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Title: Electron parallel closures for the 3 + 1 fluid model

Abstract

Linear closures are obtained for arbitrary collisionality for the 3 + 1 fluid model which includes the evolution of density, flow velocity, and pressure both parallel and perpendicular to a preferred direction, usually a magnetic field. A large set of 6400 moment equations is solved to provide closures that are accurate in the collisional regime and well into the collisionless regime. The closures in the collisionless limit are determined by solving the kinetic equation with a model collision operator. Simple fits for the kernel functions that define the closures are obtained for arbitrary collisionality in wave number space. The results are linearly accurate to within 3% across the entire range of collisionality.

Authors:
ORCiD logo [1];  [2]
  1. Utah State Univ., Logan, UT (United States). Dept. of Physics
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); Univ. of Washington, Seattle, WA (United States). Plasma Science and Innovation Center (PSI-Center)
OSTI Identifier:
1458633
Alternate Identifier(s):
OSTI ID: 1429124
Report Number(s):
LLNL-JRNL-741938
Journal ID: ISSN 1070-664X; 896317; TRN: US1901487
Grant/Contract Number:  
AC52-07NA27344; SC0014033; SC0016256; FG02-04ER54746
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 3; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; statistical analysis; stochastic processes; tokamaks; Fourier analysis; operator theory; thermodynamic processes; friction; fluid equations

Citation Formats

Ji, Jeong-Young, and Joseph, Ilon. Electron parallel closures for the 3 + 1 fluid model. United States: N. p., 2018. Web. doi:10.1063/1.5014996.
Ji, Jeong-Young, & Joseph, Ilon. Electron parallel closures for the 3 + 1 fluid model. United States. doi:10.1063/1.5014996.
Ji, Jeong-Young, and Joseph, Ilon. Fri . "Electron parallel closures for the 3 + 1 fluid model". United States. doi:10.1063/1.5014996. https://www.osti.gov/servlets/purl/1458633.
@article{osti_1458633,
title = {Electron parallel closures for the 3 + 1 fluid model},
author = {Ji, Jeong-Young and Joseph, Ilon},
abstractNote = {Linear closures are obtained for arbitrary collisionality for the 3 + 1 fluid model which includes the evolution of density, flow velocity, and pressure both parallel and perpendicular to a preferred direction, usually a magnetic field. A large set of 6400 moment equations is solved to provide closures that are accurate in the collisional regime and well into the collisionless regime. The closures in the collisionless limit are determined by solving the kinetic equation with a model collision operator. Simple fits for the kernel functions that define the closures are obtained for arbitrary collisionality in wave number space. The results are linearly accurate to within 3% across the entire range of collisionality.},
doi = {10.1063/1.5014996},
journal = {Physics of Plasmas},
number = 3,
volume = 25,
place = {United States},
year = {2018},
month = {3}
}

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