Near-ideal relaxed MHD in slab geometry
Abstract
We investigate the solutions of the relaxed MHD model (RxMHD) of Dewar \& Qu [J. Plasma Phys. {\bf 88}, 835880101 (2022)]. This model generalizes Taylor relaxation by including the ideal Ohm's law constraint using an augmented Lagrangian method, providing a pathway to extend the multi-region relaxed MHD (MRxMHD) model. We present the first numerical solution of the RxMHD model by Dewar \& Qu, demonstrating that it is mathematically well-defined and computationally feasible for constructing MHD equilibria in slab geometry. We also show that a cross-field flow can exist without enforcing an arbitrary constraint on the angular momentum, as is done in the case of MRxMHD with flow. Our results also demonstrate the self-organization of fully relaxed regions during the optimization, which was an important motivation behind developing this model.
Cite
@article{arxiv.2412.03931,
title = {Near-ideal relaxed MHD in slab geometry},
author = {Arash Tavassoli and Stuart R. Hudson and Zhisong Qu and Matthew Hole},
journal= {arXiv preprint arXiv:2412.03931},
year = {2025}
}