Degradation of performance in ICF implosions due to Rayleigh–Taylor instabilities: A Hamiltonian perspective

Ruiz, Daniel Edward

doi:10.1063/5.0233454

Degradation of performance in ICF implosions due to Rayleigh–Taylor instabilities: A Hamiltonian perspective

Journal Article · Tue Dec 24 00:00:00 EST 2024 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0233454· OSTI ID:2483773

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Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

The Rayleigh–Taylor instability (RTI) is an ubiquitous phenomenon that occurs in inertial-confinement-fusion (ICF) implosions and is recognized as an important limiting factor of ICF performance. To analytically understand the RTI dynamics and its impact on ICF capsule implosions, we develop a first-principle variational theory that describes an imploding spherical shell undergoing RTI. The model is based on a thin-shell approximation and includes the dynamical coupling between the imploding spherical shell and an adiabatically compressed fluid within its interior. Using a quasilinear analysis, we study the degradation trends of key ICF performance metrics (e.g., stagnation pressure, residual kinetic energy, and areal density) as functions of initial RTI parameters (e.g., the initial amplitude and Legendre mode), as well as the 1D implosion characteristics (e.g., the convergence ratio). We compare analytical results from the theory against nonlinear results obtained by numerically integrating the governing equations of this reduced model. Our findings emphasize the need to incorporate polar flows in the calculation of residual kinetic energy and demonstrate that higher convergence ratios in ICF implosions lead to significantly greater degradation of key performance metrics.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 2483773

Alternate ID(s):: OSTI ID: 2505119

Report Number(s):: SAND-2025-00760J

Journal Information:: Physics of Plasmas, Vol. 31, Issue 12; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (57)

