## High-order finite-volume modeling of drift waves

## Abstract

The study discusses high-order finite-volume numerical modeling of drift waves, which is an ubiquitous phenomenon in magnetized plasmas. It is found that some standard discretization methods applied to the conservative form of the governing equations can lead to a numerical instability. A method to stabilize high-order discretization is proposed and demonstrated to work in numerical simulations performed with the fourth-order finite-volume code COGENT. As practical examples, a stable drift-wave solution with adiabatic electrons and the collisionless (universal) drift-wave instability driven by electron kinetic effects are considered. Finally, application of the present analysis to a broader range of computational fluid dynamics systems is discussed.

- Authors:

- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Univ. of California, San Diego, CA (United States)

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

- OSTI Identifier:
- 1476214

- Alternate Identifier(s):
- OSTI ID: 1564510

- Report Number(s):
- LLNL-JRNL-733873

Journal ID: ISSN 0021-9991; 885907

- Grant/Contract Number:
- AC52-07NA27344

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Computational Physics

- Additional Journal Information:
- Journal Volume: 373; Journal ID: ISSN 0021-9991

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; finite-volume method; high-order discretization; incompressible flow; gyrokinetic simulation; drift waves

### Citation Formats

```
Dorf, M., Dorr, M., Hittinger, J., Lee, W., and Ghosh, D. High-order finite-volume modeling of drift waves. United States: N. p., 2018.
Web. doi:10.1016/j.jcp.2018.07.009.
```

```
Dorf, M., Dorr, M., Hittinger, J., Lee, W., & Ghosh, D. High-order finite-volume modeling of drift waves. United States. doi:10.1016/j.jcp.2018.07.009.
```

```
Dorf, M., Dorr, M., Hittinger, J., Lee, W., and Ghosh, D. Tue .
"High-order finite-volume modeling of drift waves". United States. doi:10.1016/j.jcp.2018.07.009. https://www.osti.gov/servlets/purl/1476214.
```

```
@article{osti_1476214,
```

title = {High-order finite-volume modeling of drift waves},

author = {Dorf, M. and Dorr, M. and Hittinger, J. and Lee, W. and Ghosh, D.},

abstractNote = {The study discusses high-order finite-volume numerical modeling of drift waves, which is an ubiquitous phenomenon in magnetized plasmas. It is found that some standard discretization methods applied to the conservative form of the governing equations can lead to a numerical instability. A method to stabilize high-order discretization is proposed and demonstrated to work in numerical simulations performed with the fourth-order finite-volume code COGENT. As practical examples, a stable drift-wave solution with adiabatic electrons and the collisionless (universal) drift-wave instability driven by electron kinetic effects are considered. Finally, application of the present analysis to a broader range of computational fluid dynamics systems is discussed.},

doi = {10.1016/j.jcp.2018.07.009},

journal = {Journal of Computational Physics},

number = ,

volume = 373,

place = {United States},

year = {2018},

month = {7}

}

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