Section: New Results

Implementation of a Taylor-Galerkin stabilized Finite Element

Participants : José Costa, Marie Martin, Boniface Nkonga.

The theoretical part of Taylor-Galerkin (TG) stabilized strategy applied to MHD and reduced MHD modeling has been realized. The final method amounts to add in the formulation, a self-adjoint operator associated to the most critical hyperbolic component of the system to be solved. The design of the critical contours and the identification of associated waves to be stabilized is problem dependent and related to the Jacobian matrix. A simplified version has been developed for reduced MHD and takes into account the high anisotropy of strongly magnetized plasma under consideration here. This first implementation of the TG stabilization in Jorek, has made possible efficient and robust simulations of Edge Localized Modes (Elms) and their mitigation by Resonant Magnetic Perturbations (RMP) and pellets injections. Work under progress will use more elaborated TG formulations that will be applied to reduced and full MHD models.