Geodesic
Comparative analysis of plasma equilibrium computations in toroidal and cylindrical magnetic traps
Matematičeskoe modelirovanie, Tome 30 (2018) no. 6, pp. 76-94

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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.
Keywords: magnetic traps, numerical simulation, comparison of toroidal and cylindrical configurations.
Mots-clés : equilibrium plasma configurations 
@article{MM_2018_30_6_a4,
     author = {K. V. Brushlinskii and I. A. Kondratyev},
     title = {Comparative analysis of plasma equilibrium computations in toroidal and cylindrical magnetic traps},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {76--94},
     publisher = {mathdoc},
     volume = {30},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_6_a4/}
}
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K. V. Brushlinskii; I. A. Kondratyev. Comparative analysis of plasma equilibrium computations in toroidal and cylindrical magnetic traps. Matematičeskoe modelirovanie, Tome 30 (2018) no. 6, pp. 76-94. http://geodesic.mathdoc.fr/item/MM_2018_30_6_a4/