Grad-Shafranov equation: MHD simulation of the new solution obtained from the Fadeev and Naval models

Abstract

The new analytical solution has magnetic field lines with neutral points and singular points.• This solution enter as initial condition in an MHD simulation by excluding the singular points.• The MHD simulation shows the fast evolution of magnetic islands into current sheets.• This is the first report shows the magnetic field polarity inversion related to analytical solution of the GS equation.• The importance of the direction and amplitude of the magnetic field near the singular points is explained.