Numerical simulation of fiber and wire array Z-pinches with Trac-II

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Trac-II is a two dimensional axisymmetric resistive MHD code. It simulates all three spatial components (r, z, &phi;) of the magnetic field and fluid velocity vectors, and the plasma is treated as a single fluid with two temperatures (T<sub>e</sub>,T<sub>i</sub>). In addition, it can optionally include a self-consistent external circuit. Recent modifications to the code include the addition of the 3-T radiation model, a 4-phase (solid-liquid-vapor-plasma) equation of state model (QEOS), a 4-phase electrical/thermal conductivity model, and an implicit solution of poloidal B<sub>z</sub>,B<sub>r</sub>) magnetic field diffusion. These changes permit a detailed study of fiber and wire array Z-pinches. Specifically, Trac-II is ... continued below

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Reisman, D September 1, 1998.

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Trac-II is a two dimensional axisymmetric resistive MHD code. It simulates all three spatial components (r, z, &phi;) of the magnetic field and fluid velocity vectors, and the plasma is treated as a single fluid with two temperatures (T<sub>e</sub>,T<sub>i</sub>). In addition, it can optionally include a self-consistent external circuit. Recent modifications to the code include the addition of the 3-T radiation model, a 4-phase (solid-liquid-vapor-plasma) equation of state model (QEOS), a 4-phase electrical/thermal conductivity model, and an implicit solution of poloidal B<sub>z</sub>,B<sub>r</sub>) magnetic field diffusion. These changes permit a detailed study of fiber and wire array Z-pinches. Specifically, Trac-II is used to study the wire array Z-pinch at the PBFA-Z pulse power generator at Sandia National Laboratory. First, in 1-D we examine the behavior of a single wire in the Z-pinch. Then, using these results as initial radial conditions in 2-D, we investigate the dynamics of wire array configurations in the r-z and r-&theta; plane. In the r-z plane we examine the growth of the m=0 or ��sausage�� instability in single wires within the array. In the r-&theta; plane we examine the merging behavior between neighboring wires. Special emphasis is placed on trying to explain how instability growth affects the performance of the Z-pinch. Lastly, we introduce Trac-III, a 3-D MHD code, and illustrate the m=1 or �"kink" instability. We also discuss how Trac-III can be modified to simulate the wire array Z-pinch.

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  • Other: DE00002451
  • Report No.: UCRL-LR-131742
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 2451
  • Archival Resource Key: ark:/67531/metadc666202

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  • September 1, 1998

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  • June 29, 2015, 9:42 p.m.

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  • May 6, 2016, 10:57 p.m.

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Reisman, D. Numerical simulation of fiber and wire array Z-pinches with Trac-II, thesis or dissertation, September 1, 1998; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc666202/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.