Laser Compression of Matter to Super-High Densities: Thermonuclear (CTR) Applications Nuckolls, John; Wood, Lowell; Thiessen, Albert Nature, Vol. 239, Issue 5368, p. 139-142 https://doi.org/10.1038/239139a0	journal	September 1972
The physics basis for ignition using indirect-drive targets on the National Ignition Facility Lindl, John D.; Amendt, Peter; Berger, Richard L. Physics of Plasmas, Vol. 11, Issue 2 https://doi.org/10.1063/1.1578638	journal	February 2004
Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment Abu-Shawareb, H.; Acree, R.; Adams, P. Physical Review Letters, Vol. 129, Issue 7 https://doi.org/10.1103/PhysRevLett.129.075001	journal	August 2022
Achievement of Target Gain Larger than Unity in an Inertial Fusion Experiment Abu-Shawareb, H.; Acree, R.; Adams, P. Physical Review Letters, Vol. 132, Issue 6 https://doi.org/10.1103/PhysRevLett.132.065102	journal	February 2024
Inertially confined fusion plasmas dominated by alpha-particle self-heating Hurricane, O. A.; Callahan, D. A.; Casey, D. T. Nature Physics, Vol. 12, Issue 8 https://doi.org/10.1038/nphys3720	journal	April 2016
Diagnosing the origin and impact of low-mode asymmetries in ignition experiments at the National Ignition Facility Casey, D.; MacGowan, B.; Hurricane, O. Physical Review E, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevE.108.L053203	journal	November 2023
Azimuthal Drive Asymmetry in Inertial Confinement Fusion Implosions on the National Ignition Facility Rinderknecht, Hans G.; Casey, D. T.; Hatarik, R. Physical Review Letters, Vol. 124, Issue 14 https://doi.org/10.1103/PhysRevLett.124.145002	journal	April 2020
Observation of Hydrodynamic Flows in Imploding Fusion Plasmas on the National Ignition Facility Schlossberg, D. J.; Grim, G. P.; Casey, D. T. Physical Review Letters, Vol. 127, Issue 12 https://doi.org/10.1103/PhysRevLett.127.125001	journal	September 2021
Mitigation of mode-one asymmetry in laser-direct-drive inertial confinement fusion implosions Mannion, O. M.; Igumenshchev, I. V.; Anderson, K. S. Physics of Plasmas, Vol. 28, Issue 4 https://doi.org/10.1063/5.0041554	journal	April 2021
Analysis of core asymmetries in inertial confinement fusion implosions using three-dimensional hot-spot reconstruction Woo, K. M.; Betti, R.; Thomas, C. A. Physics of Plasmas, Vol. 29, Issue 8 https://doi.org/10.1063/5.0102167	journal	August 2022
Evidence of Three-Dimensional Asymmetries Seeded by High-Density Carbon-Ablator Nonuniformity in Experiments at the National Ignition Facility Casey, D. T.; MacGowan, B. J.; Sater, J. D. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.025002	journal	January 2021
Numerical Modeling of the Sensitivity of X-Ray Driven Implosions to Low-Mode Flux Asymmetries Scott, R. H. H.; Clark, D. S.; Bradley, D. K. Physical Review Letters, Vol. 110, Issue 7 https://doi.org/10.1103/PhysRevLett.110.075001	journal	February 2013
Mode 1 drive asymmetry in inertial confinement fusion implosions on the National Ignition Facility Spears, Brian K.; Edwards, M. J.; Hatchett, S. Physics of Plasmas, Vol. 21, Issue 4 https://doi.org/10.1063/1.4870390	journal	April 2014
Metrics for long wavelength asymmetries in inertial confinement fusion implosions on the National Ignition Facility Kritcher, A. L.; Town, R.; Bradley, D. Physics of Plasmas, Vol. 21, Issue 4 https://doi.org/10.1063/1.4871718	journal	April 2014
Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility Clark, D. S.; Weber, C. R.; Milovich, J. L. Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4943527	journal	March 2016
The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics Bose, A.; Betti, R.; Shvarts, D. Physics of Plasmas, Vol. 24, Issue 10 https://doi.org/10.1063/1.4995250	journal	October 2017
Analysis of trends in experimental observables: Reconstruction of the implosion dynamics and implications for fusion yield extrapolation for direct-drive cryogenic targets on OMEGA Bose, A.; Betti, R.; Mangino, D. Physics of Plasmas, Vol. 25, Issue 6 https://doi.org/10.1063/1.5026780	journal	June 2018
Effects of residual kinetic energy on yield degradation and ion temperature asymmetries in inertial confinement fusion implosions Woo, K. M.; Betti, R.; Shvarts, D. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5026706	journal	May 2018
Impact of three-dimensional hot-spot flow asymmetry on ion-temperature measurements in inertial confinement fusion experiments Woo, K. M.; Betti, R.; Shvarts, D. Physics of Plasmas, Vol. 25, Issue 10 https://doi.org/10.1063/1.5048429	journal	October 2018
3D Simulations Capture the Persistent Low-Mode Asymmetries Evident in Laser-Direct-Drive Implosions on OMEGA Colaïtis, A.; Turnbull, D. P.; Igumenschev, I. V. Physical Review Letters, Vol. 129, Issue 9 https://doi.org/10.1103/PhysRevLett.129.095001	journal	August 2022
Correlations between asymmetric compression, burn amplification, and hot-spot velocities in inertial confinement fusion implosions Nora, R. C.; Birge, N.; Casey, D. Physics of Plasmas, Vol. 30, Issue 9 https://doi.org/10.1063/5.0153421	journal	September 2023
An analytic asymmetric-piston model for the impact of mode-1 shell asymmetry on ICF implosions Hurricane, O. A.; Casey, D. T.; Landen, O. Physics of Plasmas, Vol. 27, Issue 6 https://doi.org/10.1063/5.0001335	journal	June 2020
Extensions of a classical mechanics “piston-model” for understanding the impact of asymmetry on ICF implosions: The cases of mode 2, mode 2/1 coupling, time-dependent asymmetry, and the relationship to coast-time Hurricane, O. A.; Casey, D. T.; Landen, O. Physics of Plasmas, Vol. 29, Issue 1 https://doi.org/10.1063/5.0067699	journal	January 2022
Impact of areal-density asymmetries on the loss of confinement and ignition threshold in inertial confinement fusion capsules Woo, K. M.; Betti, R. Physics of Plasmas, Vol. 28, Issue 5 https://doi.org/10.1063/5.0045317	journal	May 2021
Investigation of the Character of the Equilibrium of an Incompressible Heavy Fluid of Variable Density No authors listed Proceedings of the London Mathematical Society, Vol. s1-14, Issue 1 https://doi.org/10.1112/plms/s1-14.1.170	journal	November 1882
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
Achieving record hot spot energies with large HDC implosions on NIF in HYBRID-E Kritcher, A. L.; Zylstra, A. B.; Callahan, D. A. Physics of Plasmas, Vol. 28, Issue 7 https://doi.org/10.1063/5.0047841	journal	July 2021
Design of an inertial fusion experiment exceeding the Lawson criterion for ignition Kritcher, A. L.; Zylstra, A. B.; Callahan, D. A. Physical Review E, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevE.106.025201	journal	August 2022
Nonlinear Evolution of the Rayleigh-Taylor Instability of a Thin Layer Ott, Edward Physical Review Letters, Vol. 29, Issue 21 https://doi.org/10.1103/PhysRevLett.29.1429	journal	November 1972
Pseudo-three-dimensional simulation on stability of thin shell target implosion Taguchi, Toshihiro; Mima, Kunioki Physics of Plasmas, Vol. 2, Issue 7 https://doi.org/10.1063/1.871177	journal	July 1995
Suppression of the Rayleigh–Taylor instability through accretion Book, David L. Physics of Plasmas, Vol. 3, Issue 1 https://doi.org/10.1063/1.871859	journal	January 1996
A 3D dynamic model to assess the impacts of low-mode asymmetry, aneurysms and mix-induced radiative loss on capsule performance across inertial confinement fusion platforms Springer, P. T.; Hurricane, O. A.; Hammer, J. H. Nuclear Fusion, Vol. 59, Issue 3 https://doi.org/10.1088/1741-4326/aaed65	journal	December 2018
On the correspondence between quantum and classical variational principles Ruiz, D. E.; Dodin, I. Y. Physics Letters A, Vol. 379, Issue 40-41 https://doi.org/10.1016/j.physleta.2015.06.014	journal	October 2015
First-principles variational formulation of polarization effects in geometrical optics Ruiz, D. E.; Dodin, I. Y. Physical Review A, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevA.92.043805	journal	October 2015
Extending geometrical optics: A Lagrangian theory for vector waves Ruiz, D. E.; Dodin, I. Y. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4977537	journal	May 2017
Ponderomotive dynamics of waves in quasiperiodically modulated media Ruiz, D. E.; Dodin, I. Y. Physical Review A, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevA.95.032114	journal	March 2017
Variational nonlinear WKB in the Eulerian frame Burby, J. W.; Ruiz, D. E. Journal of Mathematical Physics, Vol. 61, Issue 5 https://doi.org/10.1063/1.5099383	journal	May 2020
