Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation

Velikovich, A. L.; Maron, Y.

doi:10.1063/1.4891844

Title: Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation

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Abstract

We investigate the stagnation phase of a three-dimensional (3D), magnetohydrodynamic simulation of a compact, tungsten wire-array Z pinch, under the simplifying assumption of negligible radiative loss. In particular, we address the ability of one-dimensional (1D) analytic theory to describe the time evolution of spatially averaged plasma properties from 3D simulation. The complex fluid flows exhibited in the stagnated plasma are beyond the scope of 1D theory and result in centrifugal force as well as enhanced thermal transport. Despite these complications, a 1D homogeneous (i.e., shockless) stagnation solution can capture the increase of on-axis density and pressure during the initial formation of stagnated plasma. Later, when the stagnated plasma expands outward into the imploding plasma, a 1D shock solution describes the decrease of on-axis density and pressure, as well as the growth of the shock accretion region.

Authors:

Velikovich, A. L. ^[1]; Maron, Y. ^[2]

Plasma Physics Division, Naval Research Laboratory, Washington, DC 20375 (United States)
Weizmann Institute of Science, Rehovot 76100 (Israel)

Publication Date:: Fri Aug 15 00:00:00 EDT 2014

OSTI Identifier:: 22304447

Resource Type:: Journal Article

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; FLUID FLOW; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; PLASMA; SIMULATION; THREE-DIMENSIONAL CALCULATIONS; WIRES

Citation Formats


                    Yu, Edmund P., E-mail: epyu@sandia.gov, Velikovich, A. L., and Maron, Y. Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation.  United States: N. p., 2014. 
        Web.  doi:10.1063/1.4891844.

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                    Yu, Edmund P., E-mail: epyu@sandia.gov, Velikovich, A. L., & Maron, Y. Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation.  United States.  https://doi.org/10.1063/1.4891844

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                    Yu, Edmund P., E-mail: epyu@sandia.gov, Velikovich, A. L., and Maron, Y. 2014.  
        "Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation".  United States.  https://doi.org/10.1063/1.4891844.

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@article{osti_22304447,

  title        = {Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation},

  author       = {Yu, Edmund P., E-mail: epyu@sandia.gov and Velikovich, A. L. and Maron, Y.},

  abstractNote = {We investigate the stagnation phase of a three-dimensional (3D), magnetohydrodynamic simulation of a compact, tungsten wire-array Z pinch, under the simplifying assumption of negligible radiative loss. In particular, we address the ability of one-dimensional (1D) analytic theory to describe the time evolution of spatially averaged plasma properties from 3D simulation. The complex fluid flows exhibited in the stagnated plasma are beyond the scope of 1D theory and result in centrifugal force as well as enhanced thermal transport. Despite these complications, a 1D homogeneous (i.e., shockless) stagnation solution can capture the increase of on-axis density and pressure during the initial formation of stagnated plasma. Later, when the stagnated plasma expands outward into the imploding plasma, a 1D shock solution describes the decrease of on-axis density and pressure, as well as the growth of the shock accretion region.},

  doi          = {10.1063/1.4891844},

  url          = {https://www.osti.gov/biblio/22304447},
  journal      = {Physics of Plasmas},

  issn         = {1070-664X},

  number       = 8,

  volume       = 21,

  place        = {United States},

  year         = {Fri Aug 15 00:00:00 EDT 2014},

  month        = {Fri Aug 15 00:00:00 EDT 2014}

}

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