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.

doi:10.1088/1361-6587/ac5f3f

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

Journal Article · 20 April 2022 · Plasma Physics and Controlled Fusion

DOI:https://doi.org/10.1088/1361-6587/ac5f3f· OSTI ID:1979305

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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 $- ι \approx (5 / 6, 5 / 5, 5 / 4)$ 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.

Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0014210

OSTI ID:: 1979305

Journal Information:: Plasma Physics and Controlled Fusion, Vol. 64, Issue 5; ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

References (22)

Physics in the magnetic configuration space of W7-X Geiger, J.; Beidler, C. D.; Feng, Y. Plasma Physics and Controlled Fusion, Vol. 57, Issue 1 https://doi.org/10.1088/0741-3335/57/1/014004	journal	November 2014
Equilibrium of a Magnetically Confined Plasma in a Toroid Kruskal, M. D.; Kulsrud, R. M. Physics of Fluids, Vol. 1, Issue 4 https://doi.org/10.1063/1.1705884	journal	January 1958
Wendelstein stellarators Grieger, G.; Renner, H.; Wobig, H. Nuclear Fusion, Vol. 25, Issue 9 https://doi.org/10.1088/0029-5515/25/9/040	journal	September 1985
Operational range and transport barrier of the H-mode in the stellarator W7-AS Hirsch, M.; Amadeo, P.; Anton, M. Plasma Physics and Controlled Fusion, Vol. 40, Issue 5 https://doi.org/10.1088/0741-3335/40/5/012	journal	May 1998
SOL studies for W7-X based on the island divertor concept Strumberger, E. Nuclear Fusion, Vol. 36, Issue 7 https://doi.org/10.1088/0029-5515/36/7/I06	journal	July 1996
The capabilities of steady state operation at the stellarator W7-X with emphasis on divertor design Renner, H.; Boscary, J.; Erckmann, V. Nuclear Fusion, Vol. 40, Issue 6 https://doi.org/10.1088/0029-5515/40/6/306	journal	June 2000
Divertor concept for the W7-X stellarator and mode of operation Renner, H.; Boscary, J.; Greuner, H. Plasma Physics and Controlled Fusion, Vol. 44, Issue 6 https://doi.org/10.1088/0741-3335/44/6/325	journal	May 2002
Magnetic configuration scans during divertor operation of Wendelstein 7-X Andreeva, T.; Geiger, J.; Dinklage, A. Nuclear Fusion, Vol. 62, Issue 2 https://doi.org/10.1088/1741-4326/ac3f1b	journal	January 2022
PIES free boundary stellarator equilibria with improved initial conditions Drevlak, M.; Monticello, D.; Reiman, A. Nuclear Fusion, Vol. 45, Issue 7 https://doi.org/10.1088/0029-5515/45/7/022	journal	July 2005
A magnetic diagnostic code for 3D fusion equilibria Lazerson, S. A.; Sakakibara, S.; Suzuki, Y. Plasma Physics and Controlled Fusion, Vol. 55, Issue 2 https://doi.org/10.1088/0741-3335/55/2/025014	journal	January 2013
Drift effects on W7-X divertor heat and particle fluxes Hammond, K. C.; Gao, Y.; Jakubowski, M. Plasma Physics and Controlled Fusion, Vol. 61, Issue 12 https://doi.org/10.1088/1361-6587/ab4825	journal	October 2019
Direct measurements of counter-streaming flows in a low-shear stellarator magnetic island topology Perseo, V.; Effenberg, F.; Gradic, D. Nuclear Fusion, Vol. 59, Issue 12 https://doi.org/10.1088/1741-4326/ab4320	journal	September 2019
Understanding detachment of the W7-X island divertor Feng, Y.; Jakubowski, M.; König, R. Nuclear Fusion, Vol. 61, Issue 8 https://doi.org/10.1088/1741-4326/ac0772	journal	June 2021
Reconstruction of current profile parameters and plasma shapes in tokamaks Lao, L. L.; St. John, H.; Stambaugh, R. D. Nuclear Fusion, Vol. 25, Issue 11 https://doi.org/10.1088/0029-5515/25/11/007	journal	November 1985
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria Hirshman, S. P. Physics of Fluids, Vol. 26, Issue 12 https://doi.org/10.1063/1.864116	journal	January 1983
Some practical considerations involving spectral representations of 3D plasma equilibria Attenberger, S. E.; Houlberg, W. A.; Hirshman, S. P. Journal of Computational Physics, Vol. 72, Issue 2 https://doi.org/10.1016/0021-9991(87)90092-1	journal	October 1987
Web Services for 3D MHD Equilibrium Data at Wendelstein 7-X Grahl, M.; Svensson, J.; Werner, A. IEEE Transactions on Plasma Science, Vol. 46, Issue 5 https://doi.org/10.1109/TPS.2017.2784903	journal	May 2018
Service oriented architecture for scientific analysis at W7-X. An example of a field line tracer Bozhenkov, S. A.; Geiger, J.; Grahl, M. Fusion Engineering and Design, Vol. 88, Issue 11 https://doi.org/10.1016/j.fusengdes.2013.07.003	journal	November 2013
Optimized Fourier representations for three-dimensional magnetic surfaces Hirshman, S. P.; Meier, H. K. Physics of Fluids, Vol. 28, Issue 5 https://doi.org/10.1063/1.864972	journal	January 1985
Measurements of plasma parameters in the divertor island of Wendelstein 7-X through line-ratio spectroscopy on helium Barbui, T.; Krychowiak, M.; Schmitz, O. Nuclear Fusion, Vol. 60, Issue 10 https://doi.org/10.1088/1741-4326/aba9eb	journal	September 2020
The virtual-casing principle for 3D toroidal systems Lazerson, S. A. Plasma Physics and Controlled Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0741-3335/54/12/122002	journal	November 2012
A new class of magnetic confinement device in the shape of a knot Hudson, S. R.; Startsev, E.; Feibush, E. Physics of Plasmas, Vol. 21, Issue 1 https://doi.org/10.1063/1.4863844	journal	January 2014

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