skip to main content


This content will become publicly available on March 23, 2019

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

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.
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:
Report Number(s):
Journal ID: ISSN 1070-664X; 896317
Grant/Contract Number:
AC52-07NA27344; SC0014033; SC0016256; FG02-04ER54746
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 3; Journal ID: ISSN 1070-664X
American Institute of Physics (AIP)
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)
Country of Publication:
United States
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; statistical analysis; stochastic processes; tokamaks; Fourier analysis; operator theory; thermodynamic processes; friction; fluid equations
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1429124