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

Yan, R.; Betti, R.; Sanz, J.; Aluie, H.; Liu, B.; Frank, A.

doi:10.1063/1.4940917

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

Journal Article · Tue Feb 02 00:00:00 EST 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4940917· OSTI ID:1239798

Yan, R. ^[1]; Betti, R. ^[2]; Sanz, J. ^[3]; Aluie, H. ^[2]; Liu, B. ^[2]; Frank, A. ^[2]

Univ. of Rochester, Rochester, NY (United States); Laboratory for Laser Energetics, University of Rochester, Rochester, NY
Univ. of Rochester, Rochester, NY (United States)
Univ. Politecnica de Madrid, Madrid (Spain)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Rochester, Rochester, NY (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: NA0001944; SC0014318

OSTI ID:: 1239798

Alternate ID(s):: OSTI ID: 1236654
OSTI ID: 22493885

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 23; ISSN 1070-664X; ISSN PHPAEN

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (24)

Three-dimensional simulations and analysis of the nonlinear stage of the Rayleigh-Taylor instability Hecht, J.; Ofer, D.; Alon, U. Laser and Particle Beams, Vol. 13, Issue 3 https://doi.org/10.1017/S026303460000954X	journal	September 1995
Analysis of a direct-drive ignition capsule designed for the National Ignition Facility McKenty, P. W.; Goncharov, V. N.; Town, R. P. J. Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1350571	journal	May 2001
Formation of jet-like spikes from the ablative Rayleigh-Taylor instability Wang, L. F.; Ye, W. H.; He, X. T. Physics of Plasmas, Vol. 19, Issue 10 https://doi.org/10.1063/1.4759161	journal	October 2012
Effects of local defect growth in direct-drive cryogenic implosions on OMEGA Igumenshchev, I. V.; Goncharov, V. N.; Shmayda, W. T. Physics of Plasmas, Vol. 20, Issue 8 https://doi.org/10.1063/1.4818280	journal	August 2013
Computations of three‐dimensional Rayleigh–Taylor instability Tryggvason, Grétar; Unverdi, Salih Ozen Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 5 https://doi.org/10.1063/1.857717	journal	May 1990
The effect of shape in the three‐dimensional ablative Rayleigh–Taylor instability. I: Single‐mode perturbations Dahlburg, J. P.; Gardner, J. H.; Doolen, G. D. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 2 https://doi.org/10.1063/1.860543	journal	February 1993
Self-consistent growth rate of the Rayleigh–Taylor instability in an ablatively accelerating plasma Takabe, H.; Mima, K.; Montierth, L. Physics of Fluids, Vol. 28, Issue 12 https://doi.org/10.1063/1.865099	journal	January 1985
Self‐consistent stability analysis of ablation fronts in inertial confinement fusion Betti, R.; Goncharov, V. N.; McCrory, R. L. Physics of Plasmas, Vol. 3, Issue 5 https://doi.org/10.1063/1.871664	journal	May 1996
Self‐consistent stability analysis of ablation fronts with large Froude numbers Goncharov, V. N.; Betti, R.; McCrory, R. L. Physics of Plasmas, Vol. 3, Issue 4 https://doi.org/10.1063/1.871730	journal	April 1996
Rayleigh–Taylor instability of steady ablation fronts: The discontinuity model revisited Piriz, A. R.; Sanz, J.; Ibañez, L. F. Physics of Plasmas, Vol. 4, Issue 4 https://doi.org/10.1063/1.872200	journal	April 1997
Growth rates of the ablative Rayleigh–Taylor instability in inertial confinement fusion Betti, R.; Goncharov, V. N.; McCrory, R. L. Physics of Plasmas, Vol. 5, Issue 5 https://doi.org/10.1063/1.872802	journal	May 1998
On the Instability of Superposed Fluids in a Gravitational Field. Layzer, David The Astrophysical Journal, Vol. 122 https://doi.org/10.1086/146048	journal	July 1955
SIMULATING MAGNETOHYDRODYNAMICAL FLOW WITH CONSTRAINED TRANSPORT AND ADAPTIVE MESH REFINEMENT: ALGORITHMS AND TESTS OF THE AstroBEAR CODE Cunningham, Andrew J.; Frank, Adam; Varnière, Peggy The Astrophysical Journal Supplement Series, Vol. 182, Issue 2 https://doi.org/10.1088/0067-0049/182/2/519	journal	May 2009
Nonlinear theory of the ablative Rayleigh–Taylor instability Sanz, J.; Betti, R.; Ramis, R. Plasma Physics and Controlled Fusion, Vol. 46, Issue 12B https://doi.org/10.1088/0741-3335/46/12B/032	journal	November 2004
On the Stability of Vortex Rings Widnall, S. E.; Sullivan, J. P. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 332, Issue 1590 https://doi.org/10.1098/rspa.1973.0029	journal	March 1973
Transport Phenomena in a Completely Ionized Gas Spitzer, Lyman; Härm, Richard Physical Review, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRev.89.977	journal	March 1953
Ablative Rayleigh-Taylor instability in three dimensions Dahlburg, Jill P.; Gardner, John H. Physical Review A, Vol. 41, Issue 10 https://doi.org/10.1103/PhysRevA.41.5695	journal	May 1990
Two- and three-dimensional behavior of Rayleigh-Taylor and Kelvin-Helmholtz instabilities Yabe, T.; Hoshino, H.; Tsuchiya, T. Physical Review A, Vol. 44, Issue 4 https://doi.org/10.1103/PhysRevA.44.2756	journal	August 1991
Three-dimensional Rayleigh-Taylor instability of spherical systems Sakagami, H.; Nishihara, K. Physical Review Letters, Vol. 65, Issue 4 https://doi.org/10.1103/PhysRevLett.65.432	journal	July 1990
Self-consistent Analytical Model of the Rayleigh-Taylor Instability in Inertial Confinement Fusion Sanz, J. Physical Review Letters, Vol. 73, Issue 20 https://doi.org/10.1103/PhysRevLett.73.2700	journal	November 1994
Three-Dimensional Single Mode Rayleigh-Taylor Experiments on Nova Marinak, M. M.; Remington, B. A.; Weber, S. V. Physical Review Letters, Vol. 75, Issue 20 https://doi.org/10.1103/PhysRevLett.75.3677	journal	November 1995
Nonlinear Rayleigh-Taylor Evolution of a Three-Dimensional Multimode Perturbation Marinak, M. M.; Glendinning, S. G.; Wallace, R. J. Physical Review Letters, Vol. 80, Issue 20 https://doi.org/10.1103/PhysRevLett.80.4426	journal	May 1998
Analytical Model of Nonlinear, Single-Mode, Classical Rayleigh-Taylor Instability at Arbitrary Atwood Numbers Goncharov, V. N. Physical Review Letters, Vol. 88, Issue 13 https://doi.org/10.1103/PhysRevLett.88.134502	journal	March 2002
Bubble Acceleration in the Ablative Rayleigh-Taylor Instability Betti, R.; Sanz, J. Physical Review Letters, Vol. 97, Issue 20 https://doi.org/10.1103/PhysRevLett.97.205002	journal	November 2006

