Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields

Solar Physics ◽  
1989 ◽  
Vol 123 (2) ◽  
pp. 241-269 ◽  
Author(s):  
P. De Bruyne ◽  
A. W. Hood
Keyword(s):  
Magnetic Fields ◽  
Ideal Mhd ◽  
Coronal Magnetic Fields ◽  
Mhd Stability ◽  
The Ideal

Study of the ideal MHD stability of helical equilibria

1983 ◽  
Vol 25 (11) ◽  
pp. 1257-1269
Author(s):  
L A Charlton ◽  
D K Lee
Keyword(s):  
Ideal Mhd ◽  
Mhd Stability ◽  
The Ideal

Ideal magnetohydrodynamic stability in stellarators with subsonic equilibrium flow

2021 ◽  
Author(s):  
Carolin Nuehrenberg
Keyword(s):  
Mathematical Formulation ◽  
Radial Electric Field ◽  
Weak Form ◽  
Unstable Flow ◽  
Magnetic Surfaces ◽  
Ideal Mhd ◽  
Mhd Stability ◽  
Ideal Magnetohydrodynamic ◽  
The Stability ◽  
The Ideal

Abstract The effect of a subsonic flow, inherent to most stellarators because of a radial electric field, on their ideal magnetohydrodynamic (MHD) stability properties is studied employing the quasi-Lagrangian picture developed by Frieman and Rotenberg [1960 Rev. Mod. Phys. 32, 898]. The Mach number of the perpendicular ExB flow in stellarators is of order 0.01 and, therefore, admits the usage of a subsonic approximation in form of a static equilibrium. A mathematical formulation of the weak form of the stability equation with flow has been implemented in the ideal-MHD stability code CAS3D. This formulation uses magnetic coordinates and does not involve any derivatives across magnetic surfaces. In addition to the expected Doppler shift of frequencies, properties of the spectrum of the ideal MHD force operator, which are already known for tokamaks, but now also shown in the stellarator case, are: firstly, the appearance of unstable flow-induced continua stemming from the coupling of sound and Alfven continuum branches with equal mode numbers; and, secondly, the existence of flow-induced, global, stable modes near extrema of sound continuum branches, the extrema, in turn, being generated by the influence of a sheared flow on the static sound continua.

The ideal MHD stability of time-dependent Z-pinch equilibria

1989 ◽  
Vol 31 (9) ◽  
pp. 1443-1449 ◽  
Author(s):  
I D Culverwell ◽  
M Coppins
Keyword(s):  
Time Dependent ◽  
Ideal Mhd ◽  
Mhd Stability ◽  
Z Pinch ◽  
The Ideal

Numerical study of the ideal-MHD stability limits in oblate spheromaks

1981 ◽  
Vol 21 (11) ◽  
pp. 1399-1407 ◽  
Author(s):  
P. Gautier ◽  
R. Gruber ◽  
F. Troyon
Keyword(s):  
Numerical Study ◽  
Ideal Mhd ◽  
Mhd Stability ◽  
Stability Limits ◽  
The Ideal
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