Eulerian Vlasov codes

Four different Eulerian grid-based Vlasov solvers are discussed, namely a second order method and a fourth order method (symplectic integrator) using cubic splines for interpolation, the CIP (cubic interpolated propagation) method, and an Euler-Lagrange method applying two-dimensional cubic interpolants. The four methods will be presented by outlining their algorithm. The performance of the numerical methods will be compared by numerically solving the Vlasov-Poisson system for the distribution function on a fixed Eulerian grid, for the problem of a two-stream instability in a two-dimensional phase-space.