Section: New Results

Solving the Guiding-Center model on a regular hexagonal mesh

Participants : Michel Mehrenberger [correspondent] , Laura Mendoza, Charles Prouveur, Eric Sonnendrücker.

This work [11] introduces a Semi-Lagrangian solver for the Vlasov-Poisson equations on a uniform hexagonal mesh. The latter is composed of equilateral triangles, thus it doesn't contain any singularities, unlike polar meshes. We focus on the guiding-center model, for which we need to develop a Poisson solver for the hexagonal mesh in addition to the Vlasov solver. For the interpolation step of the Semi-Lagrangian scheme, a comparison is made between the use of box-splines and of Hermite finite elements. The code will be adapted to more complex models and geometries in the future.