On a variational formulation of the weakly nonlinear magnetic-Rayleigh--Taylor instability.

Ruiz, Daniel Edward

doi:10.1063/1.5132750

On a variational formulation of the weakly nonlinear magnetic-Rayleigh--Taylor instability.

Conference · Sun Sep 01 00:00:00 EDT 2019

DOI:https://doi.org/10.1063/1.5132750· OSTI ID:1646039

Ruiz, Daniel Edward

Abstract not provided.

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

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

DOE Contract Number:: AC04-94AL85000

OSTI ID:: 1646039

Report Number(s):: SAND2019-11677PE; 679948

Country of Publication:: United States

Language:: English

References (67)

Discrete helical modes in imploding and exploding cylindrical, magnetized liners Yager-Elorriaga, D. A.; Zhang, P.; Steiner, A. M. Physics of Plasmas, Vol. 23, Issue 12 https://doi.org/10.1063/1.4969082	journal	December 2016
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
Taylor Instability of the Interface between Superposed Fluids -Solution by Successive Approximations Ingraham, R. L. Proceedings of the Physical Society. Section B, Vol. 67, Issue 10 https://doi.org/10.1088/0370-1301/67/10/302	journal	October 1954
Growth of Rayleigh-Taylor and bulk convective instabilities during compression and expansion of Z pinches and plasma liners Bud’ko, A. B.; Liberman, M. A.; Velikovich, A. L. AIP Conference Proceedings https://doi.org/10.1063/1.38875	conference	January 1989
Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion Gomez, M. R.; Slutz, S. A.; Sefkow, A. B. Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.155003	journal	October 2014
Fast z-pinches as dense plasma, intense x-ray sources for plasma physics and fusion applications Matzen, M. K.; Deeney, C.; Leeper, R. J. Plasma Physics and Controlled Fusion, Vol. 41, Issue 3A https://doi.org/10.1088/0741-3335/41/3A/011	journal	January 1999
Effect of shear flow and magnetic field on the Rayleigh–Taylor instability Zhang, Wenlu; Wu, Zhengwei; Li, Ding Physics of Plasmas, Vol. 12, Issue 4 https://doi.org/10.1063/1.1872892	journal	April 2005
Theory of wire number scaling in wire-array Z pinches Desjarlais, M. P.; Marder, B. M. Physics of Plasmas, Vol. 6, Issue 5 https://doi.org/10.1063/1.873460	journal	May 1999
Magnetized Target Fusion: An Overview Kirkpatrick, Ronald C.; Lindemuth, Irvin R.; Ward, Marjorie S. Fusion Technology, Vol. 27, Issue 3 https://doi.org/10.13182/FST95-A30382	journal	May 1995
The physics of fast Z pinches Ryutov, D. D.; Derzon, M. S.; Matzen, M. K. Reviews of Modern Physics, Vol. 72, Issue 1 https://doi.org/10.1103/RevModPhys.72.167	journal	January 2000
Evolution of helical perturbations in a thin-shell model of an imploding liner Ryutov, D. D.; Dorf, M. A. Physics of Plasmas, Vol. 21, Issue 11 https://doi.org/10.1063/1.4901197	journal	November 2014
Experimental measurements of a converging flux conserver suitable for compressing a field reversed configuration for magnetized target fusion Intrator, T.; Taccetti, M.; Clark, D. A. Nuclear Fusion, Vol. 42, Issue 2 https://doi.org/10.1088/0029-5515/42/2/313	journal	February 2002
Effect of Core-Corona Plasma Structure on Seeding of Instabilities in Wire Array Z Pinches Lebedev, S. V.; Beg, F. N.; Bland, S. N. Physical Review Letters, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevLett.85.98	journal	July 2000
Helical instability in MagLIF due to axial flux compression by low-density plasma Seyler, C. E.; Martin, M. R.; Hamlin, N. D. Physics of Plasmas, Vol. 25, Issue 6 https://doi.org/10.1063/1.5028365	journal	June 2018
Gram Stain and Culture of Sputum to Diagnose Bacterial Pneumonia Musher, D. M. Journal of Infectious Diseases, Vol. 152, Issue 5 https://doi.org/10.1093/infdis/152.5.1096	journal	November 1985
Effect of axial magnetic flux compression on the magnetic Rayleigh-Taylor instability (theory) Ryutov, D. D.; Awe, T. J.; Hansen, S. B. 9TH INTERNATIONAL CONFERENCE ON DENSE Z PINCHES, AIP Conference Proceedings https://doi.org/10.1063/1.4904778	conference	January 2014
Radiation sources with planar wire arrays and planar foils for inertial confinement fusion and high energy density physics research Kantsyrev, V. L.; Chuvatin, A. S.; Safronova, A. S. Physics of Plasmas, Vol. 21, Issue 3 https://doi.org/10.1063/1.4865367	journal	March 2014
Direct measurement of the inertial confinement time in a magnetically driven implosion Knapp, P. F.; Martin, M. R.; Dolan, D. H. Physics of Plasmas, Vol. 24, Issue 4 https://doi.org/10.1063/1.4981206	journal	April 2017
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
