Nonlinear bubble competition of the multimode ablative Rayleigh–Taylor instability and applications to inertial confinement fusion

Zhang, Huasen; Betti, R.; Yan, Rui; Aluie, Hussein

doi:10.1063/5.0023541

Nonlinear bubble competition of the multimode ablative Rayleigh–Taylor instability and applications to inertial confinement fusion

Journal Article · Tue Dec 08 23:00:00 EST 2020 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0023541· OSTI ID:1749944

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Univ. of Rochester, NY (United States); Inst. of Applied Physics and Computational Mathematics, Beijing (China); UNIVERSITY OF ROCHESTER
Univ. of Rochester, NY (United States)
Univ. of Science and Technology of China, Hefei (China); Shanghai Jiao Tong Univ. (China)

The self-similar nonlinear evolution of the multimode ablative Rayleigh–Taylor instability (RTI) and the ablation-generated vorticity effect are studied for a range of initial conditions. We show that, unlike classical RTI, the nonlinear multimode bubble-front evolution remains in the bubble competition regime due to ablation-generated vorticity, which accelerates the bubbles, thereby preventing a transition into the bubble-merger regime. We develop an analytical bubble competition model to describe the linear and nonlinear stages of ablative RTI. Here, we show that vorticity inside the multimode bubbles is most significant at small scales with large initial perturbation. Since these small scales persist in the bubble competition regime, the self-similar growth coefficient ab can be enhanced by up to 30% relative to ablative bubble competition without vorticity effects. We use the ablative bubble competition model to explain the hydrodynamic stability boundary observed in OMEGA low-adiabat implosion experiments.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); NASA; National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: SC0014318; SC0020229; SC0019329

OSTI ID:: 1749944

Alternate ID(s):: OSTI ID: 1735770
OSTI ID: 1762157
OSTI ID: 1778861

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 27; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (40)

