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Numerical Simulation of Fiber and Wire Array Z-pinches with Trac-II.

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Numerical Simulation of Fiber and Wire Array Z-pinches with Trac-II.
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ISBN-10 : OCLC:68378591
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Book Synopsis Numerical Simulation of Fiber and Wire Array Z-pinches with Trac-II. by :

Book excerpt: 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 (Te, Ti). 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 Bz, Br) 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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