A generalized Grad-Shafranov equation with plasma flow under a conformal coordinate transformation
Plasma Physics
2018-08-23 v1
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.
Cite
@article{arxiv.1808.07291,
title = {A generalized Grad-Shafranov equation with plasma flow under a conformal coordinate transformation},
author = {A. Kuiroukidis and D. Kaltsas and G. N. Throumoulopoulos},
journal= {arXiv preprint arXiv:1808.07291},
year = {2018}
}
Comments
9 pages, 4 figures, accepted in Physics of Plasmas