Open AccessA tokamak equilibrium with arbitrary aspect ratio
Author(s) -
S. B. Zheng,
A. J. Wootton,
E.R. Solano
Publication year - 1995
Language(s) - English
Resource type - Reports
DOI - 10.2172/468594
Subject(s) - tokamak , beta (programming language) , plasma , physics , radius , aspect ratio (aeronautics) , elongation , computation , function (biology) , parametric statistics , current (fluid) , flux (metallurgy) , mechanics , computational physics , mathematics , nuclear physics , thermodynamics , chemistry , materials science , computer science , algorithm , statistics , computer security , optoelectronics , evolutionary biology , biology , metallurgy , ultimate tensile strength , programming language , organic chemistry
A general analytical solution of the Grad-Shafranov equation is presented. It allows the simulation of plasmas with elongation and triangularity, with an independent choice of pressure and plasma current. A numerical computed fit to families of such solutions allows the direct computation of the poloidal flux function {Psi}(R,Z) from a parametric description of the plasma given by aspect ratio A, elongation {kappa}, triangularity {delta}, size (i.e. major radius), plasma beta poloidal {beta}{sub pol}, and plasma current I{sub p}