMULATING MAGNETOHYDRODYNAMICAL FLOW WITH CONSTRAINED TRANSPORT AND ADAPTIVE MESH REFINEMENT: ALGORITHMS AND TESTS OF THE AstroBEAR CODE
journal, May 2009

  • Cunningham, Andrew J.; Frank, Adam; Varnière, Peggy
  • The Astrophysical Journal Supplement Series, Vol. 182, Issue 2
  • DOI: 10.1088/0067-0049/182/2/519

Effects of local defect growth in direct-drive cryogenic implosions on OMEGA
journal, August 2013

  • Igumenshchev, I. V.; Goncharov, V. N.; Shmayda, W. T.
  • Physics of Plasmas, Vol. 20, Issue 8
  • DOI: 10.1063/1.4818280

Computations of three‐dimensional Rayleigh–Taylor instability
journal, May 1990

  • Tryggvason, Grétar; Unverdi, Salih Ozen
  • Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 5
  • DOI: 10.1063/1.857717

Transport Phenomena in a Completely Ionized Gas
journal, March 1953


Rayleigh–Taylor instability of steady ablation fronts: The discontinuity model revisited
journal, April 1997

  • Piriz, A. R.; Sanz, J.; Ibañez, L. F.
  • Physics of Plasmas, Vol. 4, Issue 4
  • DOI: 10.1063/1.872200

On the Stability of Vortex Rings
journal, March 1973

  • Widnall, S. E.; Sullivan, J. P.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 332, Issue 1590
  • DOI: 10.1098/rspa.1973.0029

Nonlinear Rayleigh-Taylor Evolution of a Three-Dimensional Multimode Perturbation
journal, May 1998


Self-consistent Analytical Model of the Rayleigh-Taylor Instability in Inertial Confinement Fusion
journal, November 1994


Growth rates of the ablative Rayleigh–Taylor instability in inertial confinement fusion
journal, May 1998

  • Betti, R.; Goncharov, V. N.; McCrory, R. L.
  • Physics of Plasmas, Vol. 5, Issue 5
  • DOI: 10.1063/1.872802

On the Instability of Superposed Fluids in a Gravitational Field.
journal, July 1955

  • Layzer, David
  • The Astrophysical Journal, Vol. 122
  • DOI: 10.1086/146048

Self-consistent growth rate of the Rayleigh–Taylor instability in an ablatively accelerating plasma
journal, January 1985

  • Takabe, H.; Mima, K.; Montierth, L.
  • Physics of Fluids, Vol. 28, Issue 12
  • DOI: 10.1063/1.865099

Three-Dimensional Single Mode Rayleigh-Taylor Experiments on Nova
journal, November 1995


Analysis of a direct-drive ignition capsule designed for the National Ignition Facility
journal, May 2001

  • McKenty, P. W.; Goncharov, V. N.; Town, R. P. J.
  • Physics of Plasmas, Vol. 8, Issue 5
  • DOI: 10.1063/1.1350571

Works referencing / citing this record:

Nonlinear Rayleigh–Taylor instability with horizontal magnetic field
journal, June 2019


Two mode coupling of the ablative Rayleigh-Taylor instabilities
journal, March 2019

  • Xin, J.; Yan, R.; Wan, Z. -H.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5070103

From ICF to laboratory astrophysics: ablative and classical Rayleigh–Taylor instability experiments in turbulent-like regimes
journal, December 2018


Baropycnal Work: A Mechanism for Energy Transfer across Scales
journal, May 2019