# 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 Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

- OSTI Identifier:
- 1379746

- Alternate Identifier(s):
- OSTI ID: 1373960

- Grant/Contract Number:
- AC02-05CH11231; AC02-09CH11466

- Resource Type:
- Journal Article: 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. doi:10.1063/1.4979122.

```
Hirvijoki, E., and Adams, M. F.. Tue .
"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 = {Tue Mar 28 00:00:00 EDT 2017},

month = {Tue Mar 28 00:00:00 EDT 2017}

}

Other availability

Cited by: 2 works

*Citation information provided by*

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