Nonlinear tearing modes in the presence of resistive wall and rotation
- 1 February 1998
- journal article
- research article
- Published by AIP Publishing in Physics of Plasmas
- Vol. 5 (2), 461-480
- https://doi.org/10.1063/1.872730
Abstract
Nonlinear simulations of tearing modes with a resistive wall and plasma rotation in a two-dimensional (2-D) incompressible slab are presented. The regimes of interest include cases (1) in which a tearing mode is unstable even for a perfectly conducting wall; (2) in which a resistive wall tearing mode is unstable but may be stabilized by rotation. In (1), the mode can lead to a wall locking process, in which both the flow and the mode’s phase velocity are slowed, allowing flux diffusion through the wall and a wider island. There is a bifurcation with hysteresis between locked and unlocked states. If the decay of total momentum is large, the range with multiple states is smaller. In (2) resistive wall modes grow and lock for all parameters with linear instability. And even if rotation gives linear stability, there is nonlinear instability. The bifurcation diagram is similar to that for case (1), but in which the zero island width state takes the place of the unlocked state. Results are shown for case (2) giving the critical field error to drive nonlinear instability and begin locking.Keywords
This publication has 42 references indexed in Scilit:
- Stability of ideal and resistive modes in cylindrical plasmas with resistive walls and plasma rotationPhysics of Plasmas, 1997
- Forced magnetic reconnection and the persistence of current sheets in static and rotating plasmas due to a sinusoidal boundary perturbationPhysics of Plasmas, 1996
- New parallel velocity shear instabilityPhysics of Plasmas, 1995
- Stabilization of ideal plasma resistive wall modes in cylindrical geometry: The effect of resistive layersPhysics of Plasmas, 1995
- Fast flow phenomena in a toroidal plasmaPhysics of Plasmas, 1995
- Two-dimensional magnetohydrodynamic simulation of a flowing plasma interacting with an externally imposed magnetic fieldPhysics of Plasmas, 1995
- Tokamak error fields and locked modesPhysics of Fluids B: Plasma Physics, 1991
- The interaction of resonant magnetic perturbations with rotating plasmasPhysics of Fluids B: Plasma Physics, 1991
- On free boundary instabilities induced by a resistive wallNuclear Fusion, 1986
- MHD-Limits to Plasma ConfinementPlasma Physics and Controlled Fusion, 1984