Intuition for the radial penetration of flux surface shaping in tokamaks

Justin Ball, Felix I. Parra

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Using analytic calculations, the effects of the edge flux surface shape and the toroidal current profile on the penetration of flux surface shaping are investigated in a tokamak. It is shown that the penetration of shaping is determined by the poloidal variation of the poloidal magnetic field on the surface. This fact is used to investigate how different flux surface shapes penetrate from the edge. Then, a technique to separate the effects of magnetic pressure and tension in the Grad-Shafranov equationis presented and used to calculate radial profiles of strong elongation for nearly constant current profiles. Lastly, it is shown that more hollow toroidal current profiles are significantly better at conveying shaping from the edge to the core.

Original languageEnglish (US)
Article number035006
JournalPlasma Physics and Controlled Fusion
Issue number3
StatePublished - Mar 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering
  • Condensed Matter Physics


  • flux surface geometry
  • intrinsic rotation
  • tokamak equilibria
  • updown asymmetry


Dive into the research topics of 'Intuition for the radial penetration of flux surface shaping in tokamaks'. Together they form a unique fingerprint.

Cite this