Comparative Analysis of Plasma Equilibrium Computations in Toroidal and Cylindrical Magnetic Traps


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Abstract

Toroidal magnetic traps for plasma confinement make up an extended object of controlled nuclear fusion investigations. Mathematical simulation of equilibrium plasma configurations in the traps often deals with their analogues straightened into a cylinder. This paper presents a comparative analysis of their numerical investigations in both geometry variants. Mathematical tool of the models use two-dimensional boundary problems with the Grad-Shafranov differential equation for the magnetic flux function. As the investigation result, we present some quantitative characteristics of differences between toroidal and cylindrical configurations by two examples: a plasma torus with longitudinal electrical current and the Galathea-Belt toroidal trap with two ring-shaped current-carrying conductors immersed into the plasma.

About the authors

K. V. Brushlinskii

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Author for correspondence.
Email: brush@keldysh.ru
Russian Federation, Moscow, 125047

I. A. Kondratyev

National Research Nuclear University MEPhI

Author for correspondence.
Email: mrkondratyev95@gmail.com
Russian Federation, Moscow, 115409

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