13 Field-line-following coordinates

  13.1 Definition of the field-line-following coordinates (ψ,𝜃,α)
  13.2 Some discussions
  13.3 Expression of α, ψ ⋅∇α, and α ⋅∇𝜃
  13.4 Field-aligned coordinates in GEM[7] and GENE[13] codes
  13.5 Visualization of gridpoints in field aligned coordinate system
   Radial wavenumber in field-aligned coordinates (ψ,𝜃,α)
   Periodic conditions of physical quantity along 𝜃 and α in field-line-following coordinates (ψ,𝜃,α)
   Numerical implementation of periodic condition (329)
   α contours on a magnetic surface
   α contours in a toroidal annulus
  13.6 Field-line-following mesh in gyrokinetic turbulence simulation codes
   Mesh in GENE, GYRO, and GEM codes
   Mesh in GTC and GTS codes[26]
   Mesh in XGC1 code ***check**
  13.7 Numerical verification of the field-aligned coordinates
   Binormal wavenumber