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Title: Conservative discretization of the Landau collision integral

Here we describe a density, momentum-, and energy-conserving discretization of the nonlinear Landau collision integral. The method is suitable for both the finite-element and discontinuous Galerkin methods and does not require structured meshes. The conservation laws for the discretization are proven algebraically and demonstrated numerically for an axially symmetric nonlinear relaxation problem using a finite-element implementation.
Authors:
 [1] ;  [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Grant/Contract Number:
AC02-05CH11231; AC02-09CH11466
Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 3; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Tensor methods; Polynomials; Galerkin methods; Plasma collisions; Conservation of momentum
OSTI Identifier:
1379746
Alternate Identifier(s):
OSTI ID: 1373960

Hirvijoki, E., and Adams, M. F.. Conservative discretization of the Landau collision integral. United States: N. p., Web. doi:10.1063/1.4979122.
Hirvijoki, E., & Adams, M. F.. Conservative discretization of the Landau collision integral. United States. doi:10.1063/1.4979122.
Hirvijoki, E., and Adams, M. F.. 2017. "Conservative discretization of the Landau collision integral". United States. doi:10.1063/1.4979122. https://www.osti.gov/servlets/purl/1379746.
@article{osti_1379746,
title = {Conservative discretization of the Landau collision integral},
author = {Hirvijoki, E. and Adams, M. F.},
abstractNote = {Here we describe a density, momentum-, and energy-conserving discretization of the nonlinear Landau collision integral. The method is suitable for both the finite-element and discontinuous Galerkin methods and does not require structured meshes. The conservation laws for the discretization are proven algebraically and demonstrated numerically for an axially symmetric nonlinear relaxation problem using a finite-element implementation.},
doi = {10.1063/1.4979122},
journal = {Physics of Plasmas},
number = 3,
volume = 24,
place = {United States},
year = {2017},
month = {3}
}