Computation of multi-region, relaxed magnetohydrodynamic equilibria with prescribed toroidal current profile

A. Baillod; J. Loizu; Z. S. Qu; A. Kumar; J. P. Graves

doi:10.1017/S0022377821000520

Computation of multi-region, relaxed magnetohydrodynamic equilibria with prescribed toroidal current profile

A. Baillod^*, J. Loizu, Z. S. Qu, A. Kumar, J. P. Graves

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The stepped-pressure equilibrium code (SPEC) (Hudson et al., Phys. Plasmas, vol. 19, issue 11, 2012, 112502) is extended to allow the computation of multi-region, relaxed magnetohydrodynamics (MRxMHD) equilibria at prescribed toroidal current profile. Toroidal currents are expressed in the framework of the MRxMHD theory, exhibiting spatial separation between pressure driven and externally driven currents. Additionally, analytical force balance derivatives at constant toroidal current are deployed in order to maintain SPEC’s advantageous speed. The newly implemented capability is verified in screw pinch and classical stellarator geometries, and is applied to obtain the equilibrium β-limit of a classical stellarator without net toroidal currents. This new capability opens the possibility to study the effect of toroidal current on three-dimensional equilibria with the SPEC code.

Original language	English
Article number	905870403
Journal	Journal of Plasma Physics
Volume	87
Issue number	4
DOIs	https://doi.org/10.1017/S0022377821000520
Publication status	Published - Aug 2021

Access to Document

10.1017/S0022377821000520

Cite this

@article{bdbfb0cb618c482d97f36df3d8879fa3,

title = "Computation of multi-region, relaxed magnetohydrodynamic equilibria with prescribed toroidal current profile",

abstract = "The stepped-pressure equilibrium code (SPEC) (Hudson et al., Phys. Plasmas, vol. 19, issue 11, 2012, 112502) is extended to allow the computation of multi-region, relaxed magnetohydrodynamics (MRxMHD) equilibria at prescribed toroidal current profile. Toroidal currents are expressed in the framework of the MRxMHD theory, exhibiting spatial separation between pressure driven and externally driven currents. Additionally, analytical force balance derivatives at constant toroidal current are deployed in order to maintain SPEC{\textquoteright}s advantageous speed. The newly implemented capability is verified in screw pinch and classical stellarator geometries, and is applied to obtain the equilibrium β-limit of a classical stellarator without net toroidal currents. This new capability opens the possibility to study the effect of toroidal current on three-dimensional equilibria with the SPEC code.",

keywords = "fusion plasma, plasma confinement",

author = "A. Baillod and J. Loizu and Qu, {Z. S.} and A. Kumar and Graves, {J. P.}",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2021.",

year = "2021",

month = aug,

doi = "10.1017/S0022377821000520",

language = "English",

volume = "87",

journal = "Journal of Plasma Physics",

issn = "0022-3778",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - Computation of multi-region, relaxed magnetohydrodynamic equilibria with prescribed toroidal current profile

AU - Baillod, A.

AU - Loizu, J.

AU - Qu, Z. S.

AU - Kumar, A.

AU - Graves, J. P.

PY - 2021/8

Y1 - 2021/8

N2 - The stepped-pressure equilibrium code (SPEC) (Hudson et al., Phys. Plasmas, vol. 19, issue 11, 2012, 112502) is extended to allow the computation of multi-region, relaxed magnetohydrodynamics (MRxMHD) equilibria at prescribed toroidal current profile. Toroidal currents are expressed in the framework of the MRxMHD theory, exhibiting spatial separation between pressure driven and externally driven currents. Additionally, analytical force balance derivatives at constant toroidal current are deployed in order to maintain SPEC’s advantageous speed. The newly implemented capability is verified in screw pinch and classical stellarator geometries, and is applied to obtain the equilibrium β-limit of a classical stellarator without net toroidal currents. This new capability opens the possibility to study the effect of toroidal current on three-dimensional equilibria with the SPEC code.

AB - The stepped-pressure equilibrium code (SPEC) (Hudson et al., Phys. Plasmas, vol. 19, issue 11, 2012, 112502) is extended to allow the computation of multi-region, relaxed magnetohydrodynamics (MRxMHD) equilibria at prescribed toroidal current profile. Toroidal currents are expressed in the framework of the MRxMHD theory, exhibiting spatial separation between pressure driven and externally driven currents. Additionally, analytical force balance derivatives at constant toroidal current are deployed in order to maintain SPEC’s advantageous speed. The newly implemented capability is verified in screw pinch and classical stellarator geometries, and is applied to obtain the equilibrium β-limit of a classical stellarator without net toroidal currents. This new capability opens the possibility to study the effect of toroidal current on three-dimensional equilibria with the SPEC code.

KW - fusion plasma

KW - plasma confinement

UR - http://www.scopus.com/inward/record.url?scp=85118902384&partnerID=8YFLogxK

U2 - 10.1017/S0022377821000520

DO - 10.1017/S0022377821000520

M3 - Article

SN - 0022-3778

VL - 87

JO - Journal of Plasma Physics

JF - Journal of Plasma Physics

IS - 4

M1 - 905870403

ER -

Computation of multi-region, relaxed magnetohydrodynamic equilibria with prescribed toroidal current profile

Abstract

Access to Document

Other files and links

Fingerprint

Cite this