On a variational formulation of the weakly nonlinear magnetic Rayleigh–Taylor instability Ruiz, D. E. Physics of Plasmas, Vol. 27, Issue 2 https://doi.org/10.1063/1.5132750	journal	February 2020
Harmonic Generation and Inverse Cascade in the z-Pinch Driven, Preseeded Multimode, Magneto-Rayleigh-Taylor Instability Ruiz, D. E.; Yager-Elorriaga, D. A.; Peterson, K. J. Physical Review Letters, Vol. 128, Issue 25 https://doi.org/10.1103/PhysRevLett.128.255001	journal	June 2022
Deceleration phase of inertial confinement fusion implosions Betti, R.; Anderson, K.; Goncharov, V. N. Physics of Plasmas, Vol. 9, Issue 5 https://doi.org/10.1063/1.1459458	journal	May 2002
A comprehensive alpha-heating model for inertial confinement fusion Christopherson, A. R.; Betti, R.; Bose, A. Physics of Plasmas, Vol. 25, Issue 1 https://doi.org/10.1063/1.4991405	journal	January 2018
A conservative approach to scaling magneto-inertial fusion concepts to larger pulsed-power drivers Schmit, P. F.; Ruiz, D. E. Physics of Plasmas, Vol. 27, Issue 6 https://doi.org/10.1063/1.5135716	journal	June 2020
Exploring the parameter space of MagLIF implosions using similarity scaling. I. Theoretical framework Ruiz, D. E.; Schmit, P. F.; Yager-Elorriaga, D. A. Physics of Plasmas, Vol. 30, Issue 3 https://doi.org/10.1063/5.0126696	journal	March 2023
Hot-spot dynamics and deceleration-phase Rayleigh–Taylor instability of imploding inertial confinement fusion capsules Betti, R.; Umansky, M.; Lobatchev, V. Physics of Plasmas, Vol. 8, Issue 12 https://doi.org/10.1063/1.1412006	journal	December 2001
Theory of alpha heating in inertial fusion: Alpha-heating metrics and the onset of the burning-plasma regime Christopherson, A. R.; Betti, R.; Howard, J. Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5030337	journal	July 2018
Approaching a burning plasma on the NIF Hurricane, O. A.; Springer, P. T.; Patel, P. K. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5087256	journal	May 2019
A general approach to linear and non-linear dispersive waves using a Lagrangian Whitham, G. B. Journal of Fluid Mechanics, Vol. 22, Issue 2 https://doi.org/10.1017/S0022112065000745	journal	June 1965
Variational principles for reduced plasma physics Brizard, Alain J. Journal of Physics: Conference Series, Vol. 169 https://doi.org/10.1088/1742-6596/169/1/012003	journal	May 2009
Geometric view on noneikonal waves Dodin, I. Y. Physics Letters A, Vol. 378, Issue 22-23 https://doi.org/10.1016/j.physleta.2014.04.004	journal	April 2014
Ponderomotive Forces on Waves in Modulated Media Dodin, I. Y.; Fisch, N. J. Physical Review Letters, Vol. 112, Issue 20 https://doi.org/10.1103/PhysRevLett.112.205002	journal	May 2014
Variational principles for dissipative (sub)systems, with applications to the theory of linear dispersion and geometrical optics Dodin, I. Y.; Zhmoginov, A. I.; Ruiz, D. E. Physics Letters A, Vol. 381, Issue 16 https://doi.org/10.1016/j.physleta.2017.02.023	journal	April 2017
On the Stability of Fluid Flows with Spherical Symmetry Plesset, M. S. Journal of Applied Physics, Vol. 25, Issue 1 https://doi.org/10.1063/1.1721529	journal	January 1954
Bell-Plesset effects in Rayleigh-Taylor instability of finite-thickness spherical and cylindrical shells Velikovich, A. L.; Schmit, P. F. Physics of Plasmas, Vol. 22, Issue 12 https://doi.org/10.1063/1.4938272	journal	December 2015
Ablative Acceleration of Laser-Irradiated Thin-Foil Targets Decoste, R.; Bodner, S. E.; Ripin, B. H. Physical Review Letters, Vol. 42, Issue 25 https://doi.org/10.1103/PhysRevLett.42.1673	journal	June 1979
Efficient Shell Implosion and Target Design Murakami, Masakatsu; Nishihara, Katsunobu Japanese Journal of Applied Physics, Vol. 26, Issue 7R https://doi.org/10.1143/JJAP.26.1132	journal	July 1987
A simple model to scope out parameter space for indirect drive designs on NIF Callahan, D. A.; Hurricane, O. A.; Kritcher, A. L. Physics of Plasmas, Vol. 27, Issue 7 https://doi.org/10.1063/5.0006217	journal	July 2020
A thermodynamic condition for ignition and burn-propagation in cryogenic layer inertially confined fusion implosions Hurricane, O. A.; Maclaren, S. A.; Rosen, M. D. Physics of Plasmas, Vol. 28, Issue 2 https://doi.org/10.1063/5.0035583	journal	February 2021

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