Cited By (6)

Nonlinear Rayleigh–Taylor instability with horizontal magnetic field Banerjee, Rahul Indian Journal of Physics https://doi.org/10.1007/s12648-019-01521-8	journal	June 2019
Two mode coupling of the ablative Rayleigh-Taylor instabilities Xin, J.; Yan, R.; Wan, Z. -H. Physics of Plasmas, Vol. 26, Issue 3 https://doi.org/10.1063/1.5070103	journal	March 2019
From ICF to laboratory astrophysics: ablative and classical Rayleigh–Taylor instability experiments in turbulent-like regimes Casner, A.; Mailliet, C.; Rigon, G. Nuclear Fusion, Vol. 59, Issue 3 https://doi.org/10.1088/1741-4326/aae598	journal	December 2018
Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers Zhang, H.; Betti, R.; Gopalaswamy, V. Physical Review E, Vol. 97, Issue 1 https://doi.org/10.1103/physreve.97.011203	journal	January 2018
Self-Similar Multimode Bubble-Front Evolution of the Ablative Rayleigh-Taylor Instability in Two and Three Dimensions Zhang, H.; Betti, R.; Yan, R. Physical Review Letters, Vol. 121, Issue 18 https://doi.org/10.1103/physrevlett.121.185002	journal	October 2018
Baropycnal Work: A Mechanism for Energy Transfer across Scales Lees, Aarne; Aluie, Hussein Fluids, Vol. 4, Issue 2 https://doi.org/10.3390/fluids4020092	journal	May 2019

Similar Records

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

Journal Article · Sun Feb 14 23:00:00 EST 2016 · Physics of Plasmas · OSTI ID:22493885

Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers

Journal Article · Mon Jan 15 19:00:00 EST 2018 · Physical Review E · OSTI ID:1417637

Ablative Rayleigh-Taylor instability in three dimensions

Journal Article · Tue May 15 00:00:00 EDT 1990 · Physical Review, A (General Physics); (USA) · OSTI ID:6846478

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Rayleigh Taylor instabilities
bubble dynamics
kinematics
laser ablation
rotating flows

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

Citation Formats

References (24)

Cited By (6)

Similar Records

Related Subjects