Semi-Lagrangian Vlasov Simulations of Laser-Plasma Interaction: Review and Advances, pp. 37-84
Authors: (A. Ghizzo, Nancy-Univ., Vandoeuvre les Nancy, France)
Abstract: Halfway between the N body problem and the well-known hydrodynamical (fluid) model, the Vlasov equation (supplemented by the Poisson or Maxwell equations) describes self consistent particle dynamics in a variety of physical systems, including space and laboratory plasmas, stellar dynamics or thermonuclear fusion. The numerical integration of the Vlasov equation is one of the key challenges of computational plasma physics. Since the early days of this discipline, an intensive work on this subject has produced many different numerical schemes, which however, can be bunched together in two main groups. On the one hand, Particle-In-Cell (PIC) codes have proven to be useful in studying plasma dynamics even in 2D or 3D problems and complex geometries and on the other hand the famous Vlasov models.