Abstract
We investigate the impact of toroidal rotation on axisymmetric MHD equilibria analytically and numerically, with a focus on the change of the safety factor and magnetic shear induced by the flow. When the toroidal rotation is radially localized by an external momentum source, the pressure due to the flow can change the magnetic configuration and the safety factor significantly, even for subsonic flows. Specifically, when the radial profile of the safety factor is not conserved throughout a discharge, toroidal flow can lead to magnetic shear reversal for the equilibrium magnetic field, and we find that the magnitude of the negative shear is amplified for cross sections with large negative triangularity. This has implications for both magnetohydrodynamic stability and anomalous transport. Furthermore, even when the magnetic flux is conserved and the radial magnetic shear profile does not change, the toroidal flow can modify the local magnetic shear. The poloidal variations of the local magnetic shear due to the flow can stabilize magnetohydrodynamic ballooning modes.
| Original language | English (US) |
|---|---|
| Article number | 105007 |
| Journal | Plasma Physics and Controlled Fusion |
| Volume | 61 |
| Issue number | 10 |
| DOIs | |
| State | Published - Sep 4 2019 |
Keywords
- MHD equilibrium
- magnetic shear
- plasma equilibrium shape
- tokamak
- toroidal rotation
ASJC Scopus subject areas
- Nuclear Energy and Engineering
- Condensed Matter Physics
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In: Plasma Physics and Controlled Fusion, Vol. 61, No. 10, 105007, 04.09.2019.
Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Magnetic shear due to localized toroidal flow shear in tokamaks
AU - Lee, Jungpyo
AU - Cerfon, Antoine
N1 - Funding Information: Jungpyo Lee Antoine Cerfon Jungpyo Lee Antoine Cerfon Hanyang University, Nuclear Engineering Department, Seoul, Republic of Korea MIT Plasma Science and Fusion Center, Cambridge, MA, United States of America Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, United States of America Jungpyo Lee and Antoine Cerfon 2019-10-01 2019-09-03 13:37:59 cgi/release: Article released bin/incoming: New from .zip Fund by National Fusion Research Institute (NFRI) of Korea R&D program of "Development of ITER non-procurement key technologies (INI904-2)" U.S. Department of Energy, Office of Science, Fusion Energy Sciences DE-FG02-86ER53223 DE-SC0012398 yes We investigate the impact of toroidal rotation on axisymmetric MHD equilibria analytically and numerically, with a focus on the change of the safety factor and magnetic shear induced by the flow. When the toroidal rotation is radially localized by an external momentum source, the pressure due to the flow can change the magnetic configuration and the safety factor significantly, even for subsonic flows. Specifically, when the radial profile of the safety factor is not conserved throughout a discharge, toroidal flow can lead to magnetic shear reversal for the equilibrium magnetic field, and we find that the magnitude of the negative shear is amplified for cross sections with large negative triangularity. This has implications for both magnetohydrodynamic stability and anomalous transport. Furthermore, even when the magnetic flux is conserved and the radial magnetic shear profile does not change, the toroidal flow can modify the local magnetic shear. The poloidal variations of the local magnetic shear due to the flow can stabilize magnetohydrodynamic ballooning modes. � 2019 IOP Publishing Ltd [1] Lao L L et al (the DIIID Team) 1996 Phys. 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PY - 2019/9/4
Y1 - 2019/9/4
N2 - We investigate the impact of toroidal rotation on axisymmetric MHD equilibria analytically and numerically, with a focus on the change of the safety factor and magnetic shear induced by the flow. When the toroidal rotation is radially localized by an external momentum source, the pressure due to the flow can change the magnetic configuration and the safety factor significantly, even for subsonic flows. Specifically, when the radial profile of the safety factor is not conserved throughout a discharge, toroidal flow can lead to magnetic shear reversal for the equilibrium magnetic field, and we find that the magnitude of the negative shear is amplified for cross sections with large negative triangularity. This has implications for both magnetohydrodynamic stability and anomalous transport. Furthermore, even when the magnetic flux is conserved and the radial magnetic shear profile does not change, the toroidal flow can modify the local magnetic shear. The poloidal variations of the local magnetic shear due to the flow can stabilize magnetohydrodynamic ballooning modes.
AB - We investigate the impact of toroidal rotation on axisymmetric MHD equilibria analytically and numerically, with a focus on the change of the safety factor and magnetic shear induced by the flow. When the toroidal rotation is radially localized by an external momentum source, the pressure due to the flow can change the magnetic configuration and the safety factor significantly, even for subsonic flows. Specifically, when the radial profile of the safety factor is not conserved throughout a discharge, toroidal flow can lead to magnetic shear reversal for the equilibrium magnetic field, and we find that the magnitude of the negative shear is amplified for cross sections with large negative triangularity. This has implications for both magnetohydrodynamic stability and anomalous transport. Furthermore, even when the magnetic flux is conserved and the radial magnetic shear profile does not change, the toroidal flow can modify the local magnetic shear. The poloidal variations of the local magnetic shear due to the flow can stabilize magnetohydrodynamic ballooning modes.
KW - MHD equilibrium
KW - magnetic shear
KW - plasma equilibrium shape
KW - tokamak
KW - toroidal rotation
UR - http://www.scopus.com/inward/record.url?scp=85072709536&partnerID=8YFLogxK
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U2 - 10.1088/1361-6587/ab3a7f
DO - 10.1088/1361-6587/ab3a7f
M3 - Article
AN - SCOPUS:85072709536
SN - 0741-3335
VL - 61
JO - Plasma Physics and Controlled Fusion
JF - Plasma Physics and Controlled Fusion
IS - 10
M1 - 105007
ER -