Near-ideal relaxed MHD in slab geometry
We investigate the solutions of the relaxed MHD model (RxMHD) of Dewar \& Qu [J. Plasma Phys. {\bf 88}, 835880101 (2022)]. This model is a generalization of Taylor relaxation that allows the ideal Ohm's law constraint to be included, and this offers a pathway to extend the multi-region rela...
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Zusammenfassung: | We investigate the solutions of the relaxed MHD model (RxMHD) of Dewar \& Qu
[J. Plasma Phys. {\bf 88}, 835880101 (2022)]. This model is a generalization of
Taylor relaxation that allows the ideal Ohm's law constraint to be included,
and this offers a pathway to extend the multi-region relaxed MHD (MRxMHD)
model. By constructing solutions numerically, we show that the RxMHD model of
Dewar \& Qu is mathematically well-defined and computationally feasible for
constructing MHD equilibria. 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), and a pressure profile with a small gradient
due to the Bernoulli flow. Our results also demonstrate the self-organization
of fully relaxed regions during the optimization, which was an important
motivation behind developing this model. |
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DOI: | 10.48550/arxiv.2412.03931 |