A generalized Grad-Shafranov equation with plasma flow under a conformal coordinate transformation
arXiv:1808.07291
Abstract
We employ a conformal mapping transformation to solve a generalized Grad-Shafranov equation with incompressible plasma flow of arbitrary direction and construct particular up-down asymmetric D-shaped and diverted tokamak equilibria. The proposed method can also be employed as an alternative quasi-analytic method to solving two dimensional elliptic partial differential equations.
9 pages, 4 figures, accepted in Physics of Plasmas