A variational principle for a fluid with a free surface Luke, J. C. Journal of Fluid Mechanics, Vol. 27, Issue 2 https://doi.org/10.1017/S0022112067000412	journal	February 1967
Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion McBride, R. D.; Martin, M. R.; Lemke, R. W. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4803079	journal	May 2013
Controlling Rayleigh-Taylor Instabilities in Magnetically Driven Solid Metal Shells by Means of a Dynamic Screw Pinch Schmit, P. F.; Velikovich, A. L.; McBride, R. D. Physical Review Letters, Vol. 117, Issue 20 https://doi.org/10.1103/PhysRevLett.117.205001	journal	November 2016
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
High Energy Density Z -Pinch Plasma Conditions with Picosecond Time Resolution Pikuz, S. A.; Sinars, D. B.; Shelkovenko, T. A. Physical Review Letters, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevLett.89.035003	journal	June 2002
Effects of magnetic shear on magneto-Rayleigh-Taylor instability Zhang, Peng; Lau, Y. Y.; Rittersdorf, I. M. Physics of Plasmas, Vol. 19, Issue 2 https://doi.org/10.1063/1.3680646	journal	February 2012
Perturbation theory and numerical modelling of weakly and moderately nonlinear dynamics of the incompressible Richtmyer–Meshkov instability Velikovich, A. L.; Herrmann, M.; Abarzhi, S. I. Journal of Fluid Mechanics, Vol. 751 https://doi.org/10.1017/jfm.2014.312	journal	June 2014
Target Plasma Formation for Magnetic Compression/Magnetized Target Fusion Lindemuth, I. R.; Reinovsky, R. E.; Chrien, R. E. Physical Review Letters, Vol. 75, Issue 10 https://doi.org/10.1103/PhysRevLett.75.1953	journal	September 1995
High-Gain Magnetized Inertial Fusion Slutz, Stephen A.; Vesey, Roger A. Physical Review Letters, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevLett.108.025003	journal	January 2012
Seeded and unseeded helical modes in magnetized, non-imploding cylindrical liner-plasmas Yager-Elorriaga, D. A.; Zhang, P.; Steiner, A. M. Physics of Plasmas, Vol. 23, Issue 10 https://doi.org/10.1063/1.4965240	journal	October 2016
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field Harris, E. G. Physics of Fluids, Vol. 5, Issue 9 https://doi.org/10.1063/1.1724473	journal	January 1962
Magneto-Rayleigh-Taylor instability in solid media Sun, Y. B.; Piriz, A. R. Physics of Plasmas, Vol. 21, Issue 7 https://doi.org/10.1063/1.4890569	journal	July 2014
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
Nonlinear Perturbation Theory of the Incompressible Richtmyer-Meshkov Instability Velikovich, Alexander L.; Dimonte, Guy Physical Review Letters, Vol. 76, Issue 17 https://doi.org/10.1103/PhysRevLett.76.3112	journal	April 1996
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
Three-dimensional Rayleigh-Taylor instability Part 1. Weakly nonlinear theory Jacobs, J. W.; Catton, I. Journal of Fluid Mechanics, Vol. 187 https://doi.org/10.1017/S002211208800045X	journal	February 1988
Rayleigh–Taylor eigenmodes of a thin layer in the nonlinear regime Basko, Mikhail M. Physics of Plasmas, Vol. 1, Issue 5 https://doi.org/10.1063/1.870725	journal	May 1994
Finite Larmor radius magnetohydrodynamics of the Rayleigh–Taylor instability Huba, J. D. Physics of Plasmas, Vol. 3, Issue 7 https://doi.org/10.1063/1.871970	journal	July 1996
Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners Sinars, D. B.; Slutz, S. A.; Herrmann, M. C. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3560911	journal	May 2011
Hamiltonian approach to the description of non-linear plasma phenomena Zakharov, V. E.; Musher, S. L.; Rubenchik, A. M. Physics Reports, Vol. 129, Issue 5 https://doi.org/10.1016/0370-1573(85)90040-7	journal	December 1985
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field Slutz, S. A.; Herrmann, M. C.; Vesey, R. A. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3333505	journal	May 2010
Measurements of Magneto-Rayleigh-Taylor Instability Growth during the Implosion of Initially Solid Al Tubes Driven by the 20-MA, 100-ns Z Facility Sinars, D. B.; Slutz, S. A.; Herrmann, M. C. Physical Review Letters, Vol. 105, Issue 18 https://doi.org/10.1103/PhysRevLett.105.185001	journal	October 2010
A weakly nonlinear theory for the dynamical Rayleigh–Taylor instability Berning, M.; Rubenchik, A. M. Physics of Fluids, Vol. 10, Issue 7 https://doi.org/10.1063/1.869677	journal	July 1998
Magneto-Rayleigh–Taylor instability in compressible Z-pinch liner plasmas Yang, Xue; Xiao, De-Long; Ding, Ning Chinese Physics B, Vol. 26, Issue 7 https://doi.org/10.1088/1674-1056/26/7/075202	journal	June 2017
