Conservative discretization of the Landau collision integral
Here we describe a density, momentum, and energyconserving discretization of the nonlinear Landau collision integral. The method is suitable for both the finiteelement 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 finiteelement implementation.
 Authors:

^{[1]};
^{[2]}
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231; AC0209CH11466
 Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 3; Journal ID: ISSN 1070664X
 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) (SC21)
 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 energyconserving discretization of the nonlinear Landau collision integral. The method is suitable for both the finiteelement 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 finiteelement implementation.},
doi = {10.1063/1.4979122},
journal = {Physics of Plasmas},
number = 3,
volume = 24,
place = {United States},
year = {2017},
month = {3}
}