A fast, high-order solver for the Grad-Shafranov equation

Autor:	Pataki, Andras, Cerfon, Antoine J., Freidberg, Jeffrey P., Greengard, Leslie, O'Neil, Michael
Rok vydání:	2012
Předmět:	Physics - Plasma Physics Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jcp.2013.02.045
Popis:	We present a new fast solver to calculate fixed-boundary plasma equilibria in toroidally axisymmetric geometries. By combining conformal mapping with Fourier and integral equation methods on the unit disk, we show that high-order accuracy can be achieved for the solution of the equilibrium equation and its first and second derivatives. Smooth arbitrary plasma cross-sections as well as arbitrary pressure and poloidal current profiles are used as initial data for the solver. Equilibria with large Shafranov shifts can be computed without difficulty. Spectral convergence is demonstrated by comparing the numerical solution with a known exact analytic solution. A fusion-relevant example of an equilibrium with a pressure pedestal is also presented. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1210.2113 Zobrazit plný text záznamu View this record from Arxiv