TY - JOUR

T1 - Coordinate transformation and construction of finite element mesh in a diverted tokamak geometry

AU - Nishimura, Y.

AU - Lyu, J. C.

AU - Waelbroeck, F. L.

AU - Zheng, L. J.

AU - Michoski, C. E.

N1 - Funding Information:
This work is supported by Taiwan MOST 107‐2112‐M‐006‐0013. This research was also supported by the U.S. Department of Energy under Grant No. DE‐FG02‐04ER54742 (IFS). One of the authors (Y.N.) is grateful for discussions with Professors R. D. Hazeltine and A. Kendl.
Publisher Copyright:
© 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

PY - 2020/6/1

Y1 - 2020/6/1

N2 - 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.

AB - 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.

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U2 - 10.1002/ctpp.201900145

DO - 10.1002/ctpp.201900145

M3 - Article

AN - SCOPUS:85078657135

VL - 60

JO - Contributions to Plasma Physics

JF - Contributions to Plasma Physics

SN - 0863-1042

IS - 5-6

M1 - e201900145

ER -