A comparison of the full and reduced sets of magnetohydrodynamic equations for resistive tearing modes in cylindrical geometry

1983 ◽  
Vol 26 (9) ◽  
pp. 2569 ◽  
Author(s):  
J. A. Holmes
Keyword(s):  
Cylindrical Geometry ◽  
Magnetohydrodynamic Equations ◽  
Tearing Modes

scholarly journals Interaction of tearing modes of different pitch in cylindrical geometry

1977 ◽  
Author(s):  
H. R. Hicks ◽  
B. Carreras ◽  
J. A. Holmes ◽  
B. V. Waddell
Keyword(s):  
Cylindrical Geometry ◽  
Tearing Modes

scholarly journals Effect of Sheared Flow on Resistive Tearing Instability and the Triggering of Flare

1993 ◽  
Vol 141 ◽  
pp. 443-445
Author(s):  
X.H. Deng ◽  
S. Wang ◽  
J.M. Chen ◽  
H.Q. Zhang ◽  
G.X. Ai
Keyword(s):  
Magnetic Field ◽  
Mass Flow ◽  
Solar Flares ◽  
Nonlinear Evolution ◽  
Cylindrical Geometry ◽  
Tearing Modes ◽  
Sheared Flow ◽  
Tearing Instability

AbstractThe nonlinear evolution of tearing modes in the presence of sheared mass flow is studied in the cylindrical geometry. It is demonstrated that a sufficient large sheared mass flow can destabilize the development of resistive tearing instability. It is suggested that the coupling of sheared mass flow with shear magnetic field may be a triggering of solar flares.

Collisionless tearing modes in cylindrical geometry

2008 ◽  
Vol 50 (3) ◽  
pp. 035005
Author(s):  
E V van der Plas ◽  
H J de Blank
Keyword(s):  
Cylindrical Geometry ◽  
Tearing Modes

scholarly journals High-mkink/tearing modes in cylindrical geometry

2014 ◽  
Vol 56 (12) ◽  
pp. 125006 ◽  
Author(s):  
J W Connor ◽  
R J Hastie ◽  
I Pusztai ◽  
P J Catto ◽  
M Barnes
Keyword(s):  
Cylindrical Geometry ◽  
Tearing Modes

Effect of toroidal plasma rotation on double tearing modes in cylindrical geometry

2016 ◽  
Vol 23 (12) ◽  
pp. 122509 ◽  
Author(s):  
R. B. Zhang ◽  
X. Q. Lu ◽  
Q. H. Huang ◽  
J. Q. Dong ◽  
X. Y. Gong
Keyword(s):  
Cylindrical Geometry ◽  
Plasma Rotation ◽  
Tearing Modes ◽  
Toroidal Plasma

scholarly journals Sub-Alfvénic reduced magnetohydrodynamic equations for tokamaks

2017 ◽  
Vol 83 (3) ◽  
Author(s):  
W. Sengupta ◽  
A. B. Hassam ◽  
T. M. Antonsen
Keyword(s):  
Mhd Equations ◽  
Two Dimensional ◽  
Sound Waves ◽  
Magnetohydrodynamic Equations ◽  
Zonal Flows ◽  
Tearing Modes ◽  
Minor Radius ◽  
Self Consistent ◽  
Shear Alfven Waves ◽  
Two Fluid

A reduced set of magnetohydrodynamic (MHD) equations is derived, applicable to large aspect ratio tokamaks and relevant for dynamics that is sub-Alfvénic with respect to ideal ballooning modes. This ordering optimally allows sound waves, Mercier modes, drift modes, geodesic-acoustic modes (GAM), zonal flows and shear Alfvén waves. Wavelengths long compared to the gyroradius but comparable to the minor radius of a typical tokamak are considered. With the inclusion of resistivity, tearing modes, resistive ballooning modes, Pfirsch–Schluter cells and the Stringer spin-up are also included. A major advantage is that the resulting system is two-dimensional in space, and the system incorporates self-consistent and dynamic Shafranov shifts. A limitation is that the system is valid only in radial domains where the tokamak safety factor, $q$, is close to rational. In the tokamak core, the system is well suited to study the sawtooth discharge in the presence of Mercier modes. The systematic ordering scheme and methodology developed are versatile enough to reduce the more general collisional two-fluid equations or possibly the Vlasov–Maxwell system in the MHD ordering.

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