## Section: Software

Keywords : Vlasov, 2D and axisymmetric geometry (axisymmetric geometry, 2d geometry), beam simulation, plasma simulation, PFC method, conservative, positivity preserving.

### Vador

Participants : Francis Filbet [ correspondant ] , Eric Sonnendrücker.

The development of the Vador code by Francis Filbet started during his PhD thesis. It solves the Vlasov equation on a uniform grid of phase-space. The two-dimensional version (four dimensions in phase-space) uses cartesian geometry and the Positive Flux Conservative (PFC) method [65] , that is perfectly conservative and enables to preserve the positivity of the distribution function. The axisymmetric version is based on the use of the invariance of the canonical momentum and uses a semi-Lagrangian method following the characteristics exactly at the vicinity of r= 0 . The method is described in [64] . It has been applied as well for plasma as for beam simulations.

The code is available at the following address: