A numerical method for solving the VlasovPoisson equation based on the conservative IDO scheme
We have applied the conservative form of the Interpolated Differential Operator (IDO-CF) scheme in order to solve the VlasovPoisson equation, which is one of the multi-moment schemes. Through numerical tests of the nonlinear Landau damping and two-stream instability, we compared the present scheme with other schemes such as the Spline and CIP ones. We mainly investigated the conservation property of the L1-norm, energy, entropy and phase space area for each scheme, and demonstrated that the IDO-CF scheme is capable of performing stable long time scale simulation while maintaining high accuracy. The scheme is based on an Eulerian approach, and it can thus be directly used for FokkerPlanck, high dimensional VlasovPoisson and also guiding-center drift simulations, aiming at particular problems of plasma physics. The benchmark tests for such simulations have shown that the IDO-CF scheme is superior in keeping the conservation properties without causing serious phase error.
ido scheme conservative form vlasovpoisson simulation fokkerplanck simulation entropy production