scholarly journals Variational moment solutions to the Grad-Shafranov equation

1981 ◽  
Author(s):  
L. L. Lao ◽  
S. P. Hirshman ◽  
R. M. Wieland
Keyword(s):  
Shafranov Equation ◽  
Moment Solutions

scholarly journals VMOMS: a computer code for finding moment solutions to the Grad-Shafranov equation

1982 ◽  
Author(s):  
L. L. Lao ◽  
R. M. Wieland ◽  
W. A. Houlberg ◽  
S. P. Hirshman
Keyword(s):  
Computer Code ◽  
Shafranov Equation ◽  
Moment Solutions

scholarly journals Vmoms — A computer code for finding moment solutions to the grad-shafranov equation

1984 ◽  
Vol 35 ◽  
pp. C-811
Author(s):  
L.L. Lao ◽  
R.M. Wieland ◽  
W.A. Houlberg ◽  
S.P. Hirshman
Keyword(s):  
Computer Code ◽  
Shafranov Equation ◽  
Moment Solutions

scholarly journals VMOMS — A computer code for finding moment solutions to the Grad-Shafranov equation

1982 ◽  
Vol 27 (2) ◽  
pp. 129-146 ◽  
Author(s):  
L.L. Lao ◽  
R.M. Wieland ◽  
W.A. Houlberg ◽  
S.P. Hirshman
Keyword(s):  
Computer Code ◽  
Shafranov Equation ◽  
Moment Solutions

Solving the Grad–Shafranov equation with spectral elements

2014 ◽  
Vol 185 (5) ◽  
pp. 1415-1421 ◽  
Author(s):  
E.C. Howell ◽  
C.R. Sovinec
Keyword(s):  
Spectral Elements ◽  
Shafranov Equation

scholarly journals A family of analytic equilibrium solutions for the Grad–Shafranov equation

2007 ◽  
Vol 14 (11) ◽  
pp. 112508 ◽  
Author(s):  
L. Guazzotto ◽  
J. P. Freidberg
Keyword(s):  
Equilibrium Solutions ◽  
Shafranov Equation

Effect of plasma flow on the equilibrium of an axisymmetric toroidal magnetic trap

1997 ◽  
Vol 58 (3) ◽  
pp. 421-432 ◽  
Author(s):  
ZH. N. ANDRUSHCHENKO ◽  
O. K. CHEREMNYKH ◽  
J. W. EDENSTRASSER
Keyword(s):  
Plasma Flow ◽  
Magnetic Trap ◽  
Plasma Equilibrium ◽  
Plasma Rotation ◽  
Stationary Plasma ◽  
Shafranov Equation ◽  
Nonlinear Vector ◽  
Analytical Expressions ◽  
Poloidal Rotation ◽  
Shafranov Shift

The effect of finite plasma rotation on the equilibrium of an axisymmetric toroidal magnetic trap is investigated. The nonlinear vector equations describing the equilibrium of a highly conducting, current-carrying plasma are reduced to a set of scalar partial differential equations. Based on Shafranov's well-known tokamak model, this set of equations is employed for the description of a kinetic (stationary) plasma equilibrium. Analytical expressions for the Shafranov shift Δ are found for the case of finite plasma rotation, where two regions of possible plasma equilibria are found corresponding to sub- and super-Alfvénic poloidal rotation. The shift Δ itself, however, turns out to depend essentially on the toroidal rotation only. It is shown that in the case of a stationary plasma flow, the solution of the Grad–Shafranov equation is at the same time also the solution of the stationary Strauss equation.

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