Highorder finitevolume modeling of drift waves
Abstract
The study discusses highorder finitevolume 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 highorder discretization is proposed and demonstrated to work in numerical simulations performed with the fourthorder finitevolume code COGENT. As practical examples, a stable driftwave solution with adiabatic electrons and the collisionless (universal) driftwave 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) (SC24)
 OSTI Identifier:
 1476214
 Alternate Identifier(s):
 OSTI ID: 1564510
 Report Number(s):
 LLNLJRNL733873
Journal ID: ISSN 00219991; 885907
 Grant/Contract Number:
 AC5207NA27344
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Computational Physics
 Additional Journal Information:
 Journal Volume: 373; Journal ID: ISSN 00219991
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; finitevolume method; highorder discretization; incompressible flow; gyrokinetic simulation; drift waves
Citation Formats
Dorf, M., Dorr, M., Hittinger, J., Lee, W., and Ghosh, D. Highorder finitevolume 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. Highorder finitevolume 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 .
"Highorder finitevolume 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 = {Highorder finitevolume modeling of drift waves},
author = {Dorf, M. and Dorr, M. and Hittinger, J. and Lee, W. and Ghosh, D.},
abstractNote = {The study discusses highorder finitevolume 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 highorder discretization is proposed and demonstrated to work in numerical simulations performed with the fourthorder finitevolume code COGENT. As practical examples, a stable driftwave solution with adiabatic electrons and the collisionless (universal) driftwave 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}
}
Web of Science