Two‐dimensional modeling of magnetically driven Rayleigh–Taylor instabilities in cylindrical Z pinches Peterson, D. L.; Bowers, R. L.; Brownell, J. H. Physics of Plasmas, Vol. 3, Issue 1 https://doi.org/10.1063/1.871862	journal	January 1996
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
Parameter space for magnetized fuel targets in inertial confinement fusion Lindemuth, I. R.; Kirkpatrick, R. C. Nuclear Fusion, Vol. 23, Issue 3 https://doi.org/10.1088/0029-5515/23/3/001	journal	March 1983
The ignition design space of magnetized target fusion Lindemuth, Irvin R. Physics of Plasmas, Vol. 22, Issue 12 https://doi.org/10.1063/1.4937371	journal	December 2015
Stability analysis of dynamic Z pinches and theta pinches Bud’ko, A. B.; Felber, F. S.; Kleev, A. I. Physics of Fluids B: Plasma Physics, Vol. 1, Issue 3 https://doi.org/10.1063/1.859207	journal	March 1989
Some instabilities of a completely ionized plasma Kruskal, Martin DAvid; Schwarzschild, Martin Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 223, Issue 1154, p. 348-360 https://doi.org/10.1098/rspa.1954.0120	journal	May 1954
Self-consistent, two-dimensional, magnetohydrodynamic simulations of magnetically driven flyer plates Lemke, R. W.; Knudson, M. D.; Robinson, A. C. Physics of Plasmas, Vol. 10, Issue 5 https://doi.org/10.1063/1.1557530	journal	May 2003
Coupling of sausage, kink, and magneto-Rayleigh-Taylor instabilities in a cylindrical liner Weis, M. R.; Zhang, P.; Lau, Y. Y. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4915520	journal	March 2015
A review of the dense Z -pinch Haines, M. G. Plasma Physics and Controlled Fusion, Vol. 53, Issue 9 https://doi.org/10.1088/0741-3335/53/9/093001	journal	June 2011
Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability Weis, M. R.; Zhang, P.; Lau, Y. Y. Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4904210	journal	December 2014
Letter: Magneto-Rayleigh-Taylor instability in an elastic-medium slab Piriz, S. A.; Piriz, A. R.; Tahir, N. A. Physics of Fluids, Vol. 30, Issue 11 https://doi.org/10.1063/1.5050800	journal	November 2018
Supernova hydrodynamics experiments on the Nova laser Remington, B. A.; Kane, J.; Drake, R. P. Physics of Plasmas, Vol. 4, Issue 5 https://doi.org/10.1063/1.872341	journal	May 1997
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
Magneto-Rayleigh-Taylor experiments on a MegaAmpere linear transformer driver Zier, J. C.; Gilgenbach, R. M.; Chalenski, D. A. Physics of Plasmas, Vol. 19, Issue 3 https://doi.org/10.1063/1.3690088	journal	March 2012
Stability of periodic waves of finite amplitude on the surface of a deep fluid Zakharov, V. E. Journal of Applied Mechanics and Technical Physics, Vol. 9, Issue 2 https://doi.org/10.1007/BF00913182	journal	January 1972
Magneto-Rayleigh–Taylor instability in an elastic finite-width medium overlying an ideal fluid Piriz, S. A.; Piriz, A. R.; Tahir, N. A. Journal of Fluid Mechanics, Vol. 867 https://doi.org/10.1017/jfm.2019.193	journal	April 2019
Weakly Nonlinear Rayleigh–Taylor Instability in Incompressible Fluids with Surface Tension Guo, Hong-Yu; Wang, Li-Feng; Ye, Wen-Hua Chinese Physics Letters, Vol. 34, Issue 4 https://doi.org/10.1088/0256-307X/34/4/045201	journal	March 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
Computational investigation of single mode vs multimode Rayleigh–Taylor seeding in Z-pinch implosions Douglas, M. R.; Deeney, C.; Roderick, N. F. Physics of Plasmas, Vol. 5, Issue 12 https://doi.org/10.1063/1.873153	journal	December 1998
Observations of Modified Three-Dimensional Instability Structure for Imploding z -Pinch Liners that are Premagnetized with an Axial Field Awe, T. J.; McBride, R. D.; Jennings, C. A. Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.235005	journal	December 2013
Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability Lau, Y. Y.; Zier, J. C.; Rittersdorf, I. M. Physical Review E, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevE.83.066405	journal	June 2011
Advanced Mathematical Methods for Scientists and Engineers I Bender, Carl M.; Orszag, Steven A. https://doi.org/10.1007/978-1-4757-3069-2	book	October 1999
Experimental Demonstration of the Stabilizing Effect of Dielectric Coatings on Magnetically Accelerated Imploding Metallic Liners Awe, T. J.; Peterson, K. J.; Yu, E. P. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.065001	journal	February 2016
Two‐dimensional modeling of x‐ray output from switched foil implosions on Procyon Bowers, R. L.; Nakafuji, G.; Greene, A. E. Physics of Plasmas, Vol. 3, Issue 9 https://doi.org/10.1063/1.871594	journal	September 1996

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