Conservative discretization of the Landau collision integral
Abstract
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:
-
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1379746
- Alternate Identifier(s):
- OSTI ID: 1373960
- Grant/Contract Number:
- AC02-05CH11231; AC02-09CH11466
- Resource 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Tensor methods; Polynomials; Galerkin methods; Plasma collisions; Conservation of momentum
Citation Formats
Hirvijoki, E., and Adams, M. F.. Conservative discretization of the Landau collision integral. United States: N. p., 2017.
Web. doi:10.1063/1.4979122.
Hirvijoki, E., & Adams, M. F.. Conservative discretization of the Landau collision integral. United States. https://doi.org/10.1063/1.4979122
Hirvijoki, E., and Adams, M. F.. Tue .
"Conservative discretization of the Landau collision integral". United States. https://doi.org/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 = {Tue Mar 28 00:00:00 EDT 2017},
month = {Tue Mar 28 00:00:00 EDT 2017}
}
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Works referenced in this record:
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Works referencing / citing this record:
Metriplectic integrators for the Landau collision operator
journal, October 2017
- Kraus, Michael; Hirvijoki, Eero
- Physics of Plasmas, Vol. 24, Issue 10
Landau Collision Integral Solver with Adaptive Mesh Refinement on Emerging Architectures
text, January 2017
- Adams, M. F.; Hirvijoki, E.; Knepley, M. G.
- arXiv