# Conservative algorithms for non-Maxwellian plasma kinetics

## Abstract

Here, we present a numerical model and a set of conservative algorithms for Non-Maxwellian plasma kinetics with inelastic collisions. These algorithms self-consistently solve for the time evolution of an isotropic electron energy distribution function interacting with an atomic state distribution function of an arbitrary number of levels through collisional excitation, deexcitation, as well as ionization and recombination. Electron-electron collisions, responsible for thermalization of the electron distribution, are also included in the model. The proposed algorithms guarantee mass/charge and energy conservation in a single step, and is applied to the case of non-uniform gridding of the energy axis in the phase space of the electron distribution function. Numerical test cases are shown to demonstrate the accuracy of the method and its conservation properties.

- Authors:

- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Air Force Office of Scientific Research, Arlington, VA (United States)

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1414363

- Alternate Identifier(s):
- OSTI ID: 1411992

- Report Number(s):
- LLNL-JRNL-735721

Journal ID: ISSN 1070-664X; TRN: US1800692

- Grant/Contract Number:
- AC52-07NA27344

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 12; Journal ID: ISSN 1070-664X

- Publisher:
- American Institute of Physics (AIP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION

### Citation Formats

```
Le, Hai P., and Cambier, Jean -Luc.
```*Conservative algorithms for non-Maxwellian plasma kinetics*. United States: N. p., 2017.
Web. doi:10.1063/1.4998242.

```
Le, Hai P., & Cambier, Jean -Luc.
```*Conservative algorithms for non-Maxwellian plasma kinetics*. United States. doi:10.1063/1.4998242.

```
Le, Hai P., and Cambier, Jean -Luc. Fri .
"Conservative algorithms for non-Maxwellian plasma kinetics". United States.
doi:10.1063/1.4998242.
```

```
@article{osti_1414363,
```

title = {Conservative algorithms for non-Maxwellian plasma kinetics},

author = {Le, Hai P. and Cambier, Jean -Luc},

abstractNote = {Here, we present a numerical model and a set of conservative algorithms for Non-Maxwellian plasma kinetics with inelastic collisions. These algorithms self-consistently solve for the time evolution of an isotropic electron energy distribution function interacting with an atomic state distribution function of an arbitrary number of levels through collisional excitation, deexcitation, as well as ionization and recombination. Electron-electron collisions, responsible for thermalization of the electron distribution, are also included in the model. The proposed algorithms guarantee mass/charge and energy conservation in a single step, and is applied to the case of non-uniform gridding of the energy axis in the phase space of the electron distribution function. Numerical test cases are shown to demonstrate the accuracy of the method and its conservation properties.},

doi = {10.1063/1.4998242},

journal = {Physics of Plasmas},

number = 12,

volume = 24,

place = {United States},

year = {Fri Dec 08 00:00:00 EST 2017},

month = {Fri Dec 08 00:00:00 EST 2017}

}