### Abstract

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 language | English |
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Article number | e201900145 |

Journal | Contributions to Plasma Physics |

DOIs | |

Publication status | Accepted/In press - 2020 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics

### Cite this

*Contributions to Plasma Physics*, [e201900145]. https://doi.org/10.1002/ctpp.201900145