Revisiting the late-time growth of single-mode Rayleigh–Taylor instability and the role of vorticity Bian, Xin; Aluie, Hussein; Zhao, Dongxiao Physica D: Nonlinear Phenomena, Vol. 403 https://doi.org/10.1016/j.physd.2019.132250	journal	February 2020
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I Zhou, Ye Physics Reports, Vol. 720-722 https://doi.org/10.1016/j.physrep.2017.07.005	journal	December 2017
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. II Zhou, Ye Physics Reports, Vol. 723-725 https://doi.org/10.1016/j.physrep.2017.07.008	journal	December 2017
A numerical study of the influence of initial perturbations on the turbulent Rayleigh–Taylor instability Ramaprabhu, P.; Dimonte, Guy; Andrews, M. J. Journal of Fluid Mechanics, Vol. 536 https://doi.org/10.1017/S002211200500488X	journal	July 2005
Inertial-confinement fusion with lasers Betti, R.; Hurricane, O. A. Nature Physics, Vol. 12, Issue 5 https://doi.org/10.1038/nphys3736	journal	May 2016
A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration Dimonte, Guy; Youngs, D. L.; Dimits, A. Physics of Fluids, Vol. 16, Issue 5 https://doi.org/10.1063/1.1688328	journal	May 2004
Recent advances in the turbulent Rayleigh–Taylor instability Dimonte, Guy; Ramaprabhu, P.; Youngs, D. L. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1871952	journal	May 2005
Theory of hydro-equivalent ignition for inertial fusion and its applications to OMEGA and the National Ignition Facility Nora, R.; Betti, R.; Anderson, K. S. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4875331	journal	May 2014
Improving the hot-spot pressure and demonstrating ignition hydrodynamic equivalence in cryogenic deuterium–tritium implosions on OMEGA Goncharov, V. N.; Sangster, T. C.; Betti, R. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4876618	journal	May 2014
Design of magnetized liner inertial fusion experiments using the Z facility Sefkow, A. B.; Slutz, S. A.; Koning, J. M. Physics of Plasmas, Vol. 21, Issue 7 https://doi.org/10.1063/1.4890298	journal	July 2014
Probing the deep nonlinear stage of the ablative Rayleigh-Taylor instability in indirect drive experiments on the National Ignition Facilitya) Casner, A.; Masse, L.; Liberatore, S. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4918356	journal	May 2015
Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability Yan, R.; Betti, R.; Sanz, J. Physics of Plasmas, Vol. 23, Issue 2 https://doi.org/10.1063/1.4940917	journal	February 2016
Laser-driven magnetized liner inertial fusion on OMEGA Barnak, D. H.; Davies, J. R.; Betti, R. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4982692	journal	May 2017
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
Weakly nonlinear hydrodynamic instabilities in inertial fusion Haan, S. W. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 8 https://doi.org/10.1063/1.859603	journal	August 1991
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
Validation of the Sharp–Wheeler bubble merger model from experimental and computational data Glimm, J.; Li, X. L. Physics of Fluids, Vol. 31, Issue 8 https://doi.org/10.1063/1.866660	journal	January 1988
Self‐consistent cutoff wave number of the ablative Rayleigh–Taylor instability Betti, R.; Goncharov, V. N.; McCrory, R. L. Physics of Plasmas, Vol. 2, Issue 10 https://doi.org/10.1063/1.871083	journal	October 1995
Self‐consistent stability analysis of ablation fronts with small Froude numbers Goncharov, V. N.; Betti, R.; McCrory, R. L. Physics of Plasmas, Vol. 3, Issue 12 https://doi.org/10.1063/1.872078	journal	December 1996
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
Scaling laws of the Rayleigh–Taylor ablation front mixing zone evolution in inertial confinement fusion Oron, D.; Alon, U.; Shvarts, D. Physics of Plasmas, Vol. 5, Issue 5 https://doi.org/10.1063/1.872805	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
The Physics of Inertial Fusion Atzeni, Stefano; Meyer-ter-Vehn, Jürgen https://doi.org/10.1093/acprof:oso/9780198562641.001.0001	book	January 2004
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I Taylor, Geoffrey Ingram Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 201, Issue 1065, p. 192-196 https://doi.org/10.1098/rspa.1950.0052	journal	March 1950
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
Onset of nonlinear saturation for Rayleigh-Taylor growth in the presence of a full spectrum of modes Haan, Steven W. Physical Review A, Vol. 39, Issue 11 https://doi.org/10.1103/PhysRevA.39.5812	journal	June 1989
Dependence of turbulent Rayleigh-Taylor instability on initial perturbations Dimonte, Guy Physical Review E, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevE.69.056305	journal	May 2004
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
Evidence for a Bubble-Competition Regime in Indirectly Driven Ablative Rayleigh-Taylor Instability Experiments on the NIF Martinez, D. A.; Smalyuk, V. A.; Kane, J. O. Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.215004	journal	May 2015
Publisher’s Note: Demonstration of Fuel Hot-Spot Pressure in Excess of 50 Gbar for Direct-Drive, Layered Deuterium-Tritium Implosions on OMEGA [Phys. Rev. Lett. 117 , 025001 (2016)] Regan, S. P.; Goncharov, V. N.; Igumenshchev, I. V. Physical Review Letters, Vol. 117, Issue 5 https://doi.org/10.1103/PhysRevLett.117.059903	journal	July 2016
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
Chaotic mixing as a renormalization-group fixed point Glimm, J.; Sharp, D. H. Physical Review Letters, Vol. 64, Issue 18 https://doi.org/10.1103/PhysRevLett.64.2137	journal	April 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
Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios Alon, U.; Hecht, J.; Ofer, D. Physical Review Letters, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevLett.74.534	journal	January 1995
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
Observation of Self-Similar Behavior of the 3D, Nonlinear Rayleigh-Taylor Instability Sadot, O.; Smalyuk, V. A.; Delettrez, J. A. Physical Review Letters, Vol. 95, Issue 26 https://doi.org/10.1103/PhysRevLett.95.265001	journal	December 2005
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
Experimental astrophysics with high power lasers and Z pinches Remington, Bruce A.; Drake, R. Paul; Ryutov, Dmitri D. Reviews of Modern Physics, Vol. 78, Issue 3 https://doi.org/10.1103/RevModPhys.78.755	journal	August 2006
Thermonuclear Supernovae: Simulations of the Deflagration Stage and Their Implications Gamezo, V. N. Science, Vol. 299, Issue 5603 https://doi.org/10.1126/science.1078129	journal	November 2002
Vertical Mixing, Energy, and the General Circulation of the Oceans Wunsch, Carl; Ferrari, Raffaele Annual Review of Fluid Mechanics, Vol. 36, Issue 1 https://doi.org/10.1146/annurev.fluid.36.050802.122121	journal	January 2004

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