Variational formulation of a simplified model motivated by transport in quasineutral magnetized plasmas
Sayyed Amin Raiessi Toussi, Omar Maj
Abstract
Abstract We address the variational formulation of a simplified model that has been put forward by Gutiérrez-Santacreu et al (2018 J. Comput. Phys. 373 811–34) as a proof of concept for a robust way to compute the electric potential from the quasineutrality constraint in the context of transport modeling of magnetized plasmas. The variational principle opens the possibility of deriving structure-preserving discretizations of the model using particles, thus extending the previous work to particle methods. Besides the application to numerical methods, the variational formulation of this simplified model requires some ad hoc ideas and techniques. We also demonstrate three approaches to account for the nonconservative forces such as viscosities.
BibTeX
@article{Raiessi_Toussi_2026,
title={Variational formulation of a simplified model motivated by transport in quasineutral magnetized plasmas},
volume={101},
ISSN={1402-4896},
url={http://dx.doi.org/10.1088/1402-4896/ae8ed0},
DOI={10.1088/1402-4896/ae8ed0},
number={31},
journal={Physica Scripta},
publisher={IOP Publishing},
author={Raiessi Toussi, Sayyed Amin and Maj, Omar},
year={2026},
month=Aug,
pages={315201} }