Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X

Abstract The edge island domain in Wendelstein 7-X consists of divertor islands whose position coincide with the location of rational values of the rotational transform <?CDATA ${\textrm{-}}\mkern-6mu\iota \approx(5/6, 5/5, 5/4)$?> - ι ≈ ( 5 / 6 , 5 / 5 , 5 / 4 ) and surround the main confinem...

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Published in:Plasma Physics and Controlled Fusion
Main Authors: Schmitt, J C, Kriete, D M, Andreeva, T, Geiger, J, Grahl, M, Schilling, J, Thomsen, H, Flom, E
Other Authors: EUROfusion Consortium, Department of Energy
Format: Article in Journal/Newspaper
Language:unknown
Published: IOP Publishing 2022
Subjects:
Online Access:http://dx.doi.org/10.1088/1361-6587/ac5f3f
https://iopscience.iop.org/article/10.1088/1361-6587/ac5f3f
https://iopscience.iop.org/article/10.1088/1361-6587/ac5f3f/pdf
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spelling crioppubl:10.1088/1361-6587/ac5f3f 2024-06-23T07:52:27+00:00 Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X Schmitt, J C Kriete, D M Andreeva, T Geiger, J Grahl, M Schilling, J Thomsen, H Flom, E EUROfusion Consortium Department of Energy 2022 http://dx.doi.org/10.1088/1361-6587/ac5f3f https://iopscience.iop.org/article/10.1088/1361-6587/ac5f3f https://iopscience.iop.org/article/10.1088/1361-6587/ac5f3f/pdf unknown IOP Publishing https://iopscience.iop.org/page/copyright https://iopscience.iop.org/info/page/text-and-data-mining Plasma Physics and Controlled Fusion volume 64, issue 5, page 055022 ISSN 0741-3335 1361-6587 journal-article 2022 crioppubl https://doi.org/10.1088/1361-6587/ac5f3f 2024-06-10T04:11:32Z Abstract The edge island domain in Wendelstein 7-X consists of divertor islands whose position coincide with the location of rational values of the rotational transform <?CDATA ${\textrm{-}}\mkern-6mu\iota \approx(5/6, 5/5, 5/4)$?> - ι ≈ ( 5 / 6 , 5 / 5 , 5 / 4 ) and surround the main confinement volume (the ‘main plasma’), providing the magnetic topology for an island divertor. The 5/5 edge consists of five individual islands that are unconnected. In contrast, a single island connects onto itself after 6 or 4 toroidal transits in the 5/6 or 5/4 edge, respectively. Many interesting phenomena are related to these islands and diagnostic analyses require a mapping from ‘laboratory’ or real space coordinates to the island coordinate system (ICS). A procedure is described here to calculate several scalar and vector quantities for closed island structures which can be utilized in fast interpolation schemes for inverse maps. For the 5/5 edge, a fixed-boundary vacuum (zero beta) magneto-hydrodynamic solution of the 5/5 island is found with the Variational Moments Equilibrium Code, VMEC. The solution is compatible with already existing routines which determine the radial and binormal vectors of VMEC solutions at arbitrary laboratory coordinates. VMEC does not support solutions for the 5/4 and 5/6 islands, but the radial and binormal vectors are available in a local 2D Fourier ICS. Article in Journal/Newspaper Edge Island Single Island IOP Publishing Single Island ENVELOPE(68.667,68.667,-69.817,-69.817) Plasma Physics and Controlled Fusion 64 5 055022
institution Open Polar
collection IOP Publishing
op_collection_id crioppubl
language unknown
description Abstract The edge island domain in Wendelstein 7-X consists of divertor islands whose position coincide with the location of rational values of the rotational transform <?CDATA ${\textrm{-}}\mkern-6mu\iota \approx(5/6, 5/5, 5/4)$?> - ι ≈ ( 5 / 6 , 5 / 5 , 5 / 4 ) and surround the main confinement volume (the ‘main plasma’), providing the magnetic topology for an island divertor. The 5/5 edge consists of five individual islands that are unconnected. In contrast, a single island connects onto itself after 6 or 4 toroidal transits in the 5/6 or 5/4 edge, respectively. Many interesting phenomena are related to these islands and diagnostic analyses require a mapping from ‘laboratory’ or real space coordinates to the island coordinate system (ICS). A procedure is described here to calculate several scalar and vector quantities for closed island structures which can be utilized in fast interpolation schemes for inverse maps. For the 5/5 edge, a fixed-boundary vacuum (zero beta) magneto-hydrodynamic solution of the 5/5 island is found with the Variational Moments Equilibrium Code, VMEC. The solution is compatible with already existing routines which determine the radial and binormal vectors of VMEC solutions at arbitrary laboratory coordinates. VMEC does not support solutions for the 5/4 and 5/6 islands, but the radial and binormal vectors are available in a local 2D Fourier ICS.
author2 EUROfusion Consortium
Department of Energy
format Article in Journal/Newspaper
author Schmitt, J C
Kriete, D M
Andreeva, T
Geiger, J
Grahl, M
Schilling, J
Thomsen, H
Flom, E
spellingShingle Schmitt, J C
Kriete, D M
Andreeva, T
Geiger, J
Grahl, M
Schilling, J
Thomsen, H
Flom, E
Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X
author_facet Schmitt, J C
Kriete, D M
Andreeva, T
Geiger, J
Grahl, M
Schilling, J
Thomsen, H
Flom, E
author_sort Schmitt, J C
title Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X
title_short Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X
title_full Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X
title_fullStr Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X
title_full_unstemmed Radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in W7-X
title_sort radial coordinate maps, radial vectors, and binormal vectors for 5/6, 5/5 and 5/4 edge island domains in w7-x
publisher IOP Publishing
publishDate 2022
url http://dx.doi.org/10.1088/1361-6587/ac5f3f
https://iopscience.iop.org/article/10.1088/1361-6587/ac5f3f
https://iopscience.iop.org/article/10.1088/1361-6587/ac5f3f/pdf
long_lat ENVELOPE(68.667,68.667,-69.817,-69.817)
geographic Single Island
geographic_facet Single Island
genre Edge Island
Single Island
genre_facet Edge Island
Single Island
op_source Plasma Physics and Controlled Fusion
volume 64, issue 5, page 055022
ISSN 0741-3335 1361-6587
op_rights https://iopscience.iop.org/page/copyright
https://iopscience.iop.org/info/page/text-and-data-mining
op_doi https://doi.org/10.1088/1361-6587/ac5f3f
container_title Plasma Physics and Controlled Fusion
container_volume 64
container_issue 5
container_start_page 055022
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