Numerical simulation of plasma equilibrium in toroidal and cylindrical magnetic traps

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 deal with their straightened into cylinder analogues. This paper presents a comparative analysis of their numerical investigations in the both geometry variants. Mathematical means of 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 means of two examples: a plasma torus with longitudinal electrical current and the toroidal trap 'Galathea-Belt' with two ring-shaped current carrying conductors, immersed into plasma.