Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Parameter-Space Survey of Linear G-mode and Interchange in Extended Magnetohydrodynamics

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4993440· OSTI ID:1390175
 [1];  [2]
  1. Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics; Office of Science, Fusion Energy Sciences
  2. Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics
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 then 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. But, applying a consistent two-temperature extended MHD model that includes the diamagnetic heat flux density ($$\vec{q}$$*) 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).
Research Organization:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Grant/Contract Number:
FC02-05ER54813; FC02-08ER54975; FG02-06ER54850
OSTI ID:
1390175
Alternate ID(s):
OSTI ID: 1436977
OSTI ID: 1395917
Report Number(s):
UW-CPTC 17--5
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 24; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (29)

Nonlinear magnetohydrodynamics simulation using high-order finite elements journal March 2004
Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling journal August 2010
Resistive–ideal transition of pressure-driven instabilities in current-carrying plasmas beyond the Suydam criterion journal June 2002
Violating Suydam criterion produces feeble instabilities journal August 2002
Computational modeling of fully ionized magnetized plasmas using the fluid approximation journal May 2006
Observation of a pressure limit in a gun-driven spheromak journal April 2006
Transport and fluctuations in high temperature spheromak plasmas journal May 2006
Finite element implementation of Braginskii’s gyroviscous stress with application to the gravitational instability journal September 2006
NIMROD resistive magnetohydrodynamic simulations of spheromak physics journal March 2008
Closure and transport theory for high-collisionality electron-ion plasmas journal April 2013
Comparison of kinetic and extended magnetohydrodynamics computational models for the linear ion temperature gradient instability in slab geometry journal June 2013
Formation of large-scale structures with sharp density gradient through Rayleigh-Taylor growth in a two-dimensional slab under the two-fluid and finite Larmor radius effects journal March 2015
Parameter dependence of two-fluid and finite Larmor radius effects on the Rayleigh-Taylor instability in finite beta plasmas journal December 2016
Stability of sub‐Alfvénic plasma expansions journal July 1990
Resistive stability of the cylindrical spheromak journal January 1984
Magnetohydrodynamic equations for systems with large Larmor radius journal January 1988
Finite Larmor radius magnetohydrodynamics of the Rayleigh–Taylor instability journal July 1996
Effect of finite Larmor radius on the interchange instability in a cylindrical plasma journal February 1975
Ideal magnetohydrodynamic stability of the spheromak configuration journal May 1982
Kinetic and resistive effects on interchange instabilities for a cylindrical model spheromak journal November 1983
MHD equilibria in a spheromak sustained by coaxial helicity injection journal July 1999
Dissipation and diamagnetic effects on the interchange mode growth rate and rotation in reduced magnetohydrodynamics applied to stellarators journal December 2015
Resistive instabilities in a diffuse linear pinch journal June 1966
Sustained Spheromak Physics Experiment (SSPX): design and physics results journal October 2012
Absence of Complete Finite-Larmor-Radius Stabilization in Extended MHD journal August 2008
Large-Larmor-radius interchange instability journal November 1987
Theory and Simulation of the Rayleigh-Taylor Instability in the Limit of Large Larmor Radius journal December 1987
Magnetohydrodynamic Equations for Finite Larmor Radius journal March 1962
Ideal magnetohydrodynamic theory of magnetic fusion systems journal July 1982

Similar Records

Absence of Complete Finite-Larmor-Radius Stabilization in Extended MHD
Journal Article · Fri Aug 22 00:00:00 EDT 2008 · Physical Review Letters · OSTI ID:21134159

Line-tying of interchange modes in a hot electron plasma
Journal Article · Tue Jul 01 00:00:00 EDT 1986 · Phys. Fluids; (United States) · OSTI ID:5791775