A Family of Analytic Equilibrium Solutions for the Grad-Shafranov Equation
نویسندگان
چکیده
A family of exact solutions to the Grad-Shafranov equation, similar to those described by Atanasiu et al. [C. V. Atanasiu, S. Günter, K. Lackner, I. G. Miron, Phys. Plasmas 11 3510 (2004)], is presented. The solution allows for finite plasma aspect ratio, elongation and triangularity, while only requiring the evaluation of a small number of well-known hypergeometric functions. Plasma current, pressure and pressure gradients are set to zero at the plasma edge. Realistic equilibria for standard and spherical tokamaks are presented.
منابع مشابه
Comment on "Solitonlike solutions of the Grad-Shafranov equation".
In the above entitled recent publication by Giovanni Lapenta [Phys. Rev. Lett. 90, 135005 (2003) ] it is claimed construction of a new class of solitonlike solutions for the Grad-Shafranov equation in plane geometry. It is proved here that, because of the mathematically erroneous choice∇p = |Ψ|Ψ∇Ψ for an analytic continuation of the poloidal magnetic flux-function Ψ in the complex plane (p is t...
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