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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. https://doi.org/10.1063/1.5014996
Ji, Jeong-Young, and Joseph, Ilon. Fri . "Electron parallel closures for the 3 + 1 fluid model". United States. https://doi.org/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}
}

Works referenced in this record:

Toroidal gyrofluid equations for simulations of tokamak turbulence
journal, November 1996

  • Beer, M. A.; Hammett, G. W.
  • Physics of Plasmas, Vol. 3, Issue 11
  • DOI: 10.1063/1.871538

Fluid moment models for Landau damping with application to the ion-temperature-gradient instability
journal, June 1990


Unified fluid/kinetic description of plasma microinstabilities. Part I: Basic equations in a sheared slab geometry
journal, May 1992

  • Chang, Zuoyang; Callen, J. D.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 5
  • DOI: 10.1063/1.860125

Erratum: “Electron parallel closures for arbitrary collisionality” [Phys. Plasmas 21 , 122116 (2014)]
journal, December 2015

  • Ji, Jeong-Young; Held, Eric D.
  • Physics of Plasmas, Vol. 22, Issue 12
  • DOI: 10.1063/1.4937484

Nonlinear gyrofluid description of turbulent magnetized plasmas
journal, May 1992

  • Brizard, Alain
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 5
  • DOI: 10.1063/1.860129

Moment approach to deriving parallel heat flow for general collisionality
journal, February 2009

  • Ji, Jeong-Young; Held, Eric D.; Sovinec, Carl R.
  • Physics of Plasmas, Vol. 16, Issue 2
  • DOI: 10.1063/1.3079072

Hermes: global plasma edge fluid turbulence simulations
journal, April 2017


A Landau fluid model for warm collisionless plasmas
journal, October 2005

  • Goswami, Priyanka; Passot, T.; Sulem, P. L.
  • Physics of Plasmas, Vol. 12, Issue 10
  • DOI: 10.1063/1.2096582

Landau fluid models of collisionless magnetohydrodynamics
journal, November 1997

  • Snyder, P. B.; Hammett, G. W.; Dorland, W.
  • Physics of Plasmas, Vol. 4, Issue 11
  • DOI: 10.1063/1.872517

Numerical study of neoclassical plasma pedestal in a tokamak geometry
journal, May 2004

  • Chang, C. S.; Ku, Seunghoe; Weitzner, H.
  • Physics of Plasmas, Vol. 11, Issue 5
  • DOI: 10.1063/1.1707024

A Landau fluid model for dispersive magnetohydrodynamics
journal, November 2004

  • Passot, T.; Sulem, P. L.
  • Physics of Plasmas, Vol. 11, Issue 11
  • DOI: 10.1063/1.1780533

Electron parallel closures for various ion charge numbers
journal, March 2016

  • Ji, Jeong-Young; Kim, Sang-Kyeun; Held, Eric D.
  • Physics of Plasmas, Vol. 23, Issue 3
  • DOI: 10.1063/1.4944665

A fast non-Fourier method for Landau-fluid operators
journal, May 2014

  • Dimits, A. M.; Joseph, I.; Umansky, M. V.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876617

Laser Absorption and Heat Transport by Non-Maxwell-Boltzmann Electron Distributions
journal, June 1983


Exact linearized Coulomb collision operator in the moment expansion
journal, October 2006

  • Ji, Jeong-Young; Held, Eric D.
  • Physics of Plasmas, Vol. 13, Issue 10
  • DOI: 10.1063/1.2356320

A framework for moment equations for magnetized plasmas
journal, April 2014

  • Ji, Jeong-Young; Held, Eric D.
  • Physics of Plasmas, Vol. 21, Issue 4
  • DOI: 10.1063/1.4869999

Landau collision operators and general moment equations for an electron-ion plasma
journal, October 2008

  • Ji, Jeong-Young; Held, Eric D.
  • Physics of Plasmas, Vol. 15, Issue 10
  • DOI: 10.1063/1.2977983

Electron energy transport in ion waves and its relevance to laser-produced plasmas
journal, January 1983


Landau fluid closures with nonlinear large-scale finite Larmor radius corrections for collisionless plasmas
journal, September 2014


Gyrofluid turbulence models with kinetic effects
journal, March 1993

  • Dorland, W.; Hammett, G. W.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 3
  • DOI: 10.1063/1.860934

Electron parallel closures for arbitrary collisionality
journal, December 2014

  • Ji, Jeong-Young; Held, Eric D.
  • Physics of Plasmas, Vol. 21, Issue 12
  • DOI: 10.1063/1.4904906

A Landau fluid model for electromagnetic plasma microturbulence
journal, July 2001

  • Snyder, P. B.; Hammett, G. W.
  • Physics of Plasmas, Vol. 8, Issue 7
  • DOI: 10.1063/1.1374238

Linearly exact parallel closures for slab geometry
journal, August 2013

  • Ji, Jeong-Young; Held, Eric D.; Jhang, Hogun
  • Physics of Plasmas, Vol. 20, Issue 8
  • DOI: 10.1063/1.4818431

Nonlocal Heat Transport Due to Steep Temperature Gradients
journal, October 1983


Nonlocal Electron Heat Transport by Not Quite Maxwell-Boltzmann Distributions
journal, October 1986


Hermes: Global plasma edge fluid turbulence simulations
text, January 2016


Electron parallel closures for various ion charge numbers
text, January 2019


A Landau fluid model for warm collisionless plasmas
text, January 2005


Works referencing / citing this record:

An introductory guide to fluid models with anisotropic temperatures. Part 2. Kinetic theory, Padé approximants and Landau fluid closures
journal, December 2019