Section: New Results

Quasi-neutrality equation in a polar mesh

Participants : Christophe Steiner [correspondent] , Michel Mehrenberger, Nicolas Crouseilles, Philippe Helluy.

In this work [21] , we are concerned with the numerical resolution of the quasi-neutrality equation arising in plasma physics. A classic method is based on a Padé approximation. Two other methods are proposed in this paper: a high order Padé approximation and a direct method in the space configuration which consists in integrating on the gyrocircles using an interpolation operator. Numerical comparisons are performed with analytical solutions and considering the 4D drift-kinetic model with one Larmor radius. This is a preliminary study; further study in GYSELA is envisioned.