Coordinate transformation and construction of finite element mesh in a diverted tokamak geometry

Y. Nishimura, J. C. Lyu, F. L. Waelbroeck, L. J. Zheng, C. E. Michoski

Research output: Contribution to journalArticle


A coordinate transformation technique between straight magnetic field line coordinate system (Ψ, θ) and Cartesian coordinate system (R, Z) is presented employing a Solov'ev solution of the Grad-Shafranov equation. Employing the equilibrium solution, the poloidal magnetic flux Ψ(R, Z) of a diverted tokamak, magnetic field line equation is solved computationally to find curves of constant poloidal angle θ, which provides us with explicit relations R = R(Ψ, θ) and Z = Z(Ψ, θ). Correspondingly, conversion from one coordinate to the other along particle trajectories in the vicinity of separatrix is demonstrated. Based on the magnetic structure, a finite element mesh is generated in a diverted tokamak geometry to solve Poisson's equation.

Original languageEnglish
Article numbere201900145
JournalContributions to Plasma Physics
Publication statusAccepted/In press - 2020 Jan 1


All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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