Numerical study of an anisotropic Vlasov equation arising in plasma physics
For researchers simulating tokamak plasmas, this study provides a comparative analysis of numerical methods, but it is incremental as it only tests toy models.
The paper investigates numerical schemes for two anisotropic Vlasov equations from plasma physics, comparing their asymptotic-preserving properties to guide future realistic simulations.
Goal of this paper is to investigate several numerical schemes for the resolution of two anisotropic Vlasov equations. These two toy-models arise from a kinetic description of a tokamak plasma confined by strong magnetic fields. The simplicity of our toy-models permits to better understand the features of each scheme, in particular to investigate their asymptotic-preserving properties, in the aim to choose then the most adequate numerical scheme for upcoming, more realistic simulations.