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Research Papers: Fundamental Issues and Canonical Flows

Three-Dimensional Design Simulations of a High-Energy Density Reshock Experiment at the National Ignition Facility

[+] Author and Article Information
Ping Wang

Lawrence Livermore National Laboratory,
Livermore, CA 94551
e-mail: wang32@llnl.gov

Kumar S. Raman

Lawrence Livermore National Laboratory,
Livermore, CA 94551
e-mail: raman5@llnl.gov

Stephan A. MacLaren

Lawrence Livermore National Laboratory,
Livermore, CA 94551
e-mail: maclaren2@llnl.gov

Channing M. Huntington

Lawrence Livermore National Laboratory,
Livermore, CA 94551
e-mail: huntington4@llnl.gov

Sabrina R. Nagel

Lawrence Livermore National Laboratory,
Livermore, CA 94551
e-mail: nagel7@llnl.gov

Kirk A. Flippo

Los Alamos National Laboratory,
Los Alamos, NM 87545
e-mail: kflippo@lanl.gov

Shon T. Prisbrey

Lawrence Livermore National Laboratory,
Livermore, CA 94551
e-mail: prisbrey1@llnl.gov

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 9, 2016; final manuscript received September 28, 2017; published online December 21, 2017. Assoc. Editor: Daniel Maynes. The United States Government retains, and by accepting the article for publication, the publisher acknowledges that the United States Government retains, a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for United States Government purposes.

J. Fluids Eng 140(4), 041207 (Dec 21, 2017) (10 pages) Paper No: FE-16-1814; doi: 10.1115/1.4038532 History: Received December 09, 2016; Revised September 28, 2017

We present simulations of a new experimental platform at the National Ignition Facility (NIF) for studying the hydrodynamic instability growth of a high-energy density (HED) fluid interface that undergoes multiple shocks, i.e., is “reshocked.” In these experiments, indirect-drive laser cavities drive strong shocks through an initially solid, planar interface between a high-density plastic and low-density foam, in either one or both directions. The first shock turns the system into an unstable fluid interface with the premachined initial condition that then grows via the Richtmyer–Meshkov and Rayleigh–Taylor instabilities. Backlit X-ray imaging is used to visualize the instability growth at different times. Our main result is that this new HED reshock platform is established and that the initial data confirm the experiment operates in a hydrodynamic regime similar to what simulations predict. The simulations also reveal new types of edge effects that can disturb the experiment at late times and suggest ways to mitigate them.

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Figures

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Fig. 1

(a) Cartoon of the target used on the NIF. The gold hohlraums on the top and the bottom convert laser energy into uniform radiation baths that drive shocks into the first exposed plastic layer of the shock tube via ablation. (b) Blow-up view of the shock tube components used in the NIF target design.

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Fig. 2

Cut-away image of the target geometry used in this numerical study

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Fig. 4

Radiation temperature drives calculated from NIF shot N150729

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Fig. 3

2D and 3D meshes with five materials. Top figure showsan example of a low-density air mesh used in these simulations.

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Fig. 11

Left-hand side images are synthetic transmission radiographs from 3D numerical simulations for a single mode perturbation undergoing reshock. Images, from top to bottom, show interface just before reshock arrival (37 ns), reshock compression of the interface (43 ns), early post reshock growth of the interface (50 ns), and later post reshock growth of the single mode interface (57 ns). Right-hand side image is an experimental radiograph taken at 37 ns and is shown for comparison.

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Fig. 9

Comparison of the single shock 3D simulations with the experiments for two different amplitude problems

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Fig. 8

Right-hand side images show experimental reshock radiographs at 45 and 50 ns. Left-hand side images are corresponding synthetic radiographs created from 3D simulations.

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Fig. 7

Cut-away images from 3D numerical simulations showing the density for the single drive shock experiment at 50 ns (a) and 57 ns (b)

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Fig. 12

(a) Cut-away of 3D simulation showing the main shock ablator and reshock ablator near the time that reshock occurs. Enlarged views in (b) and (c) showing only the ablators at the interface region reveal that the reshock ablator extends past the plane of the interface region at the edge of the shock tube for both possible directions of radiography.

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Fig. 13

Two sets of images showing the impact of the opacity of the reshock ablator. Synthetic radiographs from 3D simulation of early campaign reshock experiments taken after the reshock. The postreshock mixing region is occluded with the opaque ablator (top) but can be seen with the present design (bottom). The analysis of this image and other experimental data from the dual-drive experiments will be documented separately.

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Fig. 10

Cut-away images from 3D numerical simulations showing the density for the reshock experiment at 36 ns (a), 41 ns (b), and 48 ns (c)

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Fig. 14

Comparison of 2D and 3D mix-width histories for an interface with two different initial amplitude conditions. Note the difference in the late-time mix-width behavior.

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Fig. 15

Convergence study with four mesh resolutions. For our purposes, convergence occurs for ∼40 or more zones per wavelength.

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Fig. 6

Velocity of the interface from the simulation without perturbations versus time: dotted line with the main drive only and solid line with the main drive and reshock drive

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Fig. 5

x − t visualization with log-density plot. Shocks are seeded at ∼0 ns. The first reshock of the interface is at ∼40 ns with the reflected initial shock causing a second reshock even at ∼52 ns.

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