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Krook model for nonthermal electron energy transport. III. Spherical configurations
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10.1063/1.3155445
/content/aip/journal/pop/16/6/10.1063/1.3155445
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/6/10.1063/1.3155445

Figures

Image of FIG. 1.
FIG. 1.

A schematic of the temperature profile in space used to calculate the nonlocal flux near the center.

Image of FIG. 2.
FIG. 2.

A schematic of the region of (and also ) space where the hyperbolic sine must be used instead of the exponential in Green’s function.

Image of FIG. 3.
FIG. 3.

(a) A plot of as a function of (solid) and the analytic approximation to it (dashed). (b) A plot of as a function of (solid) and the analytic approximation to it (dashed).

Image of FIG. 4.
FIG. 4.

(a) A plot of temperature as a function of for a test problem. (b) A plot of the Spitzer thermal flux as a function of and plots of the Krook model for the cases of 5, 10, 15, 30, and 60 energy groups. The plot of five energy groups is the faint line and the plots of ten and up all lie on top of one another.

Image of FIG. 5.
FIG. 5.

Plot of (a) and (b) for the UR/LLE experiment.

Image of FIG. 6.
FIG. 6.

For the UR/LLE experiment, a plot of maximum pressure as a function of time for the case of Spitzer conductivity and for the Krook model for calculating the thermal flux every time step, every three time steps, and every ten time steps. For the Krook model, the maximum pressure is maximum for the calculation every time step and minimum for every ten time steps.

Image of FIG. 7.
FIG. 7.

For the FTF, the temporal profile of laser power. Dotted, optimized for . Solid, optimized for Krook model.

Image of FIG. 8.
FIG. 8.

For the FTF, laser absorption as a function of time for case (solid line) and nonlocal transport Krook model (dashed line).

Image of FIG. 9.
FIG. 9.

For the FTF, temperature profile at 8 ns for the case (solid) and for the Krook model (dashed).

Image of FIG. 10.
FIG. 10.

For the FTF, mass averaged fuel as a function of time for (solid) and Krook (dashed).

Image of FIG. 11.
FIG. 11.

For the FTF, (a) maximum pressure as a function of time for the case (solid), optimized Krook (dashed), and nonoptimized Krook (, dash dot). (b) Maximum as a function of time for the case (solid) and Krook model (dashed). (c) Total inward kinetic energy as a function of time for the case (solid) and Krook model (dashed). Notice that one significant effect of the nonlocal transport, apparent in all three graphs, is that the implosion time is delayed.

Image of FIG. 12.
FIG. 12.

Plot of (a) and (b) for the FTF.

Image of FIG. 13.
FIG. 13.

A plot of temperature at the vacuum interface for the FTF for for Krook with the exponential Green’s function and Krook with the sinh Green’s function.

Tables

Generic image for table
Table I.

Bang time and neutron production for various thermal transport models for the UR/LLE experiment. SH stands for Spitzer–Harm, FP for Fokker–Planck, ES for Epperlein and Short, and BD for beam deposition.

Generic image for table
Table II.

Result of calculating heat flux every one, three, and ten time steps for untuned Krook (zero current) model.

Generic image for table
Table III.

Summary of characteristics for various transport models. Same symbols are used in Table I. MV refers to the FP solution of a thermostatic problem as described by Matte and Virmont in Ref. 5.

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/content/aip/journal/pop/16/6/10.1063/1.3155445
2009-06-24
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Krook model for nonthermal electron energy transport. III. Spherical configurations
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/6/10.1063/1.3155445
10.1063/1.3155445
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