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Reversed Current Density in Tokamaks: Equilibrium and Stability Issues

Reversed Current Density in Tokamaks: Equilibrium and Stability Issues,A. A. Martynov,S. A. Galkin,S. Yu. Medvedev,L. Villard

Reversed Current Density in Tokamaks: Equilibrium and Stability Issues  
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The use of unstructured grids and local refinement adaptation algorithms are attractive tools for the flexible modelling of unusual tokamak equilibrium configurations without nested magnetic flux surfaces. For the numerical solution of Grad-Shafranov equation on triangular grids a special choice of monitor function (error indicator) for adaptation can target several goals: minimization of a solution error, resolution of fast change in the current density profiles, grid packing at chosen magnetic surfaces. In the frame of classical 1D model exact results are obtained for external kink mode stability of a cylindrical plasma with "current hole" profiles. A key parameter here is a position of zero poloidal field surface. For numerical stability study of the configura- tions without nested magnetic surfaces the ideas of hybrid finite elements and grid edge alignment to the magnetic surfaces for a good approximation of the MHD spectrum are discussed. 1 Unconventional tokamak equilibria on unstructured adaptive grids For the numerical solution of Grad-Shafranov equation −R2∇ ¢ µ ∇ψ R2
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