Computational boundary specification in 3D fixed-boundary magnetohydrodynamic equilibrium modeling
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915974438977536 |
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| author | Kaptanoglu, Alan Blickhan, Tobias |
| author_facet | Kaptanoglu, Alan Blickhan, Tobias |
| contents | Outside the core of the plasma, the plasma current and pressure rapidly transition to zero in a scrape-off or edge region or plasma-vacuum interface. However, existing tools for fixed-boundary magnetohydrodynamic equilibria in 2D and 3D domains $Ω$ typically prescribe the computational boundary $\partialΩ$ interior to this transition layer. We (1) argue that a more realistic and robust assumption is to define the computational boundary exterior to this transition layer, in a vacuum-like region where $J|_{\partialΩ} \sim p|_{\partialΩ} \sim 0$, (2) show that, without this boundary change, existing coil optimization routines for 3D toroidal equilibria (stellarators) should be changed to match free-boundary equilibrium requirements, and (3) derive an algorithm for a fixed-boundary 3D equilibrium solver compatible with a very general computational boundary, with conditions $B \cdot n|_{\partialΩ} \neq 0$ (not necessarily a flux surface), $p|_{\partialΩ} \neq \text{const.}$ (not necessarily an isobar), and $J \times n|_{\partialΩ} \neq 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01652 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Computational boundary specification in 3D fixed-boundary magnetohydrodynamic equilibrium modeling Kaptanoglu, Alan Blickhan, Tobias Plasma Physics Outside the core of the plasma, the plasma current and pressure rapidly transition to zero in a scrape-off or edge region or plasma-vacuum interface. However, existing tools for fixed-boundary magnetohydrodynamic equilibria in 2D and 3D domains $Ω$ typically prescribe the computational boundary $\partialΩ$ interior to this transition layer. We (1) argue that a more realistic and robust assumption is to define the computational boundary exterior to this transition layer, in a vacuum-like region where $J|_{\partialΩ} \sim p|_{\partialΩ} \sim 0$, (2) show that, without this boundary change, existing coil optimization routines for 3D toroidal equilibria (stellarators) should be changed to match free-boundary equilibrium requirements, and (3) derive an algorithm for a fixed-boundary 3D equilibrium solver compatible with a very general computational boundary, with conditions $B \cdot n|_{\partialΩ} \neq 0$ (not necessarily a flux surface), $p|_{\partialΩ} \neq \text{const.}$ (not necessarily an isobar), and $J \times n|_{\partialΩ} \neq 0$. |
| title | Computational boundary specification in 3D fixed-boundary magnetohydrodynamic equilibrium modeling |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2605.01652 |