Parameter-Space Survey of Linear G-mode and Interchange in Extended Magnetohydrodynamics
Abstract
The extended magnetohydrodynamic stability of interchange modes is studied in two configurations. In slab geometry, a local dispersion relation for the gravitational interchange mode (g-mode) with three different extensions of the MHD model [P. Zhu, et al., Phys. Rev. Lett. 101, 085005 (2008)] is analyzed. Our results delineate where drifts stablize the g-mode with gyroviscosity alone and with a two-fluid Ohm’s law alone. Including the two-fluid Ohm’s law produces an ion drift wave that interacts with the g-mode. This interaction gives rise to a second instability at finite ky. A second instability is also observed in numerical extended MHD computations of linear interchange in cylindrical screw-pinch equilibria, the second configuration. Particularly with incomplete models, this mode limits the regions of stability for physically realistic conditions. However, applying a consistent two-temperature extended MHD model that includes the diamagnetic heat flux density (q*) makes the onset of the second mode occur at larger Hall parameter. For conditions relevant to the SSPX experiment [E.B. Hooper, Plasma Phys. Controlled Fusion 54, 113001 (2012)], significant stabilization is observed for Suydam parameters as large as unity (Ds<=1).
- Authors:
-
- Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1390175
- Alternate Identifier(s):
- OSTI ID: 1395917; OSTI ID: 1436977
- Report Number(s):
- UW-CPTC 17-5
Journal ID: ISSN 1070-664X
- Grant/Contract Number:
- FG02-06ER54850; FC02-05ER54813; FC02-08ER54975
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 10; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; mathematical foundations: fluid and multi-fluid theory; instabilities: hydromagnetic; computer simulation: MHD
Citation Formats
Howell, E. C., and Sovinec, C. R. Parameter-Space Survey of Linear G-mode and Interchange in Extended Magnetohydrodynamics. United States: N. p., 2017.
Web. doi:10.1063/1.4993440.
Howell, E. C., & Sovinec, C. R. Parameter-Space Survey of Linear G-mode and Interchange in Extended Magnetohydrodynamics. United States. https://doi.org/10.1063/1.4993440
Howell, E. C., and Sovinec, C. R. Mon .
"Parameter-Space Survey of Linear G-mode and Interchange in Extended Magnetohydrodynamics". United States. https://doi.org/10.1063/1.4993440. https://www.osti.gov/servlets/purl/1390175.
@article{osti_1390175,
title = {Parameter-Space Survey of Linear G-mode and Interchange in Extended Magnetohydrodynamics},
author = {Howell, E. C. and Sovinec, C. R.},
abstractNote = {The extended magnetohydrodynamic stability of interchange modes is studied in two configurations. In slab geometry, a local dispersion relation for the gravitational interchange mode (g-mode) with three different extensions of the MHD model [P. Zhu, et al., Phys. Rev. Lett. 101, 085005 (2008)] is analyzed. Our results delineate where drifts stablize the g-mode with gyroviscosity alone and with a two-fluid Ohm’s law alone. Including the two-fluid Ohm’s law produces an ion drift wave that interacts with the g-mode. This interaction gives rise to a second instability at finite ky. A second instability is also observed in numerical extended MHD computations of linear interchange in cylindrical screw-pinch equilibria, the second configuration. Particularly with incomplete models, this mode limits the regions of stability for physically realistic conditions. However, applying a consistent two-temperature extended MHD model that includes the diamagnetic heat flux density (q*) makes the onset of the second mode occur at larger Hall parameter. For conditions relevant to the SSPX experiment [E.B. Hooper, Plasma Phys. Controlled Fusion 54, 113001 (2012)], significant stabilization is observed for Suydam parameters as large as unity (Ds<=1).},
doi = {10.1063/1.4993440},
journal = {Physics of Plasmas},
number = 10,
volume = 24,
place = {United States},
year = {2017},
month = {9}
}
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