Title :
A review of some analytical solutions to the Grad-Shafranov equation
Author :
Sesnic, Silvestar ; Poljak, Dragan ; Sliskovic, Ena
Author_Institution :
FESB, Univ. of Split, Split, Croatia
Abstract :
In this paper an overview of analytical solutions to the Grad-Shafranov equation for the tokamak equilibrium is given as is a short derivation of the governing equation. First, a solution to the homogeneous equation is presented. Subsequently, three analytical solutions corresponding to three different source functions are defined. Finally, some illustrative examples are given.
Keywords :
Tokamak devices; plasma kinetic theory; plasma toroidal confinement; Grad-Shafranov equation; analytical solution; homogeneous equation; tokamak equilibrium; Equations; Magnetic flux; Magnetohydrodynamics; Mathematical model; Shape; Tokamaks; Grad-Shafranov equation; analytical solutions; nuclear fusion; tokamak;
Conference_Titel :
Software, Telecommunications and Computer Networks (SoftCOM), 2014 22nd International Conference on
Conference_Location :
Split
DOI :
10.1109/SOFTCOM.2014.7039066